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Which of the following light has the combination of all frequencies of visible light?
A. white light
B. black light
C. ultraviolet light
D. infrared light
E. transparency
| 3 |
Physics
|
If a solute under goes dimerization and trimerization, the minimum values
of the vant Hoff factors are:
A. 0.50 and 1.50
B. 1.50 and 1.33
\( c .0 .50 \) and 0.33
D. 0.25 and 0.67
| 1 |
Chemistry
|
3 mol of a mixture of \( F e S O_{4} \) and
\( \boldsymbol{F} \boldsymbol{e}_{2}\left(\boldsymbol{S} \boldsymbol{O}_{4}\right)_{3} \) required \( \mathbf{1 0 0 m} \boldsymbol{L} \) of \( \boldsymbol{2} \boldsymbol{M} \)
\( K M n O_{4} \) solution in acidic medium.
Hence, mole fraction of \( F e S O_{4} \) in the
mixture is:
A \( \cdot \frac{1}{3} \)
B. \( \frac{2}{3} \)
c. \( \frac{2}{5} \)
D. \( \frac{3}{5} \)
| 1 |
Chemistry
|
Which of the following would show deflection in the compass needle, the
moment you dip the free ends of the
tester?
A. Tap water, vinegar
B. Tap water, vegetable oil
c. tap water, honey
D. vegetable oil, honey
| 1 |
Chemistry
|
The angle of minimum deviation for a
\( 75^{\circ} \) prism of dense glass is found to be
\( 45^{\circ} \) when in air and \( 15^{\circ} \) when immersed in certain liquid. The refractive index of the liquid is :
A. \( \sqrt{\frac{2}{3}} \)
B. \( \frac{3}{2} \)
c. \( \sqrt{\frac{3}{2}} \)
D. \( \sqrt{3} \)
| 3 |
Physics
|
Images formed on retina of human eye
are:
A. Real
B. Virtual
c. Human eye adapts to form the image suitable
D. Both real and virtual
| 3 |
Physics
|
Find the range of the following function \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{2}, \boldsymbol{x} \in \boldsymbol{R} \)
| 2 |
Maths
|
According to WHO, the soft water has 0 to \( _{--}--_{-} \) milligram per litre as
\( \boldsymbol{C a C O}_{3} \)
A . 60
B. 120
c. 180
D. 150
| 0 |
Biology
|
A beam of specific kind of particles of
velocity, \( 2.1 \times 10^{7} m / s \) is scattered by
a gold \( (Z=79) \) nuclei. Find out specific charge (charge/mass) of this particle if this distance of closest approach is \( 2.5 \times 10^{-14} m ? \)
\( \mathbf{A} \cdot 4.84 \times 10^{7} C / k g \)
B . \( 4.84 \times 10^{-7} \mathrm{C} / \mathrm{kg} \)
c. \( 2.42 \times 10^{7} \mathrm{C} / \mathrm{kg} \)
\( \mathbf{D} \cdot 3 \times 10^{-12} C / k g \)
| 1 |
Chemistry
|
Let then \( \boldsymbol{f}(\boldsymbol{x})= \)
\( (x-4)(x-5)(x-6)(x-7) \) then
A \( \cdot f^{\prime}(x)=0 \) has four real roots
\( \mathbf{B} \cdot \) three roots of \( f^{\prime}(x)=0 \) lie in (4,5)\( \cup(5,6) \cup(6,7) \)
C \( \cdot \) the euation \( f^{\prime}(x)= \) has only two roots \( >d \). three roots
of \( f^{\prime}(x)=0(3,4) \cup(4,5) \cup(5,6) \)
D. three roots of \( f^{\prime}(x)=0(3,4) \cup(4,5) \cup(5,6) \)
| 2 |
Maths
|
If the values of inductance and
frequency in an AC circuit are 2 henry and \( \frac{10^{3}}{2 \pi} \) Hz respectively then the value of inductive reactance will be
A \( \cdot \frac{2 \times 10^{3}}{\pi} \Omega \)
B . \( 2 \times 10^{2} \Omega \)
\( c \cdot 10^{3} \Omega \)
D. \( 2 \times 10^{3} \Omega \)
| 3 |
Physics
|
\( \boldsymbol{C}+\boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\mathrm{i}) ; \quad \boldsymbol{\Delta} \boldsymbol{H}=-\boldsymbol{3} \boldsymbol{9} \boldsymbol{3} \mathbf{k} \)
\( m o l^{-1} \)
\( \boldsymbol{H}_{2}+\mathbf{1} / \mathbf{2} \boldsymbol{O}_{2} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O},(\mathbf{i} \mathbf{i}) ; \quad \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -287.3 \mathrm{kJ} \) mole\( ^{-1} \)
\( 2 C O_{2}+3 H_{2} O \rightarrow C_{2} H_{5} O H+3 O_{2} \)
(iii); \( \Delta \boldsymbol{H}=\mathbf{1 3 6 6 . 8} \) kJ \( \boldsymbol{m o l}^{-1} \)
Find the standard enthalpy of formation of \( C_{2} H_{5} O H(l) \)
A \( \cdot 281.1 \) kJ \( m o l^{-1} \)
в. \( -281.1 \mathrm{kJ} \) тог
\( \mathrm{c} \cdot_{562.2 \mathrm{kJ}} \mathrm{mol}^{-1} \)
D. \( -562.2 \mathrm{k} \) s \( \mathrm{mol}^{-1} \)
| 1 |
Chemistry
|
If the angles of a triangle are in the ratio
\( 2: 3: 4, \) find the three angles.
A \( \cdot 80^{\circ}, 120^{\circ}, 160^{\circ} \)
\( ^{\circ} 00^{\circ}, 166^{\circ} 0^{\circ} \)
В. \( 20^{\circ}, 30^{\circ}, 40^{\circ} \)
c. \( 40^{\circ}, 60^{\circ}, 80^{\circ} \)
D. None of these
| 2 |
Maths
|
\( 10.0 \mathrm{cm} \) from the centre of the pipe (half
way between the centre and the walls)
| 3 |
Physics
|
If the entries in a \( 3 \times 3 \) determinant are
either 0 or 1 , then the greatest value of their determinats is:
A
B. 2
\( c \cdot 3 \)
D.
| 2 |
Maths
|
Three flasks of identical volume are filled
separately by
(a) 1 gram of \( H_{2} \)
(b) 1 gram of \( O_{2} \)
(c) 1 gram of \( C O_{2} \)
They are immersed in a tank of water so
that all of them attain same
temperature. The pressures \( P_{1}, P_{2} \) and \( P_{3} \)
have the on.
\( \mathbf{A} \cdot P_{1}>P_{2}>P_{3} \)
\( \mathbf{B} \cdot P_{1}=P_{2}=P_{3} \)
\( \mathbf{c} \cdot P_{1}<P_{2}<P_{3} \)
\( \mathbf{D} \cdot P_{3}>P_{1}>P_{2} \)
| 3 |
Physics
|
If 3 charges are placed at the vertices of
equilateral triangle of charge \( ^{\prime} \boldsymbol{q}^{\prime} \) each
What is the net potential energy, if the side of equilateral triangle is \( 1 c m \)
A. \( \frac{1}{4 \pi \epsilon_{0}} \frac{q^{2}}{l} \)
B. \( \frac{1}{4 \pi \epsilon_{0}} \frac{2 q^{2}}{l} \)
c. \( \frac{1}{4 \pi \epsilon_{0}} \frac{3 q^{2}}{l} \)
D. \( \frac{1}{4 \pi \epsilon_{0}} \frac{4 q^{2}}{l} \)
| 3 |
Physics
|
What is the unit of electric potential difference?
A. volt
B. Coulamb
c. Joul
D. watt
| 3 |
Physics
|
How many terms of the series \( 54,51,48, \dots \dots \) be taken so that their
sum is \( 513 ? \)
A . 18
B . 19
c. 20
D. \( A \) and \( B \)
| 2 |
Maths
|
A pendulum bob is held stationary by a horizontal force H. The three forces
acting on the bob are shown in the
diagram.
The tension in the string of the pendulum is T. The weight of the pendulum bob is W.The string is held at
an angle of \( 30^{\circ} \) to the vertical.
Which statement is correct?
A. \( H=T \cos 30 \)
B. \( T=H \sin 30 \)
c. \( W=T \sin 30 \)
D. \( W=T \cos 30 \)
| 3 |
Physics
|
Which of the following relation is not correctly matched with the formula?
A \( \cdot \ln \) case of association, \( \alpha=\frac{i-1}{\frac{1}{n}-1} \)
B. \( _{\text {In case of dissociation, } \alpha}=\frac{i-1}{n+1} \)
\( i \frac{n_{B}}{n_{A}+n_{B}} \)
Devation in boiling point, \( \Delta T=K_{b} \times \frac{W_{B} \times 1000}{M_{B} \times W_{A}} \)
| 1 |
Chemistry
|
Which of the following molecule has
\( O-O \) bond?
This question has multiple correct options
\( \mathbf{A} \cdot H_{2} S_{2} O_{8} \)
\( \mathbf{B} \cdot H_{2} S_{2} O_{7} \)
\( \mathbf{c} \cdot H_{2} S O_{5} \)
\( \mathbf{D} \cdot H_{2} S_{2} O_{6} \)
| 1 |
Chemistry
|
Solve the differential equation \( \left(x^{2}-\right. \) \( \left.\boldsymbol{y}^{2}\right) \boldsymbol{d} \boldsymbol{x}-\boldsymbol{x} \boldsymbol{y} \boldsymbol{d} \boldsymbol{y}=\mathbf{0} \)
A \( \cdot y^{2}\left(x^{2}-2 y^{2}\right)=k \)
B . \( x^{2}\left(x^{2}-2 y^{2}\right)=k \)
C \( \cdot y^{2}\left(2 x^{2}-y^{2}\right)=k \)
D. \( x^{2}\left(2 x^{2}-y^{2}\right)=k \)
| 2 |
Maths
|
Why should the height of lightning conductor is more than that of the walls
of the building?
A . Lightning get attracted towards the tallest target
B. Lightning get repelled
c. Lightning get attracted by the walls of building
D. None of the above
| 3 |
Physics
|
Each wire in Fig. has cross-section area
\( 5 \times 10^{-3} c m^{2} \) and \( Y=2 \times 10^{11} P a . P, Q \)
and R have mass \( 3 k g \) each. Find the
strain developed in A. Assume surface
to be smooth.
A \( \cdot 10^{-5} \)
B. \( 10^{-6} \)
c. \( 10^{-4} \)
D. none
| 3 |
Physics
|
State whether given statement is True or False.
It's possible to have motion in the absence of a force
A. True
B. False
| 3 |
Physics
|
For positive integers \( n_{1}, n_{2} \) the value of
the expression \( (1+i)^{n_{1}}+\left(1+i^{3}\right)^{n_{1}}+ \)
\( \left(1+i^{5}\right)^{n_{2}}+\left(1+i^{7}\right)^{n_{2}}, \) where \( i=\sqrt{-1} \)
is a real number if
A \( \cdot n_{1}=n_{2}+1 \)
В . \( n_{1}=n_{2}-1 \)
c. \( n_{1}=n_{2} \)
D \( . n_{1}>0, n_{2}>0 \)
| 2 |
Maths
|
During respiration there is
A. gain in dry weight
B. loss in dry weight
C. no change in dry weight
D. increase in the overall weight
| 0 |
Biology
|
Select the correct statement:
This question has multiple correct options
A. Chelation effect is maximum for five and six
membered rings
B. Greater the charge on the central metal cation, greater the value of \( \Delta(\mathrm{CFSE}) \)
C. In complex ion \( \left[\mathrm{CoF}_{6}\right]^{3-}, F^{-} \) is a weak field ligand, so that \( \Delta_{\text {oct}}<P \) (Pairing energy) and it is low spin
complex.
D. \( \left[\operatorname{CoCl}_{2}\left(N H_{3}\right)_{2}(e n)\right]^{\oplus} \) complex ion will have four different isomers.
| 1 |
Chemistry
|
A card is drawn from a well shuffled
pack of 52 cards. Events A and B are defined as follows:
\( A: \) Getting a card of spade
B : Getting an ace, then \( A \) and \( B \) are
A. mutually exclusive and independent events
B. not mutually exclusive but independent events
c. mutually exclusive and not independent events
D. neither mutually exclusive nor independent events
| 2 |
Maths
|
A particle is moving along a circular path with a constant speed of \( 10 m s^{1} \) What is the magnitude of the change is velocity of the particle, when it moves
through an angle of 60 around the centre of the circle?
A .
в. \( 10 \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} \cdot 10 \sqrt{3} m / s \)
D. \( 10 \sqrt{2} \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
The area bounded by \( \frac{|\boldsymbol{x}|}{\boldsymbol{a}}+\frac{|\boldsymbol{y}|}{\boldsymbol{b}}=\mathbf{1} \)
where \( a>0 \) and \( b>0 \) is
A \( \cdot \frac{1}{2} a b \)
в. \( a b \)
c. \( 2 a b \)
D. \( 4 a b \)
| 2 |
Maths
|
Consider an "L"-shaped object where the vertical leg extends from the origin to
(0,5) and the horizontal segment
extends from the origin to (3,0)
Assume that the object has uniform
linear density throughout. Where is the location of the center of
\( \operatorname{mass}(\boldsymbol{C o} \boldsymbol{M}) ? \)
A \( \cdot(1.5,1.5) \)
B . (1.5,2.5)
\( \mathbf{c} \cdot(2.5,2.5) \)
D. The center of mass for an "L" is undefined because there is no single point on the object where it can be supported, such that it will not rotate
E. None of these
| 3 |
Physics
|
The process \( S o l i d \rightarrow G a s \) is known as:
A. sublimation
B. condensation
c. evaporation
D. deposition
E. melting
| 3 |
Physics
|
A compound microscope has on objective of focal length \( 0.5 \mathrm{cm} \) and a tube length of \( 15 \mathrm{cm} . \) If it produces and angular magnification of 225 in normal adjustment, find the focal length of the
eyepiece.
A. \( 3.33 \mathrm{cm} \)
B. \( 15 \mathrm{cm} \)
c. \( 2.25 \mathrm{cm} \)
D. 3.5 cm
| 3 |
Physics
|
Rearrange the following steps of constructing a triangle when the base angle say \( \angle B \) and \( \angle C \) and its
perimeter \( \boldsymbol{B C}+\boldsymbol{C A}+\boldsymbol{A B} \) is given:
1. Draw perpendicular bisectors \( \boldsymbol{P Q} \) of
\( A X \) and \( R S \) of \( A Y \)
2. Draw a line segment, say \( X Y \) equal to \( B C+C A+A B \)
3. Let \( P Q \) intersect \( X Y \) at \( B \) and \( R S \)
intersect \( X Y \) at \( C . \) Join \( A-B \) and
\( A-C \)
4. Make \( \angle L X Y \) equal to \( \angle B \) and
\( \angle M Y X \) equal to \( \angle C \)
5. Bisect \( \angle L X Y \) and \( \angle M Y X \). Let these
bisectors intersect at a point \( \boldsymbol{A} \)
\( \mathbf{A} \cdot 1 \rightarrow 3 \rightarrow 5 \rightarrow 4 \rightarrow 2 \)
В. \( 2 \rightarrow 4 \rightarrow 5 \rightarrow 1 \rightarrow 3 \)
c. \( 5 \rightarrow 4 \rightarrow 3 \rightarrow 2 \rightarrow 1 \)
D. \( 2 \rightarrow 3 \rightarrow 5 \rightarrow 4 \rightarrow 1 \)
| 2 |
Maths
|
What is the difference between
Dispersed phase and Dispersion medium?
| 1 |
Chemistry
|
Fructose on reduction gives a mixture
of two alcohols which are related as:
A. Diastereomers
B. Epimers
c. Both (a) and (b)
D. Anomers
| 1 |
Chemistry
|
The relation between frequency \( v \)
wavelength \( \lambda \) and velocity of
propagation of wave \( \nu \) is
A \( \cdot v=\frac{\lambda}{\nu} \)
B . \( v=\lambda \nu \)
c. \( v=\frac{\nu}{\lambda} \)
D. None of these
| 3 |
Physics
|
"Sodium metals when dissolved in
ammonia gives a non-conducting solution."
Answer whether the above statement is
true or false.
If true enter 1 , else enter 0
| 1 |
Chemistry
|
State whether the following statements
are true or false?
(i) the pressure inside our body is equal to the atmospheric pressure
(ii) pressure is inversely proportional to the area.
A. Both are true
B. Both are false
c. (i) True
(ii) False
D. (i) False
(ii) True
| 3 |
Physics
|
A man earns \( x \% \) on the first Rs. 2,000
and \( y \% \) on the rest of his income. If he
earns Rs.700 from Rs. 4,000 and Rs. 900
from Rs. 5,000 of income, find \( x \% \)
A . 20 \%
B . 15 \%
c. 25 \%
D. None of these
| 2 |
Maths
|
The number of vibrations exhibited by a vibrating particle in one second is called its frequency. True or false.
A. True
B. False
| 3 |
Physics
|
In the reaction \( \boldsymbol{F e}(\boldsymbol{O} \boldsymbol{H})_{3}, \boldsymbol{F} \boldsymbol{e}_{\boldsymbol{a} \boldsymbol{q}}^{3+}+ \)
\( 3 O H_{a q}^{-}, \) if the concentration of \( O H^{-} \) is decreased by \( \frac{1}{4} \) times then the equilibrium concentration of \( \boldsymbol{F} \boldsymbol{e}^{\mathbf{3}+} \)
increased by how many times??
| 1 |
Chemistry
|
The critical temperature is the
temperature:
A. below which the gas undergoes cooling when expanded into vacuum
B. at which a gas liquefies at 1 at \( m \)
C. at which the average kinetic energy of the molecules is \( \operatorname{minimum} \)
D. above which the gas cannot be liquefied how so ever high pressure may be applied
| 1 |
Chemistry
|
The product of the d.r's of a line perpendicular to the plane passing through the points (4,0,0),(0,2,0) and (1,0,1) is
A. 6
B . 2
\( c .0 \)
\( D \)
| 2 |
Maths
|
A small particle travelling with a
velocity v collides elastically with a
smooth spherical body of equal mass
and of radius \( r \) initially kept at rest. The
centre of this spherical body is located
a distance
8
| 3 |
Physics
|
The velocity vector of a particle moving in the xy plane is given by \( v=t i+x j \). If initially, the particle was at origin then the equation of trajectory of the projectile is:
A \( \cdot 4 x^{2}-9 y=0 \)
B. \( 9 x^{2}-2 y^{3}=0 \)
c. \( 16 x^{3}-9 y^{2}=0 \)
D. \( 9 x^{3}-2 y^{2}=0 \)
| 3 |
Physics
|
State your observation when nitric acid is added to saw dust colour appears is :
A. black
B. grey
c. grey gold.
D. brown
| 1 |
Chemistry
|
Oxygen haemoglobin dissociation curve will shift to right on decrease of
A. Acidity
B. Carbon dioxide concentration
c. Both A and B
D. ph
| 0 |
Biology
|
Give reason for the higher boiling point
of ethanol in comparison to
methoxymethane.
| 1 |
Chemistry
|
If \( a+b+c+d+e+f=12 \) then the
maximum value of \( a b+b c+c d+d e+ \)
\( e f+f a \) is \( (a, b, c, d, e, f \) are non
negative real numbers)
A . 36
B . 24
c. 30
D. none of these
| 2 |
Maths
|
State the properties and uses of a
Junction transistor
| 3 |
Physics
|
Two planes intersect each other to form
\( \mathbf{a}: \)
A. plane
B. point
c. straight line
D. angle
| 2 |
Maths
|
In plant succession, the net productivity of climax community
A. Continuous to increase
B. Becomes stable
c. Becomes halvedd
D. Reduced to \( 10 \% \)
E. Becomes zero
| 0 |
Biology
|
What is the average adult female speaking voice range?
A . \( 125 \mathrm{Hz} \)
в. 210нz
c. 300 н \( z \)
D. 400нz
| 3 |
Physics
|
(a) A rod of length I is moved horizontally with a uniform velocity 'v' in a direction perpendicular to its length
through a region in which a uniform magnetic field is acting vertically downward. Derive the expression for the
emf induced across the ends of the rod.
(b) How does one understand this
motional emf by invoking the Lorentz force acting on the free charge carriers of the conductor? Explain.
| 3 |
Physics
|
The life span of red blood cells is about
A. 100 days
B. 80 years
c. 120 days
D. 10 days
| 0 |
Biology
|
For which cell e.m.f. is independent of
the concentrations of electrolytes used?
\( \mathbf{A} \cdot F e|F e O(s)| K O H(a q)|N i O(s)| N i_{2} O_{3}(s) \mid N i \)
\( \mathbf{B} \cdot P t\left(H_{2}\right)|H C l| P t\left(C l_{2}\right) \)
\( \mathbf{c} \cdot Z n\left|Z n\left(N O_{3}\right)_{2}\right|\left|C u S O_{4}\right| C u \)
D. \( H g, H g C l_{2}\left|K C l \| A g N O_{3}\right| A g \)
| 1 |
Chemistry
|
Assertion
\( N_{2} O \) supports combustion more
vigorously than air
Reason
Both nitrogen and oxygen contribute for combustion
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
| 1 |
Chemistry
|
For a given reaction \( \boldsymbol{A} \rightarrow \) Products, rate
is \( 1 \times 10^{-4} M s^{-1} \) when \( [A]=0.01 \mathrm{M} \)
and rate is \( 1.41 \times 10^{-4} M s^{-1} \) when
\( [\boldsymbol{A}]=\mathbf{0 . 0 2} \) M. Hence, rate law is:
A \( \cdot-\frac{d[A]}{d t}=k[A]^{2} \)
B. \( -\frac{d[A]}{d t}=k[A] \)
\( ^{\mathrm{c}}-\frac{d[A]}{d t}=\frac{k}{4}[A] \)
D. \( -\frac{d[A]}{d t}=k[A]^{1 / 2} \)
| 1 |
Chemistry
|
English Braille has how many levels of encoding?
\( \mathbf{A} \cdot \mathbf{1} \)
B. 5
\( c \cdot 3 \)
\( D \)
| 3 |
Physics
|
A force \( \overrightarrow{\boldsymbol{F}}=(2 \hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}}-\boldsymbol{5} \hat{\boldsymbol{k}}) \boldsymbol{N} \) acts at a
point \( \vec{r}_{1}=(2 \hat{i}+4 \hat{j}+7 \hat{k}) m . \) The
torque of the force about the point \( \vec{r}_{2}= \) \( (\hat{\mathbf{i}}+\mathbf{2} \hat{\mathbf{j}}+\mathbf{3} \hat{\boldsymbol{k}}) \boldsymbol{m} \) is :
A \( .17 \hat{j}+5 \hat{k}-3 \hat{i}) N m \)
B . \( 2 \hat{i}+4 \hat{j}-6 \hat{k}) N m \)
c. \( 12 \hat{i}-5 \hat{k}+7 \hat{k}) N m \)
D. \( 13 \hat{j}-22 \hat{i}-\hat{k}) N m \)
| 3 |
Physics
|
Write the formula of :
Tetraamineaquachloridocobalt (III)
chloride.
| 1 |
Chemistry
|
A \( 5 \% \) solution (w/v) of cane-sugar (Mol. weight \( =342 \) ) is isotonic with \( 0.877 \% \) \( (w / v) \) of urea solution. Find molecular
weight of urea (round off to the nearest integer).
| 1 |
Chemistry
|
Two masses \( M_{1} \) and \( M_{2} \) are attached
to the end of a light string which passes
over a massless pulley attached to the
top of a double inclined smooth plane of
angles of inclination \( \boldsymbol{\alpha} \) and \( \boldsymbol{\beta} \). If \( \boldsymbol{M}_{\mathbf{2}}> \)
\( M_{1} \) and \( \beta>\alpha \) then the acceleration of
block \( M_{2} \) down the inclined will be:
A \( \cdot \frac{M_{2} g(\sin \beta)}{M_{1}+M_{2}} \)
В. \( \frac{M_{1} g(\sin \alpha)}{M_{1}+M_{2}} \)
\( c \)
D. Zero
| 3 |
Physics
|
toppr 5
Q type your question
(b) \( \frac{4}{20} \)
\( (c) \frac{1}{2} \)
(d) \( \frac{2}{3} \)
\( (e) \frac{3}{5} \)
(f) \( 2 \frac{1}{7} \)
\( (g) \frac{1}{5} \)
(h) \( \frac{4}{15} \)
(i) \( \frac{1}{6} \)
(j) \( 4 \frac{3}{8} \)
(k) \( \frac{8}{9} \)
(।) \( 1 \frac{1}{9} \)
| 2 |
Maths
|
Which of the following Earth's plates is responsible for causing an earthquake?
A. The crust of the earth
B. The mantle of the earth
c. The inner core of the earth
D. The outer core of the earth
| 3 |
Physics
|
The equation of motion of particle is
given by dp \( / \mathrm{dt}+\mathrm{m} \omega^{2} \mathrm{y}=0 \) where p is momentum and y is its position. Then the particle :
A. moves along a straight line
B. moves along a parabola
c. executes simple harmonic motion
D. falls freely under gravity
| 3 |
Physics
|
If \( f(x)=a x^{2}+b x+c, \) show that \( \lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}=2 a x+b \)
| 2 |
Maths
|
Some meta - directing substituent in aromatic substitution is given.Which one is most deactivating?
A \( . C N \)
в. \( S O_{3} \) Н
c. со ОН
D. \( N O_{2} \)
| 1 |
Chemistry
|
Force generated by transpiration can create pressure to lift water upto
A. 130 feet
B. 130 metres
c. 230 feet
D. 230 metres
| 0 |
Biology
|
Find the distance of the point (-1,1) from the line \( 12(x+6)=5(y-2) \)
| 2 |
Maths
|
Prove that \( 4\left[\sin ^{4} 30^{\circ}+\cos ^{4} 60^{\circ}\right]- \)
\( 3\left[\cos ^{2} 45^{\circ}-\sin ^{2} 90^{\circ}\right]=2 \)
| 2 |
Maths
|
When pure semimconductor is doped
then its electrical conductivity
A. increases
B. decreases
c. remains constant
D. initially increases and then decreases
| 3 |
Physics
|
Cis-dicholoroethylene can be converted to trans-dicholorethylene by irradiations. During the interconversion.
A. Both the \( \pi \) and \( \sigma \) bonds are broken and reformed
B. Only the \( \pi \) bond is broken and reformed
c. The \( C-C l \) and \( C-H \) bonds are broken, \( H \) and \( C l \)
atoms interchanges their positions and new bonds are formed
D. Both the \( \pi \) and \( \sigma \) bonds rotate along with the groups
| 1 |
Chemistry
|
Carbon reduction process is not commercially applicable for which of the following set of oxides to extract the respective metal?
(I) \( Z n O \)
\( (\|) \boldsymbol{F} \boldsymbol{e}_{2} \boldsymbol{O}_{3} \)
\( (\| I) A l_{2} O_{3}(I V) \)
\( \boldsymbol{S} \boldsymbol{n} \boldsymbol{O}_{2}(\vee) \boldsymbol{M} \boldsymbol{g} \boldsymbol{O} \)
A. \( Z n O, F e_{2} O_{3}, S n O_{2} \)
в. \( Z n O, S n O_{2}, M g O \)
\( \mathrm{c} \cdot \mathrm{Mg} \mathrm{O}, \mathrm{Al}_{2} \mathrm{O}_{3} \)
D. \( M g O, S n O_{2}, A l_{2} O_{3} \)
| 1 |
Chemistry
|
Find the order and degree of the given
differential equation: \( y^{\prime}=\sin y . \) The
order of this equation is the same as its degree. If true enter 1 else enter 0
| 2 |
Maths
|
Read the following bar graph (Fig. 23.12) and answer the following questions:
State each of the following whether true
or false.
The number of government companies in 1957 is that of 1982 is 1: 9
A. True
3. False
| 2 |
Maths
|
toppr
Q Type your question
conductivity of theses reactions is
given in List II. Match List I with List II
and select the correct using the code
given below the lists:
List-A
\( (P) \)
(1) Conductivity decreases and
\[
\left(\begin{array}{cc}
\left.C_{2} H_{5}\right)_{3} N+ & \text { then increases } \\
X &
\end{array}\right.
\]
\[
C H_{2} C O O H
\]
(Q)
(2) Conductivity decreases and
\[
\begin{array}{c}
K I(0.1 M)+ \\
X
\end{array}
\]
\[
\begin{array}{c}
A g N O_{3}(0.01 M) \\
Y
\end{array}
\]
(R)
(3) Conductivity increases and \( C H_{2} C O O+\quad \) then does not change much \( K_{Y}^{O H} \)
(4) Conductivity does not
(S) \( N a O H+\quad \) change much and then \[ X \] \( H I \)
\( Y \)\( \quad \) increases
A. 3,4,2,1
B. 4,3,2,1
C. 2,3,4,1
D. 1,4,3,2
| 1 |
Chemistry
|
In a swimming pool measuring \( 90 \mathrm{m} \) by \( 40 \mathrm{m}, 150 \) men take a dip. If the average
displacement of water by a man is \( 8 m^{3} \) what will be the rise in water level?
A. \( 33.33 \mathrm{cm} \)
B. \( 30 \mathrm{cm} \)
c. \( 20 \mathrm{cm} \)
D. \( 25 \mathrm{cm} \)
| 2 |
Maths
|
Which compound is obtain on
hydrolysis of \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{\boldsymbol{6}} \) ?
A. \( X e O_{3} \)
в. \( X e O_{2} F_{2} \)
c. \( X e O F_{3} \)
D. \( X e O_{3} F \)
| 1 |
Chemistry
|
Which congruence criterion do you use
in the following?
Given: \( \angle \mathrm{MLN}=\angle \mathrm{FGH}, \angle \mathrm{NML}=\angle \mathrm{HFG}, \mathrm{ML} \)
= FG. So \( \Delta \) LMN \( \equiv \Delta G F H \)
| 2 |
Maths
|
Motion of a bus moving on a crowded road is an example of
A. uniform motion
B. non-uniform motion
c. either uniform or non-uniform motion
D. neither uniform nor non-uniform motion
| 3 |
Physics
|
Imagine a planet with an atmosphere
that contains \( O_{2} \) and \( S O_{2} \) but no \( C O_{2} \)
The chemical composition of the minerals you would expect to find the
alkaline earth metals on such a planet
is/ are:
This question has multiple correct options
A \( . M S O_{4} \)
в. \( M_{2} S O_{3} \)
c. \( M S O_{3} \)
D. \( M_{2} S O_{4} \)
| 1 |
Chemistry
|
The value of \( x \) for which
\( \sin \left(\cot ^{-1}(1+x)\right)=\cos \left(\tan ^{-1} x\right) \) is
\( A \cdot \frac{1}{2} \)
B.
\( c \)
D. \( -\frac{1}{2} \)
| 2 |
Maths
|
Absolute zero (OK) is that temperature
at which
A. Matter ceases to exit
B. Ice melts and water freezes
c. volume and pressure of a gas become zero
D. None of the above
| 3 |
Physics
|
What are nucleic acids?
| 1 |
Chemistry
|
Enough \( N a_{2} S O_{4} \) is dissolved in water
at \( 40^{\circ} C \) to saturated the solution. When
this occurs heat is given off. All of the following statements are true EXCEPT:
A. The enthalpy change of this process is negative
B. The boiling point of the solution is higher than that of pure water
C. The freezing point of the solution is lower than that of pure water
D. If the temperature of the water is lowered, then the solubility of \( N a_{2} S O_{4} \) decreases
| 1 |
Chemistry
|
Two masses \( m_{1} \) and \( m_{2} \) are connected
by a spring of spring constant k and are placed on a smooth horizontal surface. Initially the spring is stretched through a distance 'd' when the system is
released from rest. Find the distance
moved by the two masses when spring is compressed by a distance 'd'.
| 3 |
Physics
|
In Figure, identify the following vectors.
(i) Coinitial
(ii) Equa
(iii) Collinear but not equal
| 2 |
Maths
|
Find the maximum possible number of
hydrogen bonds in which \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
molecule can participate.
| 1 |
Chemistry
|
Check the validity of the following
statement:
\( \boldsymbol{p}: \boldsymbol{6} \boldsymbol{0} \) is a multiple of \( \boldsymbol{3} \) and \( \boldsymbol{5} \)
A. True
B. False
| 2 |
Maths
|
When six fair coins are tossed
simultaneously, in how many of the outcomes will at most three of the coins
turn up as heads?
A . 25
B. 41
\( c \cdot 22 \)
D. 42
| 2 |
Maths
|
If
[.] denotes the greatest integer function, then find the value of \( \lim _{n \rightarrow \infty} \frac{[x]+[2 x]+\ldots \ldots \ldots . .+[n x]}{n^{2}} \)
| 2 |
Maths
|
If \( \boldsymbol{y}=\tan ^{2}\left(\log \boldsymbol{x}^{3}\right), \) find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
| 2 |
Maths
|
A \( 1.5 \mu F \) capacitor is charged of \( 60 V \) The charging battery is then disconnected and a \( 15 \mathrm{mH} \) coil is
connected in series with the capacitor so that LC oscillations occurs. Assuming that the circuit contains no
resistance. The maximum current in
this coil shall be close to
A . 1.4 A
B. \( 1.2 A \)
\( c .0 .8 A \)
D. 0.6 A
| 3 |
Physics
|
The number of values of \( k \) for which the
system of equations \( (k+2) x+10 y=k \)
\( \boldsymbol{k} \boldsymbol{x}+(\boldsymbol{k}+\boldsymbol{3}) \boldsymbol{y}=\boldsymbol{k}-\mathbf{1} \)
has infinitely many solutions, is?
\( \mathbf{A} \cdot \mathbf{0} \)
B. 1
c. 2
D. infinite
| 2 |
Maths
|
When a hydrogen atom is in its first
excited level, its radius is
A. four times its ground state radius
B. twice times its ground state radius
c. same times its ground state radius
D. half times its ground state radius
| 3 |
Physics
|
The coefficient of \( x^{18} \) in the expansion of
\( (1+x)(1-x)^{10}\left\{\left(1+x+x^{2}\right)^{9}\right\} \) is?
\( \mathbf{A} \cdot 84 \)
в. 126
\( c \cdot-42 \)
D. 42
| 2 |
Maths
|
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