Explore topic-wise MCQs in Physics.

This section includes 45 Mcqs, each offering curated multiple-choice questions to sharpen your Physics knowledge and support exam preparation. Choose a topic below to get started.

1.

Two particles are executing S.H.M. The equation of their motion are \[{{y}_{1}}=10\sin \left( \omega \,t+\frac{\pi T}{4} \right),\]\[{{y}_{2}}=25\sin \,\left( \omega \,t+\frac{\sqrt{3}\pi T}{4} \right)\]. What is the ratio of their amplitude [DCE 1996]

A. 1 : 1
B. 2 : 5
C.   ?, +, +  
D. None of these
Answer» C.   ?, +, +  
Discussion
2.

The phase of a particle executing simple harmonic motion is \[\frac{\pi }{2}\] when it has   [MP PET 1985]

A. Maximum velocity 
B. Maximum acceleration
C.   Decrease in velocity
D. Maximum displacement
Answer» E.
Discussion
3.

A simple pendulum has time period T1. The point of suspension is now moved upward according to equation \[y=k{{t}^{2}}\] where\[k=1\,m/se{{c}^{2}}\]. If new time period is T2 then ratio \[\frac{T_{1}^{2}}{T_{2}^{2}}\] will be    [IIT-JEE (Screening) 2005]

A. 2/3 
B. 5/6
C. If assertion is true but reason is false.
D. 3/2
Answer» D. 3/2
Discussion
4.

The displacement of a particle moving in S.H.M. at any instant is given by\[y=a\sin \omega t\]. The acceleration after time \[t=\frac{T}{4}\] is (where T is the time period) [MP PET 1984]

A. \[a\omega \] 
B. \[-a\omega \]
C. A periodic but not simple harmonic motion with a period \[2\pi /\omega \]
D. \[-a{{\omega }^{2}}\]
Answer» E.
Discussion
5.

As a body performs S.H.M., its potential energy U. varies with time as indicated in   [AMU (Med.) 2001]

A.  
B.  
C. Second law of thermodynamics
D.  
Answer» C. Second law of thermodynamics
Discussion
6.

The displacement time graph of a particle executing S.H.M. is as shown in the figure [KCET 2003]

A. The corresponding force-time graph of the particle is   
B.  
C. \[12.48\times {{10}^{2}}\]joules  
D.  
Answer» E.
Discussion
7.

The amplitude of a particle executing SHM is made three-fourth keeping its time period constant. Its total energy will be    [RPMT 2004]

A. \[\frac{E}{2}\]
B. \[\frac{3}{4}E\]
C. Increases by 800 J  
D. None of these
Answer» D. None of these
Discussion
8.

When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude a is [CBSE PMT 1993; EAMCET (Engg.) 1995;    MP PMT 1994, 2000; MP PET 1995, 96, 2002]

A. \[a/4\]
B. \[a/3\]
C. \[W=0,\,Q>0,\] and \[\Delta \,{{E}_{\operatorname{int}}}=Q\]
D. \[2a/3\]
Answer» D. \[2a/3\]
Discussion
9.

The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where E is the total energy)   [CBSE PMT 2003]

A. \[\frac{1}{8}E\] 
B. \[\frac{1}{4}E\]
C. Gibb's energy
D. \[\frac{2}{3}E\]
Answer» C. Gibb's energy
Discussion
10.

The equation of S.H.M. is \[y=a\sin (2\pi nt+\alpha )\], then its phase at time t is    [DPMT 2001]

A. \[2\pi nt\] 
B. \[\alpha \]
C. \[dQ=(dU+dV)\,P\]
D. \[2\pi t\]
Answer» D. \[2\pi t\]
Discussion
11.

Which of the following equation does not represent a simple harmonic motion     [Kerala (Med.) 2002]

A. \[y=a\sin \omega \,t\] 
B. \[y=a\cos \omega \,t\]
C.   573 kJ   
D. \[y=a\tan \omega \,t\]
Answer» E.
Discussion
12.

A \[1.00\times {{10}^{-20}}kg\] particle is vibrating with simple harmonic motion with a period of \[1.00\times {{10}^{-5}}sec\] and a maximum speed of \[1.00\times {{10}^{3}}m/s\]. The maximum displacement of the particle is      [AMU (Med.) 1999]

A. 1.59 mm   
B. 1.00 m
C.   914  
D. None of these
Answer» B. 1.00 m
Discussion
13.

A cylindrical piston of mass M slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of gas. The cylinder is kept with its axis horizontal. If the piston is disturbed from its equilibrium position, it oscillates simple harmonically. The period of oscillation will be   [IIT-JEE 1981]

A. \[T=2\pi \sqrt{\left( \frac{Mh}{PA} \right)}\]
B. \[T=2\pi \sqrt{\left( \frac{MA}{Ph} \right)}\]
C.   More than 13.7 kcal 
D. \[T=2\pi \sqrt{MPhA}\]
Answer» B. \[T=2\pi \sqrt{\left( \frac{MA}{Ph} \right)}\]
Discussion
14.

Two blocks A and B each of mass m are connected by a massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block C also of mass m moves on the floor with a speed v along the line joining A and B and collides with A. Then  [IIT-JEE 1993]  

A. The kinetic energy of the A-B system at maximum compression of the spring is zero
B. The kinetic energy of the A-B system at maximum compression of the spring is \[m{{v}^{2}}/4\]
C.   \[5.7\times {{10}^{4}}\] J
D. The maximum compression of the spring is \[v\sqrt{m/2K}\]
Answer» C.   \[5.7\times {{10}^{4}}\] J
Discussion
15.

A particle of mass m is executing oscillations about the origin on the x-axis. Its potential energy is \[U(x)=k{{[x]}^{3}}\], where k is a positive constant. If the amplitude of oscillation is a, then its time period T is    [IIT-JEE 1998]

A. Proportional to \[\frac{1}{\sqrt{a}}\]
B. Independent of a
C. \[\frac{{{P}_{1}}{{\left( \frac{{{V}_{0}}}{2} \right)}^{\gamma }}}{{{\left( \frac{{{V}_{0}}}{2}+Ax \right)}^{\gamma }}}\]
D. Proportional to \[{{a}^{3/2}}\]
Answer» B. Independent of a
Discussion
16.

A uniform rod of length 2.0 m is suspended through an end and is set into oscillation with small amplitude under gravity. The time period of oscillation is approximately      [AMU (Med.) 2000]

A. 1.60 sec
B. 1.80 sec
C. Less than the final pressure of B
D. 2.40 sec
Answer» E.
Discussion
17.

Which of the following function represents a simple harmonic oscillation    [AIIMS 2005]

A. \[\sin \omega t-\cos \omega t\] 
B. \[{{\sin }^{2}}\omega t\]
C.   \[S{{O}_{2}}C{{l}_{2}}(l)\]
D. \[\sin \omega x-\sin 2\omega t\]
Answer» B. \[{{\sin }^{2}}\omega t\]
Discussion
18.

One end of a spring of force constant k is fixed to a vertical wall and the other to a block of mass m resting on a smooth horizontal surface. There is another wall at a distance \[{{x}_{0}}\] from the black. The spring is then compressed by \[2{{x}_{0}}\] and released. The time taken to strike the wall is

A. \[\frac{1}{6}\pi \sqrt{\frac{k}{m}}\] 
B. \[\sqrt{\frac{k}{m}}\]
C.   Zero
D. \[\frac{\pi }{4}\sqrt{\frac{k}{m}}\]
Answer» D. \[\frac{\pi }{4}\sqrt{\frac{k}{m}}\]
Discussion
19.

A disc of radius R and mass M is pivoted at the rim and is set for small oscillations. If simple pendulum has to have the same period as that of the disc, the length of the simple pendulum should be

A. \[\frac{5}{4}R\] 
B. \[\frac{2}{3}R\]
C. 550K
D. \[\frac{3}{2}R\]
Answer» E.
Discussion
20.

Two identical balls A and B each of mass 0.1 kg are attached to two identical massless springs. The spring mass system is constrained to move inside a rigid smooth pipe bent in the form of a circle as shown in the figure. The pipe is fixed in a horizontal plane. The centres of the balls can move in a circle of radius 0.06 m. Each spring has a natural length of 0.06p m and force constant 0.1N/m. Initially both the balls are displaced by an angle \[\theta =\pi /6\] radian with respect to the diameter \[PQ\] of the circle and released from rest. The frequency of oscillation of the ball B is 

A. \[\pi \,Hz\]
B. \[\frac{1}{\pi }Hz\]
C. If assertion is true but reason is false.
D. \[\frac{1}{2\pi }Hz\]
Answer» C. If assertion is true but reason is false.
Discussion
21.

The function \[{{\sin }^{2}}(\omega t)\]represents      [AIEEE 2005]

A. A simple harmonic motion with a period \[2\pi /\omega \]
B. A simple harmonic motion with a period \[\pi /\omega \]
C. \[-\gamma \frac{\Delta V}{V}\]   
D. A periodic but not simple harmonic, motion with a period \[\pi /\omega \]
Answer» E.
Discussion
22.

Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each differs in phase from the next by \[{{45}^{o}}\], then  [IIT JEE 1999]

A. The resultant amplitude is \[(1+\sqrt{2)}a\]
B. The phase of the resultant motion relative to the first is 90°
C. 1 : 4
D. The resulting motion is not simple harmonic
Answer» B. The phase of the resultant motion relative to the first is 90°
Discussion
23.

The displacement y of a particle executing periodic motion is given by\[y=4{{\cos }^{2}}(t/2)\sin (1000t)\]. This expression may be considered to be a result of the superposition of........... independent harmonic motions   [IIT 1992]

A. Two   
B. Three
C. 2
D. Five
Answer» C. 2
Discussion
24.

An ideal spring with spring-constant K is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is [IIT-JEE (Screening) 2002]

A. 4 Mg/K 
B. 2 Mg/K
C. Isothermal
D. Mg/2K
Answer» C. Isothermal
Discussion
25.

A 15 g ball is shot from a spring gun whose spring has a force constant of 600 N/m. The spring is compressed by 5 cm. The greatest possible horizontal range of the ball for this compression is (g = 10 m/s2)  [DPMT 2004]

A. 6.0 m   
B. 10.0 m
C. \[\frac{1}{2}({{C}_{P}}+{{C}_{V}})(Ti-{{T}_{f}})\]
D. 8.0 m
Answer» C. \[\frac{1}{2}({{C}_{P}}+{{C}_{V}})(Ti-{{T}_{f}})\]
Discussion
26.

One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant K. A mass m hangs freely from the free end of the spring. The area of cross-section and Young's modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to [IIT 1993]

A. \[2\pi \left( \frac{m}{K} \right)\] 
B. \[2\pi {{\left\{ \frac{(YA+KL)m}{YAK} \right\}}^{1/2}}\]
C. \[6{{P}_{o}}\]
D. \[2\pi \frac{mL}{YA}\]
Answer» C. \[6{{P}_{o}}\]
Discussion
27.

A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of [IIT-JEE (Screening) 1999]

A. \[(2/3)k\]
B. \[(3/2)k\]
C. For an adiabatic change \[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{V}_{2}}}{{{V}_{1}}} \right)}^{\gamma }}\], where \[\gamma \] is the ratio of specific heats
D. \[6k\]
Answer» C. For an adiabatic change \[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{V}_{2}}}{{{V}_{1}}} \right)}^{\gamma }}\], where \[\gamma \] is the ratio of specific heats
Discussion
28.

The bob of a simple pendulum executes simple harmonic motion in water with a period t, while the period of oscillation of the bob is \[{{t}_{0}}\]in air. Neglecting frictional force of water and given that the density of the bob is (4/3) ×1000 kg/m3. What relationship between \[t\]and \[{{t}_{0}}\]is true [AIEEE 2004]

A. \[t={{t}_{0}}\]
B. \[t={{t}_{0}}/2\]
C.  
D. \[t=4{{t}_{0}}\]
Answer» D. \[t=4{{t}_{0}}\]
Discussion
29.

The period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination a, is given by [IIT-JEE (Screening) 2000]

A. \[2\pi \sqrt{\frac{L}{g\cos \alpha }}\]
B. \[2\pi \sqrt{\frac{L}{g\sin \alpha }}\]
C. \[\frac{9}{16}E\] 
D. \[2\pi \sqrt{\frac{L}{g\tan \alpha }}\]
Answer» B. \[2\pi \sqrt{\frac{L}{g\sin \alpha }}\]
Discussion
30.

A clock which keeps correct time at \[{{20}^{o}}C\], is subjected to \[{{40}^{o}}C\]. If coefficient of linear expansion of the pendulum is \[12\times {{10}^{-6}}/{}^\circ C\]. How much will it gain or loose in time [BHU 1998]

A. 10.3 seconds / day 
B. 20.6 seconds / day
C. \[a/2\]
D. 20 minutes / day
Answer» B. 20.6 seconds / day
Discussion
31.

The metallic bob of a simple pendulum has the relative densityr. The time period of this pendulum is T. If the metallic bob is immersed in water, then the new time period is given by  [SCRA 1998]

A. \[T\frac{\rho -1}{\rho }\]
B. \[T\frac{\rho }{\rho -1}\]
C. \[\frac{1}{2}E\] 
D. \[T\sqrt{\frac{\rho }{\rho -1}}\]
Answer» E.
Discussion
32.

A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limits \[-\varphi \] and\[+\varphi \]. For an angular displacement\[\theta (|\theta |<\varphi )\], the tension in the string and the velocity of the bob are T and v respectively. The following relations hold good under the above conditions   [IIT 1986; UPSEAT 1998]

A. \[T\cos \theta =Mg\]
B.  \[T-Mg\cos \theta =\frac{M{{v}^{2}}}{L}\]
C. \[2\pi nt+\alpha \] 
D. \[T=Mg\cos \theta \]
Answer» C. \[2\pi nt+\alpha \] 
Discussion
33.

A particle executes simple harmonic motion (amplitude = A) between \[x=-A\] and \[x=+A\]. The time taken for it to go from 0 to A/2 is \[{{T}_{1}}\] and to go from A/2 to A is \[{{T}_{2}}\]. Then  [IIT-JEE (Screening) 2001]

A. \[{{T}_{1}}<{{T}_{2}}\] 
B. \[{{T}_{1}}>{{T}_{2}}\]
C. 1 : 2
D. \[{{T}_{1}}=2{{T}_{2}}\]
Answer» B. \[{{T}_{1}}>{{T}_{2}}\]
Discussion
34.

A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is \[3.92\times {{10}^{-3}}m\]. What must be the least period of these oscillations, so that the object is not detached from the platform [AIIMS 1999]

A. 0.1256 sec  
B. 0.1356 sec
C. \[y=a\sin \omega \,t+b\cos \omega \,t\] 
D. 0.1556 sec
Answer» B. 0.1356 sec
Discussion
35.

Assertion : Resonance is special case of forced vibration in which the natural frequency of vibration of the body is the same as the impressed frequency of external periodic force and the amplitude of forced vibration is maximum.  Reason     :   The amplitude of forced vibrations of a body increases with an increase in the frequency of the externally impressed periodic force. [AIIMS 1994]

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. 10 m
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» D. If the assertion and reason both are false.
Discussion
36.

Assertion : When a simple pendulum is made to oscillate on the surface of moon, its time period increases.  Reason     :   Moon is much smaller as compared to earth.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. Maximum energy  
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» C. Maximum energy  
Discussion
37.

Assertion : The graph between velocity and displacement for a harmonic oscillator is a parabola.  Reason     :   Velocity does not change uniformly with displacement in harmonic motion.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. \[T=2\pi \sqrt{\left( \frac{M}{PAh} \right)}\]
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» F.
Discussion
38.

Assertion : In simple harmonic motion, the velocity is maximum when acceleration is minimum        Reason     :   Displacement and velocity of S.H.M. differ is phase by \[\pi /2\]  [AIIMS 1999]

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. The maximum compression of the spring is \[v\sqrt{m/K}\]
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» C. The maximum compression of the spring is \[v\sqrt{m/K}\]
Discussion
39.

Assertion : The amplitude of an oscillating pendulum decreases gradually with time Reason     : The frequency of the pendulum decreases with time   [AIIMS 2003]

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. Proportional to \[\sqrt{a}\]   
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» D. If the assertion and reason both are false.
Discussion
40.

Assertion : In S.H.M., the motion is ?to and fro? and periodic. Reason     :   Velocity of the particle \[(v)=\omega \sqrt{{{k}^{2}}-{{x}^{2}}}\] (where x is the displacement and k is amplitude) [AIIMS 2002]

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. 2.0 sec 
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» C. 2.0 sec 
Discussion
41.

Assertion : Acceleration is proportional to the displacement. This condition is not sufficient for motion in simple harmonic.  Reason     :   In simple harmonic motion direction of displacement is also considered.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. \[\sin \omega x+\sin 2\omega t\]   
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
Discussion
42.

Assertion : Simple harmonic motion is a uniform motion.  Reason     :   Simple harmonic motion is the projection of uniform circular motion.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. \[2\pi \,Hz\]
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» F.
Discussion
43.

Assertion : All oscillatory motions are necessarily periodic motion but all periodic motion are not oscillatory.  Reason     :   Simple pendulum is an example of oscillatory motion. 

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. 6/5 
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» C. 6/5 
Discussion
44.

A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is [Kerala PET 2005]

A. \[\frac{1}{2\pi \sqrt{3}}\]
B. \[2\pi \sqrt{3}\]
C. The energy associated with the resulting motion is \[(3+2\sqrt{2)}\] times the energy associated with any single motion
D. \[\frac{\sqrt{3}}{2\pi }\]
Answer» D. \[\frac{\sqrt{3}}{2\pi }\]
Discussion
45.

A particle is executing simple harmonic motion with an amplitude of 0.02 metre and frequency 50 Hz. The maximum acceleration of the particle is    [MP PET 2001]

A. \[100\,\,m/{{s}^{2}}\]
B. \[100\,{{\pi }^{2}}\,m/{{s}^{2}}\]
C. Four 
D. \[200\,{{\pi }^{2}}\,m/{{s}^{2}}\]
Answer» E.
Discussion