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Combined Prodigy Test - 2-May - Full Syllabus.
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Combined Prodigy Test - 2- Contact Number:May - Full Syllabus
Physics - Section A 6 A paramagnetic substance of susceptibility
is placed in a magnetic field of
3 × 10
−4
1 The angles of contact between the capillary tubes 4 × 10 A-m . The intensity of magnetization in the
−4 −1
and three liquids in three containers A, B, and C are 30 , units of A-m is:
∘ −1
90 and 120 respectively. The level of liquid inside the 1. 1.33 × 10 2. 0.75 × 10
∘ ∘ 8 −8
capillary tubes in containers: 3. 12 × 10 4. 14 × 10
−8 −8
1. falls in B and rises in C An electric dipole with dipole moment
7
2. rises in A and neither rises nor falls in B
Cm is aligned at 30 with the direction of a
4 × 10
−9 ∘
3. falls in C and rises in B
uniform electric field of magnitude 5 × 10 NC . The 4 −1
4. falls in A and neither rises nor falls in B magnitude of the torque acting on the dipole is:
1. 2 × 10 N-m −5
2 If the velocity of a particle is v = At + Bt , where 2. 10 N-m
2
−4
A and B are constants, then the distance travelled by it
3. 10 N-m −5
between 1 s and 2 s is: 4. 2 × 10 N-m −4
1. 3A + 7B 2.
3 7
A + B
2 3
3. +
A B
4. + 4B
3A 8 The absolute zero temperature on the Fahrenheit
scale is (approximately):
2 3 2
1. −273 F ∘
3 If the time of flight of a projectile is doubled, 2. −32 F ∘
maximum height attained 3. −460 F ∘
1. becomes half 4. −132 F ∘
2. remains unchanged
3. doubles 9 The figure shows a (P -V ) diagram of a
4. becomes four times
thermodynamic cycle. Which of the following (V -T )
4 A block of mass 5 kg, moving in the positive x- curve is correct?
direction with a constant speed of 10 ms . It is
−1
subjected to a retarding force F = 0.2x N during its
travel from x = 10 m to x = 20 m. Its final kinetic
energy will be:
1. 250 J
2. 200 J
3. 220 J
4. 280 J
5 The fundamental frequencies of a closed pipe and
an open pipe are identical. The first overtone for the
closed pipe is f and for the open pipe is f . Their ratio
c o
1. 2.
fc
fo
is:
1
1. 1 2.
2
2 3
3. 4.
3 2
3. 4.
Page: 1
, Combined Prodigy Test - 2- Contact Number:
May - Full Syllabus
10 Air is pushed carefully into a soap bubble of radius 15 If two identically shaped rods are joined end to end
r to double its radius. If the surface tension of the soap and compressive forces are applied to the system, the
solution is T , then work done in the process is: compressive strain will be:
1. 12πr T
2
2. 24πr T
2
3. 4πr T
2
4. 8πr T
2
11 A wave travelling along a string is described by, 1. larger in the rod with a larger Young's modulus
y(x, t) = 0.005 sin(80.0x − 3.0t), in which the2. larger in the rod with a smaller Young's modulus
numerical constants are in SI units. The wavelength and 3. equal in both the rods
the period of the wave respectively are: 4. negative in the rod with a smaller Young's modulus
1. 7.85 cm and 2.09 s
2. 7.85 mm and 1.09 s 16 Two blocks are joined by a light spring of spring
3. 7.85 m and 0.09 s
constant, k = 1000 N/m, and are placed at rest on a
4. none of these
horizontal frictionless table. A horizontal force of 6 N
acts on the 2 kg block. The acceleration of the centre-of-
12 A particle of mass m is moving under a force whose mass of the system is:
delivered power P is constant. The initial velocity of the
particle is zero. The position of a particle at t = 4 s is:
1. 16
3
√
2P
m
2. 4
3
√
2P
m
3. 2
3
√
m
P
4. 3
10
√
P
m
1. 3 m/s2
13 The moment of inertia of a uniform circular disc is 2
2. 2 m/s
maximum about an axis perpendicular to the disc and
passing through: 3. 1.5 m/s2
4. 4.5 m/s2
17 Given below are two statements:
The capacitance of a solid copper sphere
Statement I: is greater than the capacitance of a
hollow copper sphere of the same radius.
The mass of a solid copper sphere is
Statement II: greater than the mass of a hollow copper
sphere of the same radius.
1. C 1. Statement I is correct and Statement II is incorrect.
2. D 2. Statement I is incorrect and Statement II is correct.
3. A 3. Both Statement I and Statement II are correct.
4. B 4. Both Statement I and Statement II are incorrect.
14 The gravitational potential energy of a particle of 18 The ratio of specific heats γ (C p
/Cv ) for a diatomic
mass m at a distance r from the centre of the earth is molecule having vibrational mode is:
given by: (M = mass of the earth, G= gravitational 1. 3/2
constant):
2. 5/3
1. GM m
r
2. −GM m
r 3. 7/5
3. GM
r
4. −GM
4. 9/7
r
Page: 2
, Combined Prodigy Test - 2- Contact Number:
May - Full Syllabus
19 The mass of a paper box is 2.3 g. Two cork pieces 22 Two capacitors of capacitance 6 μ F and 3 μ F are
each of mass 0.035 g are placed in it. The total mass of connected in series with battery of 30 V. The charge on
the box and cork pieces with due regard to significant 3 μF capacitor at a steady state is:
digit will be:
1. 2.4 g
2. 2.370 g
3. 2.37 g
4. 2.3 g
20 A circular coil ABCD carrying a current i is placed
in a uniform magnetic field. If the magnetic force on the
segment AB is F→, then the force on the remaining
segment BCDA is:
1. 3 μC
2. 1.5 μC
3. 60 μC
4. 900 μC
23 In an inelastic collision:
The initial kinetic energy is equal to the final kinetic
1.
energy.
The final kinetic energy is less than the initial kinetic
2.
energy.
1. −F→ 3. The kinetic energy remains constant.
4. The kinetic energy first increases and then decreases.
2. 3F→
3. −3F→
24 A boat is rowed across a 400 m wide river so that it
4. F→
can reach the opposite bank in a minimum of
10 minutes. No matter which direction the boat is rowed
21 A ball is spun with angular acceleration in, it cannot reach a point exactly opposite on the other
α = 6t − 2t where t is in seconds and α is in rad/s .
2 2 bank, unless it is rowed at a slightly higher speed. The
At t = 0, the ball has angular velocity of 10 rad/s and speed of flow of the river is:
angular position of 4 rad. The most appropriate 1. 2.4 km/h 2. 4.8 km/h
expression for the angular position of the ball is: 3. 2.4√2 km/h 4. km/h 2.4
4 3 √2
1. 2.
3 4 2 t t
t − t + 10t − + 10t + 4
2 2 3
3. 2t
4
−
t
3
+ 10t + 12 4. 2t
4
−
t
3
+ 5t + 4 25 A certain amount of gas of volume V at 27
∘
C
3 6 2
temperature and pressure 2 × 10 Nm expands
7 −2
isothermally until its volume gets doubled. Later it
expands adiabatically until its volume gets redoubled.
The final pressure of the gas will be: (Use γ = 1.5)
1. 3.536 × 10 Pa 5
2. 3.536 × 10 Pa 6
3. 1.25 × 10 Pa
6
4. 1.25 × 10 Pa
5
Page: 3
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