CBSE Class 11 Physics Oscillations Worksheet Set A

Question- The tension in the string of a simple pendulum is

(a) constant

(b) maximum in the extreme position

(c) zero in the mean position

(d) None of these

Answer- (d)

Question-In a simple harmonic oscillator, at the mean position

(a) kinetic energy is minimum, potential energy is maximum

(b) both kinetic and potential energies are maximum

(c) kinetic energy is maximum, potential energy is minimum

(d) both kinetic and potential energies are minimum

Answer-(c)

Question-A particle moves in a circular path with a uniform speed. Its motion is

(a) periodic

(b) oscillatory

(c) simple harmonic

(d) angular simple harmonic

Answer-(a)

Question-The graph plotted between the velocity and displacement from mean position of a particle executing SHM is

(a) circle

(b) ellipse

(c) parabola

(d) straight line

Answer-(b)

Question-For which of the following conditions will there be an effect on the periodic-time of the swing, if a girl is sitting on the swing ?

(a) Another girl sits by her side

(b) The girl sitting on the swing stands up

(c) Both (a) and (b)

(d) None of these

Answer-(b)

Question-For a body executing simple harmonic motion, which parameter comes out to be non-periodic ?

(a) Displacement

(b) Velocity

(c) Acceleration

(d) None of these

Answer-(d)

Question- Which of the following is a simple harmonic motion?

(a) Particle moving through a string fixed at both ends.

(b) Wave moving through a string fixed at both ends.

(c) Earth spinning about its axis.

(d) Ball bouncing between two rigid vertical walls.

Answer-(b)

Question-Resonance is an example of

(a) tuning fork

(b) forced vibration

(c) free vibration

(d) damped vibration

Answer-(b)

Question- The displacement of a particle in simple harmonic motion in one time period is

(a) A

(b) 2 A

(c) 4 A

(d) Zero

Answer- (d)

Question- A child swinging on swing in sitting position stands up.The time period of the swing will

(a) increase

(b) decrease

(c) remain same

(d) increase if the child is tall and decrease if the child is short.

Answer- (b)

Question- A periodic to-and-fro motion is called

(a) Periodic motion

(b) orbital motion

(c) oscillatory motion

(d) rectilinear motion

Answer-(c)

Question-The physical quantity which remains constant in simple harmonic motion is

(a) kinetic energy

(b) potential energy

(c) restoring force

(d) frequency

Answer-(d)

Question- In simple harmonic motion force is directly proportional to ...X... of the body from the mean position. Here, A refers to

(a) path length

(b) displacement

(c) square of displacement

(d) None of the above

Answer-(b)

Question-Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance h directly above the tunnel, the motion of the particle is

(a) simple harmonic

(b) parabolic

(c) oscillatory

(d) non-periodic

Answer-(c)

Question- The total energy of a particle executing S.H.M. is proportional to

(a) Displacement from equilibrium position

(b) Frequency of oscillation

(c) Velocity in equilibrium position

(d) Square of amplitude of motion

Answer-(d)

Question-A particle moves in a circular path with a continuously increasing speed. Its motion is

(a) periodic

(b) oscillatory

(c) simple harmonic

(d) None of these

Answer-(d)

Question- In case of sustained forced oscillations the amplitude of oscillations

(a) decreases linearly

(b) decreases sinusoidally

(c) decreases exponentially

(d) always remains constant

Answer-(a)

Question-In case of a forced vibration, the resonance wave becomes very sharp when the

(a) quality factor is small

(b) damping force is small

(c) restoring force is small

(d) applied periodic force is small

Answer-(b)

Question-In SHM, the acceleration is directly proportional to :

(a) time

(b) linear velocity

(c) displacement

(d) frequency

Answer-(c)

Question-A simple pendulum oscillates in air with time period T and amplitude A. As the time passes

(a) T and A both decrease

(b) T increases and A is constant

(c) T remains same and A decreases

(d) T decreases and A is constant

Answer-(c) 

Question-For an oscillating simple pendulum, the tension in the string is

(a) maximum at extreme position

(b) maximum at mean position

(c) constant throughout the motion

(d) Cannot be predicted

Answer-(b)

Question-The average acceleration in one time period in a simple harmonic motion is

(a) A ω²

(b) A ω²/2

(c) A ω² / 2

(d) zero

Answer-(d)

Question-For a particle executing simple harmonic motion, which of the following statement is not correct ?

(a) The total energy of the particle always remains the same.

(b) The restoring force of always directed towards a fixed point.

(c) The restoring force is maximum at the extreme positions.

(d) The acceleration of the particle is maximum at the equilibrium position.

 Answer-(d)

Question-Acceleration of a particle executing SHM, at it’s mean position is

(a) infinity

(b) variable

(c) maximum

(d) zero

Answer-(d)

Question-The frequency of the simple harmonic motion attained in forced oscillations, after the forced oscillation die out, is

(a) the natural frequency of the particle

(b) the frequency of the driving force

(c) double the frequency of the driving force

(d) double the natural frequency of the particle

Answer-(b)

Question- The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

(a)π

(b) 0.707 π

(c) zero

(d) 0.5 π

Answer-(d)

Question-Which one of the following equations of motion represents simple harmonic motion?

(a) Acceleration = – k(x + a)

(b) Acceleration = k(x + a)

(c) Acceleration = kx

(d) Acceleration = – k₀x + k₁x²
where k, k₀, k₁ and a are all postive.

Answer-(a)

Question-Which of the following is true about total mechanical energy of SHM ?

(a) It is zero at mean position.

(b) It is zero at extreme position.

(c) It is always zero.

(d) It is never zero.

Answer-(d)

Question-Which of the following is a non-periodic motion as represented by the equation? (ω is any positive constant and t is time)

(a) A sin (ωt + Φ)

(b) A cos (ωt + Φ)

(c) e^–2ωt

(d) All of these

Answer-(c)

Question- If a body is executing simple harmonic motion, then

(a) at extreme positions, the total energy is zero

(b) at equilibrium position, the total energy is in the form of potential energy

(c) at equilibrium position, the total energy is in the form of kinetic energy

(d) at extreme positions, the total energy is infinite

Answer-(c)

Question- A spring-mass system oscillates with a frequency v. If it is taken in an elevator slowly accelerating upward, the frequency will

(a) increase

(b) decrease

(c) remain same

(d) become zero

Answer-(c)

Question-A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a function of displacement x. Which of the following statement is true?

(a) P.E. is maximum when x = 0.

(b) K.E. is maximum when x = 0.

(c) T.E. is zero when x = 0.

(d) K.E. is maximum when x is maximum.

 Answer-(b)

Question- Motion of an oscillating liquid column in a U-tube is

(a) periodic but not simple harmonic

(b) non-periodic

(c) simple harmonic and time period is independent of the density of the liquid.

(d) simple harmonic and time-period is directly proportional to the density of the liquid.

 Answer-(c)

Question-Oscillation and vibration both are ...X... . Here, X refers to

(a) different concepts

(b) same concepts

(c) straight line motions

(d) None of these

Answer-(b)

Question-The necessary condition for the bob of a pendulum to execute SHM is

(a) the length of pendulum should be small

(b) the mass of bob should be small

(c) amplitude of oscillation should be small

(d) the velocity of bob should be small

Answer-(c)

Question-The ratio of energies of oscillations of two exactly identical pendulums oscillating with amplitudes 5 cm and 10 cm is :

(a) 1 : 2

(b) 2 : 1

(c) 1 : 4

(d) 4 : 1

Answer-(c) 

Question- In a periodic motion, displacement is a periodic function of time given by

(a) f (t) = A cos ωt

(b) f (t) = sin ωt

(c) f (t) = A sin ωt + A cos ωt

(d) All of these

Answer-(d)

Question- A simple pendulum is set into vibrations. The bob of the pendulum comes to rest after some time due to

(a) Air friction

(b) Moment of inertia

(c) Weight ofthe bob

(d) Combination of all the above

Answer-(a)

Question- Choose the correct statement

(a) Time period of a simple pendulum depends on amplitude

(b) Time shown by a spring watch varies with acceleration due to gravity g.

(c) In a simple pendulum time period varies linearly with the length of the pendulum

(d) The graph between length of the pendulum and time period is a parabola.

Answer-(d) 

Question- Which of the following expressions is that of a simple harmonic progressive wave ?

(a) a sin ωt

(b) a sin ωt) cox kx

(c) a sin ωt – kx)

(d) a cos kx

Answer-(c)

Question- The motion which is not simple harmonic is

(a) vertical oscillations of a spring

(b) motion of simple pendulum

(c) motion of a planet around the Sun

(d) oscillation of liquid column in a U-tube

Answer-(c)

Question- Which of the following will change the time period as they are taken to moon?

(a) A simple pendulum

(b) A physical pendulum

(c) A torsional pendulum

(d) A spring-mass system

Answer-(a) 

Question-  If a body oscillates at the angular frequency ω_d of the driving force, then the oscillations are called

(a) free oscillations

(b) coupled oscillations

(c) forced oscillations

(d) maintained oscillations

Answer-(c)

Question- A system exhibiting SHM must possess

(a) inertia only

(b) elasticity as well as inertia

(c) elasticity, inertia and an external force

(d) elasticity only

Answer-(b)

Question- What is the amplitude of simple harmonic motion at resonance in the ideal case of zero damping?

(a) Zero

(b) – 1

(c) 1

(d) Infinite

Answer-(d)

Question- Force acting in simple harmonic motion is always

(a) directly proportional to the displacement

(b) inversely proportional to the displacement

(c) directly proportional to the square of displacement

(d) inversely proportional to the square of displacement

Answer- (a)

Question-  If < E > and < U > denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is

(a) < E > = < U >

(b) < E > = 2< U >

(c) < E > = –2< U >

(d) < E > = – < U >

Answer- (a)

Question- The potential energy of a simple pendulum is maximum when it is

(a) at the turning points of the oscillations

(b) at the equilibrium

(c) in between the above two cases

(d) at any position, it has always a fixed value

Answer-(a)

Question- The total energy of the particle executing simple harmonic motion of amplitude A is 100 J. At a distance of 0.707 A from the mean position, its kinetic energy is

(a) 25 J

(b) 50 J

(c) 100 J

(d) 12.5 J

Answer-(b)