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Published on: 21/10/2025
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Questions + Answers key
Take MCQ Physics Test
1.
If 1, a and τ are moment of inertia, angular acceleration and torque respectively of a body rotating about any axis with angular velocity ω, then
τ = Iα
τ = Iω
I = τω
α = τω
2.
If there is no external force acting on a non-rigid body, which of the following quantities must remain constant?
linear momentum
moment of inertia
angular momentum
kinetic energy
3.
Total KE. of a sphere of mass M rolling with velocity V is:
\(\frac{7}{10} M V^{2}\)
\(\frac{5}{6} M V^{2}\)
\(\frac{7}{5} M V^{2}\)
\(\frac{10}{7} M V^{2}\)
4.
A man is sitting with folded hands on a revolving table. Suddenly, he stretches his arms. Angular speed of the table would
increase
decrease
remain the same
nothing can be said.
5.
When sand is poured on a rotating disc, its angular velocity will
decrease
increases
remain constant
none of these
6.
A ring of radius r and mass m rotates about an axis passing through its centre and perpendicular to its plane with angular velocity ω, Its K.E. is
mrω
\(\frac{1}{2} m r \omega^{2}\)
mr2ω2
\(\frac{1}{2} m r^{2} \omega^{2}\)
7.
One solid sphere A and another hollow sphere B are of same mass Afidsame outer radius. Their moments of inertia about their diameters are respectively, IA and IB such that
IA = IB
IA > IB
IA < IB
None of these
8.
The angular velocity of a wheel increases from 100 rps to 300 rps in 10 s. The number of revolutions made during that time is
600
1500
1000
2000
9.
For n-particles in a space, the suitable expression for the position vector of centre of mass is
\(\frac{\Sigma m_{i} \mathbf{r}_{i}}{m_{i}}\)
miri
\(\frac{\Sigma m_{i} \mathbf{r}_{i}}{M}\)
\(\frac{m_{i} \mathbf{r}_{i}}{m_{i}}\)
10.
A system of particles is called a rigid body when
any two of particles of system may have displacements in opposite directions under action of a force.
Any two of particles of system may have velocities in opposite directions under action of a force
Any two particles of system may have a non-zero relative velocity.
Any two of particles of system may have displacements in same direction under action of a force
11.
In the game of see-saw, what should be the displacement of boy B from right edge to keep the see-saw in equilibrium? (M1 = 40 kg, M2 = 60 kg)
\(\frac{4}{3} \mathrm{~m}\)
1 m
\(\frac{2}{3} \mathrm{~m}\)
Zero
12.
A body is rotating with angular velocity \(\omega=(3 \mathbf{i}-4 \mathbf{j}-\hat{\mathbf{k}})\) .The linear velocity of a point having position vector \(\mathbf{r}=(5 \hat{\mathbf{i}}-6 \hat{\mathbf{j}}+6 \hat{\mathbf{k}})\) is
\(6 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}\)
\(-18 \hat{\mathbf{i}}-23 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\)
\(-30 \hat{\mathbf{i}}-23 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\)
\(6 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}\)
13.
The radius of gyration of a uniform rod of length L about an axis passing through its centre of mass is:
\(\frac { L }{ \sqrt { 12 } } \)
\(\frac { l }{ \sqrt { 2 } } \)
\(\frac { { L }^{ 2 } }{ 12 } \)
\(\frac { { L }^{ 2 } }{ \sqrt { 3 } } \)
14.
A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is
4L
\(\frac { L }{ 2 } \)
\(\frac { L }{ 4 } \)
2L
15.
A cylindrical solid of mass M has raidus R and length L. Its moment of inertia about a generator is:
\(N\left( \frac { L }{ R } +\frac { { R }^{ 2 } }{ 4 } \right) \)
\(\frac { 1 }{ 2 } { MR }^{ 2 }\)
\(\frac { 3 }{ 2 } { MR }^{ 2 }\)
\(M\left( \frac { { L }^{ 2 } }{ 3 } +\frac { { R }^{ 2 } }{ 4 } \right) \)
1.
(a)
τ = Iα
2.
(a)
linear momentum
3.
(a)
\(\frac{7}{10} M V^{2}\)
4.
(b)
decrease
5.
(a)
decrease
6.
(d)
\(\frac{1}{2} m r^{2} \omega^{2}\)
7.
(c)
IA < IB
8.
(d)
2000
9.
(c)
\(\frac{\Sigma m_{i} \mathbf{r}_{i}}{M}\)
10.
(c)
Any two particles of system may have a non-zero relative velocity.
11.
(c)
\(\frac{2}{3} \mathrm{~m}\)
12.
(c)
\(-30 \hat{\mathbf{i}}-23 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\)
13.
(a)
\(\frac { L }{ \sqrt { 12 } } \)
14.
(c)
\(\frac { L }{ 4 } \)
15.
(c)
\(\frac { 3 }{ 2 } { MR }^{ 2 }\)
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