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(A) In tangent galvanometer the circular frame is rotated until the plane of the coil is parallel to magnetic meridian
(B) In tangent galvanometer current through it is related to deflection of needle as
A. A is true, B is false
B. A is false, B is true
c. A \& B are true
D. A \& B are false
| 3 |
Physics
|
\( \boldsymbol{K}_{\boldsymbol{p}}=\mathbf{0 . 0 4} \) at \( \boldsymbol{m} \) at \( \boldsymbol{8} 99 \) K for the
equilibrium shown below. What is the equilibrium concentration of \( C_{2} H_{6} \) when it is placed in a flask at 4.0 atm pressure and allowed to come to
equilibrium?
\( \boldsymbol{C}_{2} \boldsymbol{H}_{6}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{C}_{2} \boldsymbol{H}_{4}(\boldsymbol{g})+\boldsymbol{H}_{2}(\boldsymbol{g}) \)
| 1 |
Chemistry
|
Which of the following statement is
true?
A. Diethyl ether is almost as soluble in water as n-butyl alcohol
B. Diethyl ether is more soluble in water than n-butyl alcohol.
C. Diethyl ether is less soluble in water than n-butyl alcohol.
D. Diethyl ether is sparingly soluble in water whereas \( n \) butyl alcohol is highly soluble in water.
| 1 |
Chemistry
|
Write the consequences of lanthanide
contraction?
| 1 |
Chemistry
|
A body accelerates uniformly from rest to a velocity of \( 1 \mathrm{m} s^{-1} \) in 15 second. In
what time the kinetic energy of the body will be \( \frac{2}{9} J .[\text { Take mass of body as } 1 \mathrm{kg}] \)
A. 4 s
B. 8s
\( c \cdot 10 s \)
D. 12s
| 3 |
Physics
|
Which of the following is not correct for haloalkanes?
A. Density is directly proportional to the mass of compound
B. Haloalkanes are slightly soluble in water
c. Boiling Point depends upon the intermolecular forces of attraction
D. None of these
| 1 |
Chemistry
|
If heat is supplied to the system it
A. does work only
B. increase the internal energy
C. either does work or increase the internal energy or
both
D. does nothing
| 3 |
Physics
|
Assertion
Borax bead test is applicable only to coloured salts.
Reason
In borax bead test, coloured salts are
decomposed to give coloured metal
metaborates.
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
|
A hot body, obeying Newton's law of cooling is cooled down from its peak
value \( 80^{\circ} C \) to an ambient temperature of \( 30^{\circ} C . \) It takes 5 minutes in cooling
down from \( 80^{\circ} \mathrm{C} \) to \( 40^{\circ} \mathrm{C} \). How much
time will it take to cool down from
\( 62^{\circ} \mathrm{C} \) to \( 32^{\circ} \mathrm{C} ? \)
(Given \( \ln 2=0.693, \ln 5=1.609) \)
A. 9.6 minutes
B. 3.75 minutes
c. 8.6 minutes
D. 6.5 minutes
| 3 |
Physics
|
A group of 100 candidates have their
average height \( 163.8 \mathrm{cm} \) with coefficient of variation \( 3.2 . \) What is the
standard deviation of their heights?
A . 5.24
в. 2.24
\( c .7 .24 \)
D. None of these
| 2 |
Maths
|
In the following, one of the six trigonometric ratios is given. Find the
values of the other trigonometric ratios. \( \sin \theta=\frac{\sqrt{3}}{2} \)
| 2 |
Maths
|
Prove that, if \( a, b, c \) and \( d \) be positive rationals such that, \( a+\sqrt{b}=c+\sqrt{d} \)
then either \( a=c \) and \( b=d \) or \( b \) and \( d \)
are squares of rationals.
| 2 |
Maths
|
Meena draws magnetic field lines of field close to the axis of a current
carrying circular loop. As she moves away from the centre of the circular loop she observes that the lines keep on diverging. How will you explain her observation:
| 3 |
Physics
|
\( " L i_{2} C O_{3} \) and \( N a_{2} C O_{3} \) are
thermally stable." Answer whether the above statement is
true or false.
If true enter 1 , else enter 0 .
| 1 |
Chemistry
|
Which one of the following is not the vector quantity?
A . Torque
B. Displacement
c. velocity
D. None of the above
| 3 |
Physics
|
Assuming the speed of sound in air equal to \( 340 m s^{-1} \) and in water equal to
\( 1360 m s^{-1}, \) find the time taken to trave
a distance \( 1700 \mathrm{m} \) by sound in water
A . \( 0.8 s \)
B. \( 1 s \)
c. \( 1.5 s \)
D. \( 1.25 s \)
| 3 |
Physics
|
Two soap bubbles of radii \( r_{1} \) and
\( r_{2}\left(r_{a}>r_{2}\right) \) are connected by a tube
Then.
A . Air flows from the bubble of radius \( r_{1} \) to the bubble of
radius \( r_{2} \) till their size become equal
B. Air flows from the bubble of radius \( r_{1} \) to the bubble of
radius \( r_{2} \) till their sizes are interchanged
c. Air flows from smaller bubble to the bigger
D. There is no flow of air
| 3 |
Physics
|
The reaction, \( \boldsymbol{X} \longrightarrow \boldsymbol{Y}(\text { Product }) \)
follows first order kinetics. In 40
minutes, the concentration of \( \boldsymbol{X} \)
changes from \( 0.1 ~ M \) to \( 0.025 M \), then
the rate of reaction when concentration
of \( \boldsymbol{X} \) is \( \mathbf{0 . 0 1} \boldsymbol{M} \) is:
A \( \cdot 1.73 \times 10^{-4} \mathrm{M} / \mathrm{min} \)
B . 3.47 \( \times 10^{-5} \mathrm{M} / \mathrm{min} \)
c. \( 3.47 \times 10^{-4} \mathrm{M} / \mathrm{min} \)
D. \( 1.73 \times 10^{-5} \mathrm{M} / \mathrm{min} \)
| 1 |
Chemistry
|
Equimolal solutions \( A \) and \( B \) show depression in freezing point in the ratio
2:1. A remains in the normal state in
solution B will be :
A. Normal in solution
B. Dissociated in solution
C. Associated in solution
D. Hydrolysed in solution
| 1 |
Chemistry
|
A Proton and an / alpha particle are
accelerated through a potential difference of \( 100 \mathrm{V} \). The ratio of the
wavelength associated with the proton to that associated with an / alpha
particle is
A .1: 2
B . 2: 1
\( \mathbf{c} \cdot 22: 1 \)
D. \( 2 \sqrt{2}: 1 \)
| 3 |
Physics
|
In order to decompose 9 grams of water
\( 142.5 K J \) heat is required. Hence the enthalpy of formation of water is:
A \( .+142.5 \mathrm{KJ} \)
B . -142.5 KJ
c. +285 KJ
D . -285 KJ
| 1 |
Chemistry
|
n fig, \( O \) is the centre of a circle \( A B= \)
\( \mathbf{1 6} \mathrm{cm}, \boldsymbol{C D}=\mathbf{1 4} \mathrm{cm}, \operatorname{seg} \boldsymbol{O} \boldsymbol{M} \perp \mathbf{s e g} \)
\( A B, \operatorname{seg} O N \perp \operatorname{seg} C D . \) If \( O M=6 \mathrm{cm} \)
then length of \( \operatorname{seg} O N \) is \( \sqrt{m} \mathrm{cm} . \) So, \( m \)
is
A \( . m=149 c m^{2} \)
В \( \cdot m=51 c m^{2} \)
\( \mathrm{c} \cdot m=51 \mathrm{cm} \)
D. \( m=149 \mathrm{cm} \)
| 2 |
Maths
|
Find the product of the following pair of monomial.
\( 4 p^{3},-3 p \)
| 2 |
Maths
|
The velocity of the liquid coming out of a small hole of a vessel containing two
different liquid of densities \( 2 \rho \) and \( \rho \)
shown in the figure is
A \( \cdot \sqrt{6 g h} \)
B. \( 2 \sqrt{g h} \)
\( c \cdot 2 \sqrt{2 g h} \)
\( D \cdot \sqrt{g h} \)
| 3 |
Physics
|
Two particles are in SHM along same line. Time period of each is \( T \) and
amplitude is \( A . \) After how much time
will they collide if at time \( t=0 . \) First particle is at \( x_{1}=+\frac{A}{2} \) and moving
towards positive \( x- \) axis and second particle is at \( x_{2}=-\frac{A}{\sqrt{2}} \) and moving
towards negative \( x- \) axis.
A \( \cdot \frac{18}{19} T \)
в. \( \frac{19}{48} \mathrm{T} \)
c. \( \frac{48}{19} T \)
D. \( \frac{19}{18} \mathrm{T} \)
| 3 |
Physics
|
Which is a better mode of reproduction sexual or asexual? Why?
| 0 |
Biology
|
Find the edge of a cube whose volume is
216 cubic centimetres.
| 2 |
Maths
|
Tyloses are
A. Tracheal plugs which plugs with the lumen of the vessels and tracheids
B. Compound sieve plates
c. specialized secretory cells
D. Laticiferous channels
| 0 |
Biology
|
For the pivoted slender rod of length \( l \) as
shown in figure., find the angular
velocity as the bar reaches the vertical
position after being released in the
horizontal position
| 3 |
Physics
|
Area common to the curves \( y^{2}=a x \)
and \( x^{2}+y^{2}=4 a x \) is equal to
A \( \cdot(9 \sqrt{3}+4 \pi) \frac{a^{2}}{3} \)
B . \( (9 \sqrt{3}+4 \pi) a^{2} \)
c. \( (9 \sqrt{3}-4 \pi) \frac{a^{2}}{3} \)
D. None of these
| 2 |
Maths
|
Both light and sound waves produce
diffraction. It is more difficult to observe
the diffraction with light waves
because:
A. light wave do not require medium
B. wavelength of light waves is far smaller
c. light waves are transverse
D. speed of light is far greater
| 3 |
Physics
|
Study the following graph and fill in the
blanks.
\( A \)
Liquid Gas Freezing point Melting point
B. Boiling Melting Boiling point Melting point
\( c \)
usion Vaporisation Melting point Boiling poin
D.
vap
| 1 |
Chemistry
|
A body falls freely under effect of gravity The ratio of distance covered by the
body in 1,2,3 seconds respectively is :
A. 1: 3: 5
5
B. 1: 2: 3
c. 1: 4: 9
D. None of above
| 3 |
Physics
|
Two resistors of resistances \( \boldsymbol{R}_{1}= \)
\( 100 \pm 3 o h m \) and \( R_{1}=200 \pm 4 o h m \) are
connected (a) in series, (b) in parallel. Find the equivalent resistance of the
(a) series combination,
(b) parellel
combination. Use for \( (a) \) the relation
\( \boldsymbol{R}=\boldsymbol{R}_{1}+\boldsymbol{R}_{2} \) and for \( (\boldsymbol{b}) \)
\( \frac{1}{R^{\prime}}=\frac{1}{R_{1}}+\frac{1}{R_{2}} \) and \( \frac{\triangle R^{\prime}}{R^{\prime 2}}=\frac{\triangle R_{1}}{R_{1}^{2}}+ \)
\( \frac{\triangle \boldsymbol{R}_{2}}{\boldsymbol{R}_{2}^{2}} \)
| 3 |
Physics
|
How does pruning help in making the hedge dense?
A. The apical shoots grows faster after pruning.
B. It releases wound hormones.
c. It induces the differentiation of new shoots from the rootstock
D. It frees axillary buds from apical dominance.
| 0 |
Biology
|
Figure shows plane waves refracted
from air to water using Huygen's principle \( a, b, c, d, e \) are lengths on the diagram. Find the ratio of refractive
index of water w.r.t. air.
| 3 |
Physics
|
The process in which metal surface is made inactive is called:
A. passivation
B. galvanising
c. corrosion
D. pickling
| 1 |
Chemistry
|
Arrange the following in order of property indicated for each set:
a. \( F_{2}, C l_{2}, B r_{2}, I_{2} \) -increasing bond dissociation enthalpy.
b. \( H F, H C l, H B r, H I- \) increasing
acid strength.
c. \( N H_{3}, P H_{3}, A s H_{3}, S b H_{3}, B i H_{3} \)
increasing base strength.
| 1 |
Chemistry
|
A car is moving with a speed of 40 \( \mathrm{Km} / \mathrm{hr} . \) If the car engine generates 7 kilowatt power, then the resistance in the path of motion of the car will be- -
A. \( 360 N \)
B. \( 630 N \)
c. zero
D. \( 280 N \)
| 3 |
Physics
|
\( \lim _{x \rightarrow 0^{+}} \frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x^{2}}-\sqrt{1-x^{2}}} \) equals to
A. 1
B. \( \frac{1}{2} \)
\( c \cdot \infty \)
\( D \)
| 2 |
Maths
|
The compound (A) is:
\( A \)
в.
c.
D. Both (a) and (b)
| 1 |
Chemistry
|
A sphere of mass \( 40 \mathrm{kg} \) is attracted by a
second sphere of mass \( 15 \mathrm{kg} \), when their
centres are \( 20 \mathrm{cm} \) apart, with a force of
0.1 milligram weight. Calculate the value of gravitational constant.
\( \mathbf{A} \cdot=8.53 \times 10^{-11} N m^{2} k g^{-2} \)
B. \( =6.53 \times 10^{-11} \mathrm{Nm}^{2} \mathrm{kg}^{-2} \)
\( \mathbf{c} .=7.53 \times 10^{-11} \mathrm{Nm}^{2} \mathrm{kg}^{-2} \)
D. \( =9 \times 10^{-11} N m^{2} k g^{-2} \)
| 3 |
Physics
|
When the distance between the object and the plane mirror increases:
A. The image remains same
B. The size of the image will become less than the size of the object
c. The distance between the image and the plane mirror increases
D. The distance between the image and the plane mirror decreases
| 3 |
Physics
|
Consider a real valued function \( \boldsymbol{f} \) \( \boldsymbol{R} \rightarrow \boldsymbol{R} \) satisfying \( \boldsymbol{f}\left(\frac{\boldsymbol{2} \boldsymbol{x}+\boldsymbol{3} \boldsymbol{y}}{\mathbf{5}}\right)= \)
\( \frac{2 f(x)+3 f(y)}{5} \forall x, y \in R \quad \) and \( f(0)= \)
\( \mathbf{2} ; \boldsymbol{f}^{\prime}(\mathbf{0})=\mathbf{1} \)
Minimum distance of a point on graph
of \( \boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}) \) from origin is less than or
equal to
A. \( \sqrt{2} \) units
B. \( \frac{1}{2} \) units
c. \( \frac{1}{\sqrt{5}} \) units
D. \( \frac{1}{\sqrt{7}} \) units
| 2 |
Maths
|
Gibbs- Helmholtz equation is
A \( . \Delta G=\Delta H-T \Delta S \)
в. \( \Delta G=\Delta H+T \Delta S \)
c. \( \Delta G=T \Delta H-\Delta S \)
D. none of these
| 1 |
Chemistry
|
The numbers \( a, b \) and \( c \) are between 2
and 18 such that
(i) their sum is 25
\( (i i) \) the numbers \( 2, a, b \) are in A.P
\( (i i i) \) the numbers \( b, c, 18 \) are consecutive terms of a G.P.
If \( a, b, c \) are the roots of \( x^{3}+q x^{2}+ \)
\( r x+s=0 \) then the value of \( ^{\prime} r^{\prime} \) is
A. 184
в. 196
c. 220
D. 224
| 2 |
Maths
|
The D.E of the family of circles which
touch the \( y \) -axis at the origin is:
A \( y_{1}=\frac{x^{2}-y^{2}}{x y} \)
B. \( y_{1}=\frac{x^{2}-y^{2}}{2 x y} \)
C \( y_{1}=\frac{y^{2}-x^{2}}{2 x y} \)
D. \( y_{1}-\left(y^{2}-x^{2}\right)+x y=0 \)
| 2 |
Maths
|
The average value of output direct current in a full wave rectifier is
A \( \cdot I_{0} / \pi \)
в. \( I_{0} / 2 \)
c. \( \pi I_{0} / 2 \)
D. \( 2 I_{0} / \pi \)
| 3 |
Physics
|
In an electro chemical process, a salt
bridge is used
a) to maintain electro neutrality in each solution.
b) to complete the circuit so that current
can flow
c) as an oxidising agent
d) as a colour indicator
A. only a is correct
B. a and b are correct
c. a, b and care correct
D. all are incorrect
| 1 |
Chemistry
|
f the line \( \left(\frac{x}{2}+\frac{y}{3}-1\right)+\lambda(2 x+y- \)
1) \( =0 \) is parallel to \( x \) -axis then \( \lambda= \)
\( A \cdot-\frac{1}{2} \)
B. \( \frac{1}{2} \)
\( c \cdot-\frac{1}{4} \)
D.
| 2 |
Maths
|
If \( x^{2}-b x+c=0 \) has equal integral
roots, then
This question has multiple correct options
A. \( b \) and \( c \) are integers
B. \( b \) and \( c \) are even integers
\( \mathrm{c} . b \) is an even integer and \( c \) is a perfect square of an integer
D. none of these
| 2 |
Maths
|
What is the name of the above reaction?
A. Williamson's synthesis
B. Gatterman-Koch process
c. Etard reaction
D. Hoffmann elimination reaction
| 1 |
Chemistry
|
Between 1 and \( 31, m \) arithmetic means
are inserted, so that the ratio of the \( 7^{t h} \)
and \( (m-1)^{t h} \) mean is \( 5: 9 . \) Then the
value of \( m \) is
A . 12
B. 13
c. 14
D. 15
| 2 |
Maths
|
State whether true or false.
A coin moving over a carrom board exhibits rectilinear motion.
A. True
B. False
| 3 |
Physics
|
Armoured cell wall and biflagellated cells are characteristic of
A. Bascillariophyta
B. Pyrrophyta
c. Euglenophyta
D. cyanophyta
| 0 |
Biology
|
Which of the following compounds can exist in enantiomeric forms?
A. 3-methyl butanoic acid
B. Cis-2-butene
c. Isopropyl amine
D. 1-methyl butanamine
| 1 |
Chemistry
|
A particle \( P \) is a moving in a circle of radius e with a uniform speed \( v . C \) is
the centre of the circle, and \( A B \) is a
diameter, If \( P \) is at \( B \), the angular
velocities of \( \boldsymbol{P} \) about \( \boldsymbol{A} \) and \( \boldsymbol{C} \) are in the
ratio
A . 1: 1
B . 2: 1
c. 1: 2
D. 4: 1
| 3 |
Physics
|
Which is not true about \( \boldsymbol{S} \boldsymbol{i} \boldsymbol{O}_{2} \)
A. It is a network solid
B. It is attacked by molten NaOH
c. It is attacked by HF
D. It is the basic structural unit of silicates
| 1 |
Chemistry
|
The equation \( 3 x^{2}-2 x y+y^{2}=0 \)
represents:
A . a circle
B. hyperbola
c. a pair of lines
D. none of these
| 2 |
Maths
|
f \( \tan ^{-1}\left(\frac{x-1}{x-2}\right)+\tan ^{-1}\left(\frac{x+1}{x+2}\right)= \)
find the value of \( x \)
\( \overline{\mathbf{4}} \)
| 2 |
Maths
|
\( \int(3 x-2) \sqrt{x^{2}+x+1} d x= \)
| 2 |
Maths
|
The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is
\( \mathbf{A} \cdot 96 \)
в. 144
\( c \cdot 512 \)
D. 576
| 2 |
Maths
|
Which liquid is found on the feather of birds and animal fur?
| 1 |
Chemistry
|
The distance travelled by particle from
\( \boldsymbol{t}=\mathbf{0} \) to \( \boldsymbol{t}=\mathbf{2} \) seconds is:
\( \mathbf{A} \cdot 2 m \)
B. \( 3 m \)
c. \( 4 m \)
D. \( 6 m \)
| 3 |
Physics
|
A particle of mass M is moving in a
horizontal circle of radius R with
uniform speed \( V \). when it moves from one point to a diametrically opposite point, its
A. kinetic energy changes by \( M V^{2} / 4 \)
B. momentum does not change
c. momentum changes by 2 MV
D. kinetic energy changes by \( M V^{2} \)
| 3 |
Physics
|
The maximum number of structural
isomers possible for the hydrocarbon
having the molecular formula \( C_{4} H_{6} \) is:
A \( \cdot 12 \)
B. 3
\( c \cdot 9 \)
D. 5
| 1 |
Chemistry
|
What is the hybridization of the chlorine
\( \operatorname{atom} \operatorname{in} C l F_{3} \) molecule?
| 1 |
Chemistry
|
If \( \boldsymbol{A}(\overrightarrow{\boldsymbol{a}}), \boldsymbol{B}(\overrightarrow{\boldsymbol{b}}), \boldsymbol{C}(\overrightarrow{\boldsymbol{c}}) \) be the vertices
of a triangle whose circumcentre is the origin, then orthocenter is given by
\( \frac{\vec{a}+\vec{b}+\vec{c}}{3} \)
\( ^{\mathrm{B}} \frac{\vec{a}+\vec{b}+\vec{c}}{2} \)
c. \( \vec{a}+\vec{b}+\vec{c} \)
D. None of these
| 2 |
Maths
|
For a cube and a sphere made of same material, what should be the ratio of the
side of the cube to the radius of the
sphere such that both of them have the
same thermal capacity?
A \( \cdot \sqrt[3]{\frac{4}{3} \pi} \)
B. \( \sqrt[3]{\frac{5}{3} \pi} \)
c. \( \sqrt[3]{\frac{3}{4} \pi} \)
D. \( \sqrt[3]{\frac{2}{3} \pi} \)
| 3 |
Physics
|
Heat of combustion of \( \boldsymbol{C} \boldsymbol{H}_{\boldsymbol{4}(\boldsymbol{g})} \) at
constant volume is measured in bomb
calorie-meter at \( 298.2 \mathrm{K} \) and found to be
885389 find the valve of enthalpy.
\( N_{2(g)}+3 H_{2(g)} \rightarrow 2 N H_{3(g)} \)
| 1 |
Chemistry
|
A hydrocarbon with molecular formula
would give a single \( C_{9} H_{11}, S O_{3} H \)
product on sulphonation?
\( A \)
B.
\( c \)
\( D \)
| 1 |
Chemistry
|
When an ideal capacitor is charged by dc battery, no current flows, However, When an ac source is used, the current
flows continuously. How does one explain this, based on the concept of displacement current?
| 3 |
Physics
|
A body projected vertically up with a velocity 'u' attains a maximum height
H. If it is thrown up with velocity \( 2 u, \) it attains a maximum height of
A . २
B. H/2
c. \( 4 \mathrm{H} \)
D. H/4
| 3 |
Physics
|
f the length of the chord \( Y Z \) is equal to
the radius of the circle \( O Y \), find \( \angle Y X Z \)
A \( \cdot 60^{\circ} \)
B. \( 30^{\circ} \)
\( c \cdot 80^{\circ} \)
D. 100
| 2 |
Maths
|
Angle of dip \( \delta \) and latitude \( \lambda \), on earth's
surface are related as
\( \mathbf{A} \cdot \tan \delta=2 \tan \lambda \)
B. \( \tan \delta=\cot \lambda \)
\( \mathbf{C} \cdot \tan \delta=\frac{\tan \lambda}{2} \)
D. \( \tan \delta=\tan \lambda \)
| 3 |
Physics
|
Pyruvic acid is a product of
A . Acety
B. CoA
c. starch
D. Glucose
| 0 |
Biology
|
A proton is projected with a speed of
\( 3 \times 10^{6} m / s \) horizontally from east to
west. A uniform magnetic field B of strength \( 2 \times 10^{-3} T \) exists in the
vertically upward direction the magnitude of magnetic force on proton is \( \boldsymbol{F} \times \mathbf{1 0}^{-16} \boldsymbol{N} \). What is the value of \( \boldsymbol{F} \) ?
| 3 |
Physics
|
The characters related to ascomycetes
are
A. Septate branched mycelium
B. Mitospores produced exogenously in chains
C. \( 4-8 \) ascospores inside a sac like ascus
D. All of the above
| 0 |
Biology
|
\( M e_{3} C-\stackrel{V}{C}-M e \frac{[O]}{\Delta} \)
Find out the major product of the reaction.
| 1 |
Chemistry
|
Statement-1: In clarks process excess
of lime is not added to water sample to
remove temporary hardness. Statement-2: Addition of excess of milk
of lime causes permanent hardness.
A. Statement-1 is true, Statement-2 is true; Statementis a correct explanation for Statement-
B. Statement-1 is true, Statement-2 is true; Statement- is not a correct explanation for Statement-
c. Statement- 1 is true, Statement- 2 is false.
D. Statement-1 is false, Statement-2 is true
| 1 |
Chemistry
|
18 g glucose \( \left(C_{6} H_{12} O_{6}\right) \) is added to
\( 178.2 \mathrm{g} \) of water. The vapour pressure of this aqueous solution at \( 100^{0} C \) in torr
is:
A . 7.60
B. 76.00
c. 752.40
D. 759.00
| 1 |
Chemistry
|
Once you toss a coin, you will get the result as head or tail. Doing this action is called an
A . space
B. sample
c. experiment
D. event
| 2 |
Maths
|
If \( a, b \) and \( c \) are three non-zero vectors
such that \( a \cdot|b \times c|=0 \) and \( b \) and \( c \) are
not parallel then \( a, b \) and \( c \) are
A. Collinear
B. Coplanar
c. May be both
D. None
| 3 |
Physics
|
The common raw material used in the
preparation of soap and detergent is:
A. sulphuric acid
B. sodium hydroxide
c. stearic acid
D. long chain hydrocarbons
| 1 |
Chemistry
|
State which of the following are equation (with a variable) given reason and tell your answer. identify the variable from the equation with a variable.
\( \frac{3 q}{2}<5 \)
| 2 |
Maths
|
\( 1^{2}, 5^{2}, 7^{2}, 73 \dots \dots \dots \) is it an AP? If yes, then
what is it's common difference?
A. No
B. Yes, \( d=15 \)
c. Yes, \( d=24 \)
D. Yes, \( d=25 \)
| 2 |
Maths
|
Construct \( \triangle A B C \) such that \( A B= \)
\( \mathbf{2 . 5} \mathbf{c m}, \boldsymbol{B C}=\mathbf{6} \boldsymbol{c m} \) and \( \boldsymbol{A} \boldsymbol{C}=\mathbf{6 . 5} \boldsymbol{c m} \)
Measure \( \angle B \)
| 2 |
Maths
|
The stress-strain plot for wires made of two materials (I and II) is presented
schematically in the accompanying
figure. The points \( C_{I} \) and \( C_{I I} \) represent
fracture points of the two materials
and II respectively. It can be concluded
from these graphs that
A. material I has Young's modulus larger than that of materia
B. the linear region of material I extends to a larger valu of stress than that of material II
c. both materials I and II are equally brittle
D. material l is more ductile than materia
| 3 |
Physics
|
The correct electronic configuration of
neutral \( C a \) and \( O \) are respectively:
\( \mathbf{A} \cdot C a:[A r] 4 s^{2} \)
\( O:[H e] 2 s^{2} 2 p^{4} \)
B . \( C a:[A r] 3 s^{2} \)
\( O:[H e] 2 s^{2} 2 p^{5} \)
\( \mathbf{c} \cdot \operatorname{Ca}:[A r] 4 s^{2} \)
\( O:[H e] 2 s^{2} 2 p^{6} \)
\( \mathbf{D} \cdot \operatorname{Ca}:[A r] 4 s^{2} \)
\( O:[H e] 2 s^{2} 2 p^{2} \)
| 1 |
Chemistry
|
\( 4 H_{3} P O_{3} \longrightarrow 3 H_{3} P O_{4}+P H_{3} \)
Equivalent weight of \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) is \( ( \) as nearest integer)
| 1 |
Chemistry
|
An inductance of negligible resistance whose reactance is \( 22 \Omega \) at \( 200 H z \) is
connected to 200 volt. If the line
frequency is known to be 50 cycles/second, the equation for the line voltage is :
A. 0.0175 Henry
B. 0.175 Henry
c. 1.75 Henry
D. 17.5 Henry
| 3 |
Physics
|
Which one of the following is a geometric progression?
A. 3,5,9,11,15
в. 4,-4,4,-4,4
c. 12,24,36,48
D. 6,12,24,36
| 2 |
Maths
|
Boiling point of water at normal atmospheric pressure is
\( \mathbf{A} \cdot 0^{\circ} C \)
B . \( 100^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 110^{\circ} \mathrm{C} \)
D. \( -5^{\circ} C \)
| 3 |
Physics
|
Two magnetic dipoles are lying as
shown in figure. the separation ' \( d \)
between them is very large. A point
charge \( Q \) is projected with some speed \( v \) as shown. The force experienced by
the charged particle is:
A . 0
B. \( \frac{4 \sqrt{2} \mu_{0} M Q v}{\pi d^{3}} \)
c. \( \frac{\sqrt{2} \mu_{0} M Q v}{\pi d^{3}} \)
D. \( \frac{2 \sqrt{2} \mu_{0} M Q v}{\pi d^{3}} \)
| 3 |
Physics
|
In the figure, seg \( P S \) intersects \( \operatorname{seg} T K \)
in the point \( R . \angle T \) and \( \angle K \) are right
angles. State whether \( \triangle P T R \) and
\( \triangle S K R \) are similar. If yes, by which
test?
| 2 |
Maths
|
Assertion
Density \( = \) specific gravity \( \times 0.99823 \) at
\( \mathbf{2 0}^{\circ} \boldsymbol{C} \)
Reason
Density \( = \) specific gravity at \( 4^{\circ} C \)
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
|
At constant temperature, the pressure of a fixed amount of gas is inversely proportional with its volume. This law is popularly known as:
A. Charle's law
B. Boyle's law
c. Gay Lussac's law
D. Avogadro's law
| 1 |
Chemistry
|
Given that, \( y=\sin x\left(x^{2}\right) e^{x} \), find \( y^{\prime} \) at
\( \boldsymbol{x}=\mathbf{0} \)
| 2 |
Maths
|
toppr
Q Type your question
time period is proportional to \( \sqrt{\frac{\boldsymbol{m}}{\boldsymbol{k}}}, \) as can be seen easily using dimensional analysis. However, the motion of a
particle can be periodic even when its
potential energy increases on both
sides of \( x=0 \) in a way different from
\( k x^{2} \) and its total energy is such that the
particle does not escape to infinity.
Consider a particle of mass m moving
on the \( x \) -axis. Its potential energy is
\( V(x)=\alpha x^{4}(\alpha>0) \) for \( |x| \) near the
origin and becomes a constant equal to
\( V_{0} \) for \( |x| \geq X_{0}(\text { see figure }) \)
The acceleration of this particle for
\( |\boldsymbol{x}|>\boldsymbol{X}_{0} \) is?
A. Proportional to \( V_{0} \)
B. Proportional to \( \frac{V_{0}}{m X_{0}} \)
C. Proportional to \( \sqrt{\frac{V_{0}}{m X_{0}}} \)
D. Zero
| 3 |
Physics
|
The value of \( \cos ^{-1}\left(-\frac{1}{2}\right)+ \)
\( \sin ^{-1}\left(-\frac{\sqrt{\mathbf{3}}}{\mathbf{2}}\right) \) is
\( A \cdot \frac{\pi}{3} \)
B.
c. \( \frac{2 \pi}{3} \)
D. none of these
| 2 |
Maths
|
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