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The number of significant figures in
3400 is :
A . 4
B.
\( c \cdot 3 \)
\( D \)
| 3 |
Physics
|
Soid PCI \( _{5} \) exists as ?
| 1 |
Chemistry
|
\( \frac{1}{(216)^{\frac{-2}{3}}}+\frac{1}{(256)^{\frac{-3}{4}}}+\frac{1}{(243)^{\frac{-1}{5}}} \) is equal
to:
A. 103
в. 105
\( c .107 \)
D. 101
| 2 |
Maths
|
Solve for \( a, b \)
\( \boldsymbol{a}^{2}+\boldsymbol{b}^{2}-\mathbf{4} \boldsymbol{a}+\mathbf{1 6} \boldsymbol{b}+\mathbf{6 8}=\mathbf{0} \)
| 2 |
Maths
|
At a place, the horizontal and vertical components of earth's magnetic field are equal. What is the angle of dip at that place?
A . 45
B. 55
\( c \cdot 65 \)
D. 76
| 3 |
Physics
|
A thin prism of glass is placed in air and water successively. If \( \mu=\frac{3}{2} \) and \( \mu=\frac{4}{3} \)
then the ratio of deviations produced by the prism for a small angle of incidence when placed in air and water is
\( A \cdot 4: 1 \)
B. 3:4
\( c \cdot 1: \)
D. 9: 16
| 3 |
Physics
|
The image of a candle flame formed by a lens is obtained on a screen placed on
the other side of the lens. If the image is
three times the size of the flame and
the distance between lens and image is \( 80 \mathrm{cm}, \) at what distance should the candle be placed from the lens?
\( \mathbf{A} \cdot 50 \mathrm{cm} \)
B. \( -36.67 \mathrm{cm} \)
\( \mathbf{c} .-26.67 \mathrm{cm} \)
D. \( 80 \mathrm{cm} \)
| 3 |
Physics
|
The exact location of an electron can not
be determined in space.
A. Heisenberg Uncertainty principle
B. Pauli Exclusion Principle
c. schrodinger Wave Equation
D. Hunds Rule
E. Bohr model of the hydrogen atom
| 1 |
Chemistry
|
Given the first two terms of an infinitely decreasing geometric progression \( \sqrt{\mathbf{3}}, \frac{\mathbf{2}}{\sqrt{\mathbf{3}}+\mathbf{1}} \)
Find the common ratio and the sum of
the progression.
| 2 |
Maths
|
The bulk modulus of elasticity with increase in pressure
A. increases
B. decreases
c. remains constant
D. increases first up to certain limit and then decreases
| 3 |
Physics
|
How much \( C O_{2} \) can be carried by 100
\( \mathrm{ml} \) of blood?
A . 20 \( \mathrm{m} \)
B. 0.3 \( m \)
c. 3.7 \( m \)
D. \( 6.3 \mathrm{m} \)
| 0 |
Biology
|
Find the sum of the series.
\( \mathbf{1 1}^{\mathbf{3}}+\mathbf{1 2}^{\mathbf{3}}+\mathbf{1 3}^{\mathbf{3}}+\ldots+\mathbf{2 8}^{\mathbf{3}} \)
| 2 |
Maths
|
The vector \( \frac{1}{3}(2 \hat{i}-2 \hat{j}+\hat{k}) \) is
This question has multiple correct options
A. unit vector
B. Makes an angle \( \pi / 3 \) with vector \( 2 \hat{i}-4 \hat{j}+3 \hat{k} \)
C. parallel to the vector \( -\hat{i}+\hat{j}-(1 / 2) \hat{k} \)
D. perpendicular to the vector \( 3 \hat{i}+2 \hat{j}-2 \hat{k} \)
| 2 |
Maths
|
A geostationary satellite is at a height
above the surface of earth. If earth
radius is \( \mathrm{R} \)
A. The minimum colatitude on earth upto which the satellite can be used for communication is \( \sin ^{-1}(\mathrm{R} / \mathrm{R} \)
\( +h) \)
B. The maximum colatitudes on earth upon which the satellite can be used for communication is \( \sin ^{-1}(R / R+h) \)
c. The area on earth escaped from this satellite is given as \( 2 \pi R^{2}(1+\sin \theta) \)
D. The area on earth escaped from this satellite is given as \( 2 \pi R^{2}(1+\cos \theta) \)
| 3 |
Physics
|
You place \( 2.56 \mathrm{g} \) CaCO\( _{3} \) (calcium carbonate) in a beaker containing 250
\( \mathrm{mL} \) of \( 0.125 \mathrm{M} \) HCl. What mass of
\( \mathrm{CaCl}_{2} \) can be produced? (Answer in nearest integer)
\( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{s})+\boldsymbol{2} \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{a q}) \rightarrow \)
\( \boldsymbol{C a C l}_{2}(\boldsymbol{a q})+\boldsymbol{C O}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \)
| 1 |
Chemistry
|
If the vectors \( \vec{A}=2 \hat{i}+4 \hat{j} \) and \( \vec{B}= \) \( \mathbf{5} \hat{\mathbf{i}}-\boldsymbol{P} \hat{\boldsymbol{j}} \) are parallel to each other, the
magnitude of \( \vec{B} \) is:
A \( 5 \sqrt{5} \)
5
B. 10
c. 15
D. \( 2 \sqrt{5} \)
| 2 |
Maths
|
The molar mass of \( C a C O_{3} \) is :
\( \mathbf{A} \cdot 68 \mathrm{g} / \mathrm{mol} \)
B. \( 75 \mathrm{g} / \mathrm{mol} \)
c. 82 g/mol
D. \( 100 \mathrm{g} / \mathrm{mol} \)
E . \( 116 \mathrm{g} / \mathrm{mol} \)
| 1 |
Chemistry
|
If the line \( x=\alpha \) divides the area of
region \( \boldsymbol{R}= \)
\( \left\{(x, y) \in R^{2}: x^{3} \leq y \leq x, 0 \leq x \leq 1\right\} \)
into two equal parts, then This question has multiple correct options
A \( \cdot 2 \alpha^{4}-4 \alpha^{2}+1=0 \)
B. \( \alpha^{4}+4 \alpha^{2}-1=0 \)
c. \( _{0<\alpha \leq \frac{1}{2}} \)
D. \( \frac{1}{2}<\alpha<1 \)
| 2 |
Maths
|
A particle has potential energy dependent on its position on the \( x \) axis,
represented by the function \( U(x)= \)
\( e^{2 x}+1 \) for all real values of \( x \) where
\( U(x) \) and \( x \) are given in standard units.
The force it feels at position \( x=1 \) is
closest to
A. \( 7.39 N \)
B. \( 8.39 N \)
c. \( -8.39 N \)
D. \( 14.8 N \)
E. \( -14.8 N \)
| 3 |
Physics
|
\( \frac{\sin i}{\sin r}= \) constant. This is
A. Newton's law
B. Snell's law
c. Both
D. None
| 3 |
Physics
|
The incorrect statement is:
A. all the collisions between reactant molecules do not lead to a chemical change
B. a zero order reaction proceeds at a constant rate independent of concentration or time
C. fast reactions have low activation energies
D. in a first order reaction, the reaction ideally takes finite time to be completed
| 1 |
Chemistry
|
When an air bubble moves up from the
bottom of a lake
a) velocity decreases and becomes zero
b) acceleration increases and becomes
zero
c) velocity increases and becomes
constant
d) acceleration decreases and becomes
zero
\( A \cdot a, d \) are correct
B. a, b are correct
c. \( c, \) d are correct
D. c is correct
| 3 |
Physics
|
If the quotient obtained on dividing
\( x^{4}+10 x^{3}+35 x^{2}+50 x+29 \) by \( (x+ \)
4) is \( x^{3}-a x^{2}+b x+6 \) then find \( a \) and
b. Also find the remainder
| 2 |
Maths
|
\( (x, y) \) and \( (p, q) \) are two ordered pairs.
Find the values of \( x \) and \( p, \) if \( (3 x- \)
\( \mathbf{1}, \mathbf{9})=(\mathbf{1 1}, \boldsymbol{p}+\mathbf{2}) \)
A. \( x=4, p=9 \)
В. \( x=6, p=7 \)
c. \( x=4, p=5 \)
D. \( x=4, p=7 \)
| 2 |
Maths
|
Similarity between fish and tadpole is
A . Legs
B. Fins
c. Lateral line
D. Scales
| 0 |
Biology
|
Modern vacuum pumps can evacuate a
vessel down to a pressure of \( 4.0 \times \) \( 10^{-15} a t m . \) at room temperature (300
K). Taking \( \boldsymbol{R}= \)
\( 8.3 K J^{-1} \) mole \( ^{-1}, 1 a t m=10^{5} \) Pa and
\( N_{\text {Avogradro}}=6 \times 10^{23} \)mole\( ^{-1}, \) the mean
distance between molecules of gas in an evacuated vessel will be of the order
of
A. \( 0.2 \mu m \)
B. \( 0.2 \mathrm{mm} \)
c. \( 0.2 \mathrm{cm} \)
D. 0.2 nm
| 3 |
Physics
|
\( x=5, y=2 \) is a solution of the linear
equation
A \( .5 x+y=7 \)
в. \( 5 x+2 y=7 \)
c. \( x+y=7 \)
D. \( x+2 y=7 \)
| 2 |
Maths
|
If \( \boldsymbol{x} \cos \boldsymbol{\alpha}+\boldsymbol{y} \sin \boldsymbol{\alpha}=\boldsymbol{x} \cos \boldsymbol{\beta}+ \)
\( \boldsymbol{y} \sin \beta=2 a(0<\alpha, \beta \pi / 2), \) then
This question has multiple correct options
A \( \cdot \cos \alpha+\cos \beta=\frac{4 a x}{x^{2}+y^{2}} \)
B. \( \cos \alpha \cos \beta=\frac{4 a^{2}-y^{2}}{x^{2}+y^{2}} \)
c. \( \sin \alpha+\sin \beta=\frac{4 a y}{x^{2}+y^{2}} \)
D \( \sin \alpha \sin \beta=\frac{4 a^{2}-x^{2}}{x^{2}+y^{2}} \)
| 2 |
Maths
|
What is the sum of all 5 digit numbers which can be formed with digits 0,1,2
3, 4 without repetition
A. 2599980
B. 2679980
c. 2544980
D. 2609980
| 2 |
Maths
|
An organic compound containing \( - \) COOH functional group is called:
A. aldehyde
B. ketone
c. amide
D. carboxylic acid
| 1 |
Chemistry
|
Choose the correct answer from the
alternatives given. The amplitude of an electromagnetic wave in vaccum is doubled with no
other changes made to the wave. As a result of this doubling of the amplitude, which of the following statement is
correct?
A. The frequency of the wave changes only
B. The wave length of the wave changes only
c. The speed of the wave propagation changes only
D. None of the above is correct
| 3 |
Physics
|
For the equilibrium at \( 298 \mathrm{K} \) \( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) ; G_{N_{2}}^{\ominus}_{O_{4}}= \)
\( 100 k J m o l^{-1} \) and \( G_{N O_{2}}^{\ominus}=50 k J m o l^{-1} \)
If 5 mol of \( N_{2} O_{4} \) and 2 moles of \( N O_{2} \) are taken initially in one litre container
than which statement are correct
This question has multiple correct options
A. reaction proceeds in forward direction
B . \( K_{c}=1 \)
c. \( \Delta G=-0.55 k J, \Delta G^{\ominus}=0 \)
D. At equilibrium \( \left[N_{2} O_{4}\right]=4.84 M \) and \( \left[N O_{2}\right]=0.212 M \)
| 1 |
Chemistry
|
Identify the incorrect statement
A. The \( S-S-S \) bond angles in the \( S_{8} \) and \( S_{6} \) rings are
the same
B. Rhombic and monoclinic sulphur have \( S_{8} \) molecules
\( \mathrm{C} \cdot S_{2} \) is paramagnetic like oxygen
D. \( S_{8} \) ring has a crown shape
| 1 |
Chemistry
|
When the reactor shuts down why does
it require cooling?
A. To cool the reactor from chain reaction
B. To cool the reactor from fission reaction
c. Both (1) and (2)
D. None of these
| 3 |
Physics
|
In the given figure three lines \( \overrightarrow{A B}, \overrightarrow{C D} \)
and \( \widehat{E F} \) intersecting at \( 0 . \) Find the values of \( x, y \) and \( z \) it is being given
that \( \boldsymbol{x}: \boldsymbol{y}: \boldsymbol{z}=\boldsymbol{2}: \boldsymbol{3}: \boldsymbol{5} \)
| 2 |
Maths
|
The differential equation by eliminating \( A \) and \( B \) from \( y=A x^{3}+B x^{2} \) is
\( ^{\mathbf{A}} \cdot_{x^{2}}\left(\frac{d^{2} y}{d x^{2}}\right)+4 x\left(\frac{d y}{d x}\right)+6 y=0 \)
в. \( x^{2}\left(\frac{d^{2} y}{d x^{2}}\right)-4 x\left(\frac{d y}{d x}\right)-6 y=0 \)
c. \( x^{2}\left(\frac{d^{2} y}{d x^{2}}\right)-4 x\left(\frac{d y}{d x}\right)+6 y=0 \)
D \( x^{2}\left(\frac{d^{2} y}{d x^{2}}\right)-5 x\left(\frac{d y}{d x}\right)+6 y=0 \)
| 2 |
Maths
|
Select the correct option:Fermentation
is represented by the equation
\( \mathbf{A} \cdot C_{6} H_{12} O_{6}+6 O_{2} \rightarrow 6 C O_{2}+6 H_{2} O+686 K c a l \)
B \( \cdot C_{6} H_{12} O_{6} \rightarrow 2 C_{2} H_{5} O H+2 C O_{2}+59 K c a l \)
\( \mathbf{c} \cdot 6 C O_{2}+12 H_{2} O \frac{\text {Light}}{\text {Chlorophyll}} C_{6} H_{12} O_{6}+6 H_{2} O+6 O_{2} \)
D. \( 6 C O_{2}+6 H_{2} O \rightarrow C_{6} H_{12} O_{6}+6 O_{2} \)
| 0 |
Biology
|
Find the derivative of \( e^{x}+e^{y}=e^{x+y} \)
\( \mathbf{A} \cdot-e^{x-y} y^{y} \)
B . \( e^{x-y} \)
\( \mathbf{c} \cdot-e^{y-x} \)
D. \( e^{y-x} \)
| 2 |
Maths
|
By suspending a mass of \( 0.50 \mathrm{kg} \), a spring is stretched by \( 8.20 \mathrm{m} . \) If a mass of \( 0.25 \mathrm{kg} \) is suspended, then its period of oscillation will be:
(Take \( g=10 m s^{-2} \) )
A . 0.137 s
B. 0.328 s
c. 0.628 s
D. 1.000
| 3 |
Physics
|
List the coordinates of the vertices of
the larger shape
| 2 |
Maths
|
A smooth rubber cord of length \( l \) whose
coefficient of elasticity is \( k \) is
suspended by one end from the point \( \boldsymbol{O} \) (figure shown above). The other end is fitted with a catch \( B . \) A small sleeve \( A \)
of mass \( m \) starts falling from the point
O. Neglecting the masses of the thread and the catch, find the
maximum elongation of the cord.
| 3 |
Physics
|
How many different words can be
formed from the letters of the word
GANESHPURI when:
The letter \( P \) and \( I \) respectively occupy
the first and last places.
| 2 |
Maths
|
A man standing on the edge of a cliff throws a stone straight up with initia speed \( u \) and then throws another stone
straight down with same initial speed \( u \)
from the same position. Find the ratio of speeds, the stones would have attained
when they hit the ground at the base of the cliff?
A . 2: 1
B. 1: 2
c. 1: 1
D. 3: 1
| 3 |
Physics
|
Prove: \( \tan ^{-1}\left(\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}\right)= \)
\( \frac{\pi}{4}-\frac{1}{2} \cos ^{-1} x,-\frac{1}{\sqrt{2}} \leq x \leq 1 \)
[Hint: \( p u t x=\cos 2 \theta] \)
| 2 |
Maths
|
Explain the importance of fossils in organic evolution.
| 3 |
Physics
|
Checking of radiating heat by
atmospheric dust, \( 0_{3}, \mathrm{CO}_{2} \) and water vapours is
A. Greenhouse effect
B. Solar effect
c. Ozone layer effect
D. Radioactive effect
| 0 |
Biology
|
In damped vibrations, as time progresses, amplitude of oscillation
A. decreases
B. increases
c. Remains same
D. Data insufficient
| 3 |
Physics
|
A ball falling in a lake of depth \( 200 \mathrm{m} \) shows \( 0.1 \% \) decrease in its volume at
the bottom. What is the Bulk modulus
of the ball material? (Take density of water \( =1000 \mathrm{kg} / \mathrm{m}^{3} \) ):
A \( \cdot 19.6 \times 10^{8} N / m^{2} \)
В. \( 19.6 \times 10^{-10} \mathrm{N} / \mathrm{m}^{2} \)
c. \( 19.6 \times 10^{10} N / m^{2} \)
D. \( 19.6 \times 10^{-8} N / m^{2} \)
| 3 |
Physics
|
A solid sphere of radius \( R \) has a charge
\( +2 Q . \) A hollow spherical shell of radius
\( 3 R \) placed concentric with the first
sphere has net charge - \( Q \). Calculate
the potential difference between the
spheres:
\( ^{A} \cdot \frac{Q}{3 \pi \varepsilon_{0} R} \)
в. \( \frac{2 Q}{3 \pi \varepsilon_{\Omega} R} \)
c. \( \frac{3 Q}{\pi \varepsilon_{0} R} \)
\( D \)
| 3 |
Physics
|
As waves propagate through a medium,
they transport energy. We can easily
demonstrate this by
This question has multiple correct options
A. hanging an object on a stretched string and then sending a pulse down the string
B. throwing a stone into a pond
C . compressing a spring and releasing it.
D. None of these.
| 3 |
Physics
|
Which of the following is not a function of Iymph?
A. Supplies oxygen and prevents spreading of infections
B. Returns proteins to the bloodd
c. Absorbs vitamins and minerals
D. None of the above
| 0 |
Biology
|
When a body is placed on a surface, the body exerts a force downwards
A. Move then the weight of the body
B. Less than the weight of the body
c. Equal to its weight on the surface
D. All
| 3 |
Physics
|
A system of \( 100 k g \) mass undergoes a process in which its specific entropy
increases from \( 0.3 k J g^{-1} K^{-1} \) to
\( 0.4 k J g^{-1} K^{-1} . \) At the same time, the entropy of the surrounding decreases from \( 80 k J K^{-1} \) to \( 75 k J K^{-1} . \) Find the
\( (\Delta S)_{\text {universe}} \) in \( k J K^{-1} \)
| 1 |
Chemistry
|
A storage cell is charged by 5 amp d.c. for 18 hours.lts strength after charging will be
\( \mathbf{A} \cdot 18 A H \)
в. \( 5 A H \)
c. \( 90 A H \)
D. \( 15 A H \)
| 3 |
Physics
|
The given figure illustrates the changes in lung volume during the process of breathing.The change from II to III
indicates the
A. movement of diaphragm away from the lungs
B. expansion of the thoracic cavity
c. movement of air out of the lungs
D. expansion of ribs.
| 0 |
Biology
|
In N-type semiconductors, holes are:
A. majority carriers
B. minority carriers
\( c . \) absent
D. none of these
| 3 |
Physics
|
The wave motion of electron in a Bohr's
orbit of hydrogen is as shown in
diagram. The potential energy of
electron in the given orbit of hydrogen
atom is:
A \( .-3.4 \mathrm{eV} \)
B. +3.4 ev
\( \mathbf{c} .-3.02 \mathrm{eV} \)
D. -1.51 ev
| 1 |
Chemistry
|
What makes the boiling point of water abnormally high as compared to similar compounds?
A. Van der Waals forces
B. Hydrogen bonding
c. Polar covalent bonding
D. Dipole insulation
| 1 |
Chemistry
|
\( P \) is a point moving with constant speed \( 10 m / s \) such that its velocity
vector always maintains an angle \( 60^{\circ} \)
with line \( O P \) as shown in figure \( (O \) is a fixed point in space). The initial distance between \( O \) and \( P \) is \( 100 m \).
After what time shall \( P \) reach \( O \)
A . \( 10 s \)
B. \( 15 s \)
c. \( 20 s \)
D. \( 20 \sqrt{3} s \)
| 3 |
Physics
|
A gas cylinder containing cooking gas
can withstand a pressure of 14.9 atm. The pressure guage of the cylinder
indicates 12 atm at \( 27^{\circ} \mathrm{C} \). Due to
sudden fire in the building, its temperature stats rising. At what temperature cylinder will explode?
| 1 |
Chemistry
|
Biotic community along with its interacting physical environment comprises
A. Phytosociology
B. Phytogeography
c. Ecosystem
D. Ecology
| 0 |
Biology
|
\( \underbrace{k} \)
| 3 |
Physics
|
Where do you found ligament in our body?
| 0 |
Biology
|
Let \( \alpha \) and \( \beta \) be the roots of the equation \( x^{2}-\left(1-2 a^{2}\right) x+\left(1-2 a^{2}\right)=0 . \) Under
what condition does the given equation have real roots.
A \( \cdot a^{2}<\frac{1}{2} \)
B. \( a^{2}>\frac{1}{2} \)
\( c \cdot a^{2} \leq \frac{1}{2} \)
D. \( a^{2} \geq \frac{1}{2} \)
| 2 |
Maths
|
The most efficient precursor of ethylene
is
A. Adenine
B. Thiocarbarnate
c. zeatin
D. Methionine
| 0 |
Biology
|
Find the acceleration of the moon with
respect to the earth from the following
data:
Distance between the earth and the
moon \( =3.85 \times 10^{5} \) and the time taken
by the moon to complete one revolution around the earth \( =27.3 \) days.
| 3 |
Physics
|
If a point lies at a distance \( ^{\prime} x^{\prime} \) from the
mid point of the dipole, the electric potential at this point is proportional to
A \( \cdot \frac{1}{x^{2}} \)
B. \( \frac{1}{x^{3}} \)
c. \( \frac{1}{x^{4}} \)
D. \( \frac{1}{x^{3 / 2}} \)
| 3 |
Physics
|
Which of the following is the pribnow
box?
A . 5' TATAAT 3
B. 5' TAATTAT 3
c. \( 5^{\text {' }} \) AATAAT \( 3^{\text {' }} \)
D. 5' ATATTA 3'
| 0 |
Biology
|
\( \boldsymbol{A}(\mathbf{1}, \mathbf{2}, \mathbf{5}), \boldsymbol{B}(\mathbf{5}, \mathbf{7}, \mathbf{9}) \) and \( \boldsymbol{C}(\mathbf{3}, \mathbf{2},-\mathbf{1}) \) are
given three points \( A \) unit Vector normal
to the plane of the triangle \( A B C \)
A \( \cdot \frac{15 \bar{i}+16 \bar{j}-5 \bar{k}}{\sqrt{506}} \)
B. \( \frac{-15 \bar{i}+16 \bar{j}-5 \bar{k}}{\sqrt{506}} \)
c. \( \frac{-15 \bar{i}+16 \bar{j}+5 \bar{k}}{\sqrt{506}} \)
D. \( \frac{\bar{i}+\bar{j}+\bar{k}}{\sqrt{506}} \)
| 2 |
Maths
|
A point charge \( q \) is placed at \( O \) as shown in the figure. Is \( V_{P}-V_{Q} \) positive or negative when a)
\[
\boldsymbol{q}>\mathbf{0} \text { b) } \boldsymbol{q}<\mathbf{0} ?
\]
Justify your answer.
| 3 |
Physics
|
Explain the use of P-N junction diode as
full wave rectifier on the basis of the
following points.
(i) Labelled circuit diagram
(ii) Working method
(iii) Graph between input and output potential with the variation of time.
| 3 |
Physics
|
Assertion
A mixture of o- nitrophenol and \( p \) nitrophenol can be separated by steam distillation.
Reason
p-nitrophenol is steam volatile whereas o-nitrophenol is not steam volatile.
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
|
The power rating of an electric motor
that draws a current of \( 3.75 A \), when
operated at \( 200 V \), is nearly
\( \mathbf{A} \cdot 54 W \)
в. \( 1 h p \)
c. \( 500 W \)
D. \( 800 W \)
| 3 |
Physics
|
If \( \frac{3}{2}+y^{3}=3 a x y, \) then find \( \frac{d y}{d x} \)
| 2 |
Maths
|
toppr
-oGıN
Q Type your question_
Help him by completing the following
table.
Number of spokes 10
Angle between pair of consecutive
spokes (in degrees)
(i) Are the number of spokes and the
angles formed between the pairs of
consecutive spokes in inverse
proportion?
(ii) Calculate the angle between a pair of consecutive spokes on a wheel with
15 spokes
(iii) How many spokes would be needed, if the angle between a pair of
consecutive spokes is \( 40 ? \)
| 2 |
Maths
|
Name the waves which are used in
'SONAR' to find the depth of a sea. State
one property of waves for their use.
| 3 |
Physics
|
For a cell, a graph is plotted between the potential difference \( V \) across the
terminals of the cell and the current \( I \)
drawn from the cell (see Figure). The
emf and the internal resistance of the
cell are \( E \) and \( r, \) respectively. Then :
A \( . E=2 V, r=0.5 \Omega \)
B. \( E=2 V, r=0.4 \Omega \)
c. \( E>2 V, r=0.5 \Omega \)
D. \( E>2 V, r=0.4 \Omega \)
| 3 |
Physics
|
Two long current carrying thin wires, both with current \( I \), are held by
insulating threads of length \( L \) and are in equilibrium as shown in the figure, with threads making an angle ' \( \boldsymbol{\theta}^{\prime} \) with
the vertical. If wires have mass \( \lambda \) per
unit length then the value of \( I \) is \( :(g= \)
gravitational acceleration)
A \( \cdot 2 \sqrt{\frac{\pi g L}{\mu_{0}} \tan \theta} \)
B. \( 2 \sin \theta \sqrt{\frac{\pi \lambda g L}{\mu_{0} \cos \theta}} \)
c. \( \sin \theta \sqrt{\frac{\pi \lambda g L}{\mu_{0} \cos \theta}} \)
D. \( \sqrt{\frac{\pi \lambda g L}{\mu_{0}}} \tan \theta \)
| 3 |
Physics
|
The amplitude of a particle in SHM is \( 5 \mathrm{cms} \) and its time period is \( \pi . \) At a displacement of \( 3 \mathrm{cm} \) from its mean
position the velocity in cm/sec will be:
\( A \cdot 8 \)
B. 12
\( c \cdot 2 \)
D. 16
| 3 |
Physics
|
The fraction \( \frac{x}{y} \) is altered by decreasing
\( x \) by 25 per cent and increasing \( y \) by 25 percent. The new fraction is what
percent less than the original?
A . 35
B. 40
\( c \cdot 42 \)
D. 45
| 2 |
Maths
|
Under 3 atm, 12.5 litre of a gas weighs
15 gm. What will be the average speed of gaseous molecules?
A \( \cdot 8.028 \times 10^{4} \mathrm{cm} / \mathrm{sec} \)
B. \( 6.028 \times 10^{2} \mathrm{cm} / \mathrm{sec} \)
c. \( 8.028 \times 10^{5} \mathrm{cm} / \mathrm{sec} \)
D. \( 6.028 \times 10^{4} \mathrm{cm} / \mathrm{sec} \)
| 1 |
Chemistry
|
Force vs Elongation graph of a wire is shown in the figure for two different
temperatures \( \boldsymbol{T}_{1} \& \boldsymbol{T}_{2}, \) then
A \( \cdot T_{1}=T_{2} \)
В \( \cdot T_{1}<T_{2} \)
\( c \cdot T_{1}>T_{2} \)
D. cannot be predicted
| 3 |
Physics
|
A bicycle can go up a gentle incline with
constant speed where the frictional force of ground pushing the rear whee
is \( F_{2}=4 N . \) With what force \( F_{1} \) must
the chain pull on the socket wheel if
\( R_{1}=5 \mathrm{cm} \) and \( R_{2}=30 \mathrm{cm} ? \)
\( A \cdot 4 N \)
В. 24 .
\( c .140 N \)
D. \( \frac{35}{4} \) N
| 3 |
Physics
|
On squared paper copy the triangle in
the following figure. In a given case
draw the line (s) of symmetry if any
identify the type of the triangle.
| 2 |
Maths
|
A trapezium has its non parallel sides congruent, then its opposite angles are
A. congruent
B. supplementary
c. complementary
D. None of these
| 2 |
Maths
|
force that is transmitted
through a string, rope, cable etc. When it is pulled by forces acting from opposite ends.
A. Normal reaction
B. Tension
c. Gravitation
D. All
| 3 |
Physics
|
The three cardinal points related to photosynthesis was proposed by
A. Blackman
B. Sachs
c. Roger slack
D. None of the above
| 0 |
Biology
|
Function of ciliary muscles is
A. To contract pupil when one move in sunlight
B. To keep valve in position
C . To rotate eye ball
D. To change shape of lens
| 0 |
Biology
|
A volume of gaseous hydrocarbon was exploded with an excess of oxygen. The
observed contraction was \( 2.5 V \), and on
treatment, with potash, there was a
further contraction of \( 2 V . \) What is the
molecular formula of the hydrocarbon?
A. \( C_{2} H_{6} \)
в. \( C_{3} H_{6} \)
c. \( C_{6} H_{10} \)
D. \( C_{2} H_{4} \)
| 1 |
Chemistry
|
Nephrons are connected with
A. Respiratory system
B. Nervous system
C. Circulatory system
D. Excretory system
| 0 |
Biology
|
Two forces each of \( 5 N \) act vertically upwards and downwards respectively
on the two ends of a uniform metre rule
which is placed at its mid-point as shown in the diagram. Determine the magnitude of the resultant moment of
these forces about the midpoint
| 3 |
Physics
|
An unnumbered wall clock shows time
\( 04: 25: 37, \) where ist term represents
hours, 2nd represents minutes and the last term represents seconds. What time will its image in a plane mirror show
\( \mathbf{A} \cdot 08: 35: 23 \)
B. \( 0 .: 35: 23 \)
c. 07: 35: 23
D. none of these
| 3 |
Physics
|
Which of the following oxide(s) of iron would be obtained on prolonged reaction of iron with steam?
A. FeO
в. \( F e_{2} O_{3} \)
\( \mathbf{c} \cdot F e_{3} O_{4} \)
D. \( F e_{2} O_{3} \) and \( F e_{3} O_{4} \)
| 1 |
Chemistry
|
MSH produced by the pars intermedia of pituitary causes in lower vertebrates
A. Darkening of skin
B. Light colouration of skin
c. Both A and B
D. None of the above
| 0 |
Biology
|
If \( f(x) \) be such that \( f(x)=\max \)
\( \left\{|2-x|, 2-x^{3}\right\}, \) then
This question has multiple correct options
A continuous \( \forall x \in R \)
\[
f(x) \text { is continuous } x \in R
\]
B. \( f(x) \) is differentiable \( \forall x \in R \)
c. \( f(x) \) is non-differentiable at one point only
D. \( f(x) \) is non-differentiable at 4 points only
| 2 |
Maths
|
A diode is connected in a circuit as
shown in the figure. The correct
statement related to this figure is?
| 3 |
Physics
|
Assertion
Bending a wire does not effect electrical
resistance
Reason
Resistance of wire is proportional to
resistivity of material
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. Assertion is incorrect but Reason is correct
| 3 |
Physics
|
If carbon dioxide is withdrawn from the
biosphere, which organism would first experience negative effects?
A. Primary consumers
B. Producers
c. Secondary consumers
D. Tertiary consumers
| 0 |
Biology
|
At what speed does heat radiation travel? What path does it follow?
| 3 |
Physics
|
Explain the term lattice energy as applied to an ionic solid. Calculate the lattic energy of caesium chloride using the following data:
\[
\operatorname{Cs}(s) \rightarrow \operatorname{Cs}(g) \quad \Delta H=+79.9 \mathrm{kJ} \mathrm{mol}^{-1}
\]
\[
\begin{array}{ll}
\mathrm{Cs}(\mathrm{g}) \rightarrow \mathrm{Cs}^{-}(8) & \Delta H=+37+.05 \mathrm{kJ} \mathrm{mol}^{-1} \\
\mathrm{Cl}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{C} \mid(\mathrm{g}) & \Delta H=+241.84 \mathrm{kJ} \mathrm{mol}^{-1}
\end{array}
\]
\[
\mathrm{Cl}(\mathrm{g})+\mathrm{e} \rightarrow \mathrm{Cl}^{-}(\mathrm{g}) \quad \Delta H=-397.90 \mathrm{kJ} \mathrm{mol}^{-1}
\]
\[
\mathrm{Cs}(\mathrm{s})+\frac{1}{2} \mathrm{Cl}_{2} \rightarrow \mathrm{CsCl}(\mathrm{s}) \quad \Delta H=-623.00 \mathrm{kJ} \mathrm{mol}^{-1}
\]
| 1 |
Chemistry
|
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