Exam (elaborations)
Combined Prodigy Test - 3-May - Full Syllabus
Combined Prodigy Test - 3-May - Full Syllabus
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Combined Prodigy Test - 3- Contact Number:May - Full Syllabus
Physics - Section A 4 Given below are two statements:
Work done in uniform circular motion is
Assertion (A):
1 If a soap bubble expands, the pressure inside the zero.
bubble: Force is always directed along
Reason (R):
is equal to the atmospheric displacement.
1. 2. decreases
pressure
remains the Both (A) and (R) are True and (R) is the correct
3. increases 4. 1.
same explanation of (A).
Both (A) and (R) are True but (R) is not the correct
2.
2 The (acceleration-time) graph of a particle is shown explanation of (A).
in the figure. What is the velocity of the particle at t = 8 3. (A) is True but (R) is False.
s, if the initial velocity of the particle is 3 m/s? 4. Both (A) and (R) are False.
5 The equation of wave is given as
y = 0.05sin(2x − 4t), where x in meters and t in
seconds. The velocity of the wave is equal to:
1. 2 m/s
2. 4 m/s
3. 0.5 m/s
4. 0.25 m/s
6 The SI unit of permeability of free space is:
weber henry
1. 2.
1. 4 m/s ampere ampere
2. 5 m/s tesla weber
3. 6 m/s 3. 4.
ampere − meter ampere − meter
4. 7 m/s
3 A body of mass 2 kg is doing motion in a conical 7 If an electron enters into space between plates of a
pendulum. What is the angular speed of rotation? parallel plate capacitor at an angle of 30 with the plates
∘
and leaves at an angle of 45 to the plates, the ratio of
∘
kinetic energies while entering the plates to that while
leaving will be:
1. 2 : 3
2. 1 : 3
3. 1 : 2
4. 3 : 4
8 A thin paper cup filled with water does not catch
fire when placed over a flame. This is because:
1. the water cuts off the oxygen supply to the paper cup
1. √2.5 rad/s
2. water is an excellent conductor of heat
2. √2 rad/s
3. √3 rad/s the paper cup does not become appreciably hotter
3.
than the water it contains
4. √2.7 rad/s
4. the paper is a poor conductor of heat
Page: 1
, Combined Prodigy Test - 3- Contact Number:
May - Full Syllabus
9 The heat taken by the gas in process a to b is 6P 0 V0 . 11 The fundamental frequency of a string is
Match column I with column II. proportional to:
1. the inverse of its length
2. the diameter
3. the tension
4. the density
12 A bullet when fired at a target has its velocity
decreased by 50% after penetrating 30 cm into it. Then,
the additional thickness that it will penetrate (in cm)
before coming to rest is:
1. 10
2. 30
Column 3. 40
Column I 4. 60
II
A. W P.
13 Given below are two statements:
ab 1.5R
B. ΔU Q.
3P0 V0
ab
2 The moment of inertia of any body
molar heat capacity in the given about an axis passing through its centre-
C. R. Assertion (A):
9P0 V0
process 2 of-mass is smaller than any other axis
D. C for the gas
v S. 2R parallel to it.
Choose the correct option: The moment of inertia (I ) of any body
a
1. A → P, B → Q, C → S, D → R about any axis (a) not passing through
2. A → R, B → Q, C → S, D → P its centre-of-mass is related to the
3. A → Q, B → R, C → P, D → S corresponding moment of inertia (ICM )
Reason (R): about a parallel axis through its centre-
4. A → Q, B → R, C → S, D → P
of-mass by the relation:
2
10 A wooden object floats in water kept in a beaker.
Ia = I + md ,
CM
where m is the mass of the body and d
The object is near a side of the beaker (figure). Let P , 1
is the distance between the two axes.
P , P be the pressures at the three points A, B and C of
2 3
the bottom as shown in the figure.
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
Both (A) and (R) are True and (R) is the correct
3.
explanation of (A).
Both (A) and (R) are True but (R) is not the correct
4.
explanation of (A).
Then:
1. P = P
1 2 = P3
2. P < P
1 2 < P3
3. P = P
1 2 ≠ P3
4. P = P
2 3 ≠ P1
Page: 2
, Combined Prodigy Test - 3- Contact Number:
May - Full Syllabus
14 Let the speed of the planet at the perihelion P in the 16 A uniform rod of mass m and length l is in uniform
figure shown below be v and the Sun-planet distance translational motion. If one of its ends is suddenly
p
SP be r . Will the planet take equal time to traverse
p
hinged then (hinge is smooth):
BAC and CP B?
1. It will continue its translational motion.
It will now be in pure rotational motion about the
2.
hinged end.
It will now have combined translational and
3.
rotational motion.
4. It will stop.
17 The equivalent capacitance of the following
arrangement is:
1. no
2. yes
3. depends on the mass of the planet
4. we can't say anything
15 The diagram shows stress v/s strain curve for
materials A and B. From the curves, we infer that:
1. 18 μF
2. 9 μF
3. 6 μF
4. 12 μF
18 The rms speed of oxygen at room temperature is
about 500 m/s. The rms speed of hydrogen at the same
temperature is about:
1. 125 m s–1
2. 2000 m s–1
3. 8000 m s–1
1. A is brittle but B is ductile. 4. 31 m s–1
2. A is ductile and B is brittle.
19 A student measures the diameter of a wire using a
3. Both A and B are ductile.
screw gauge with the least count of 0.001 cm. The
4. Both A and B are brittle. measured value should be recorded as:
1. 5.3200 cm
2. 5.3 cm
3. 5.32 cm
4. 5.320 cm
Page: 3
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