SHM Practice Level - 1 - Class 11 MCQ

A simple pendulum oscillates slightly above a largehorizontal metal plate. The bob is given a charge. Thetime period.

The variation of velocity of a particle executing SHMwith time is shown in Fig. The velocity of the particlewhen a phase change of p / 6 takes place from theinstant it is at one of extreme position will be

A block of mass 1 kg hangs without vibrating at theend of a spring whose force constant is 200 N/m andwhich is attached to the ceiling of an elevator. Theelevator is rising with an upward acceleration of g/3when the acceleration suddenly ceases. The angularfrequency of the block after the acceleration ceases is

A vertical spring carries a 5 kg body and is hanging inequilibrium, an additional force is applied so that thespring is further stretched. When released from thisposition, it performs 50 complete oscillations in 25 s,with an amplitude of 5 cm. The additional force applied is

A particle moves with a simple harmonic motion in astraight line. In the first second starting from rest ittravels a distance a and in the next second it travels adistance b in the same direction. The amplitude of themotion is

Two simple harmonic motions are represented byequations

tWhat is the phase difference between their velocities?

A simple pendulum is making oscillations with its bobimmersed in a liquid of density n times less than thedensity of the bob. What is its period?

The potential energy of a particle executing SHM alongSthe x-axis is given by U = U₀ - U₀ cos ax. What is theperiod of oscillation?

A particle executing SHM of amplitude ‘a’ has adisplacement a/2 at t = T/4 and a negative velocity.The epoch of the particle is

A block of mass 4 kg hangs from a spring of springconstant k = 400 N/m. The block is pulled down through15 cm below and released. What is its kinetic energy when the block is 10 cm above the equilibrium position?

A body of mass 100 g attached to a spring executes SHM of period 2 s and amplitude 10 cm. How long a time is required for it to move from a point 5 cm belowits equilibrium position to a point 5 cm above it, whenit makes simple harmonic vertical oscillations(take g = 10 m/s²)?a. 0.6 s b. 1/3 sc.

A particle executing SHM has velocities u and v and accelerations a and b in two of its positions. Find the distance between these two positions.

Two particles are executing identical simple harmonicmotions described by the equations, x₁ = a cos (ωt + π / 6) and x₂ = a cos (ωt + π / 3) .The minimuminterval of time between the particles crossing therespective mean positions is

The K.E. and P.E. of a particle executing SHM with amplitude A will be equal when its displacement is:

A body is performing simple harmonic motion with amplitude a and time period T. Variation of its acceleration (f) with time (t) is shown in Fig. If at time t, velocity of the body is v, which of the following graphs is correct ?

A particle is performing SHM. Its kinetic energy K varies with time t as shown in the figure. Then

Two particles P and Q describe SHM of same amplitudea and frequency v along the same straight line. The maximum distance between the two particles is .The initial phase difference between them is

Two masses m₁ and m₂ are suspended together by amassless spring of constant k. When the masses are in equilibrium, m, is removed without disturbing the system; the amplitude of vibration is:

A body of mass m is released from a height h to a scale pan hung from a spring. The spring constant of the spring is k, the mass of the scale pan is negligibleand the body does not bounce relative to the pan; thenthe amplitude of vibration is

Frequency of a particle executing SHM is 10 Hz. Theparticle is suspended from a vertical spring. At thehighest point of its oscillation the spring is unstretched.Maximum speed of the particle is (g = 10 m/s²)

The string of a simple pendulum is replaced by a uniformrod of length L and mass M while the bob has a mass m. It is allowed to make small oscillations. Its time period is

A uniform semicircular ring having mass m and radiusr is hanging at one of its ends freely as shown in Fig.The ring is slightly disturbed so that it oscillates in itsown plane. The time period of oscillation of the ring

Two springs with negligible masses and force constants k₁ = 200 N/m and k₂ = 160 N/m are attached to theblock of mass m = 10 kg as shown in the Fig. Initiallythe block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time t = 0, sharp impulse of 50 Ns is given to the blockwith a hammer along the spring

A thin uniform vertical rod of mass m and length I pivotedpoint O is shown in Fig. The combined stiffness of thesprings is equal to k. The mass of the spring isnegligible. The frequency of small oscillation is

A particle executes SHM with time period 8 s. Initially,it is at its mean position. The ratio of distance travelledby it in the 1st second to that in the 2 nd second is

A particle executes S. H. M. starting from its meanposition at t = 0. If its velocity is , when it is ata distance b from the mean position,when  ,the time taken by the particle to move from b to theextreme position on the same side is

In a certain oscillatory system (particle is performingSHM), the amplitude of motion is 5 m and the timeperiod is 4 s. The minimum time taken by the particlefor passing between points, which are at distances of4 m and 3 m from the centre and on the same side ofit will approximatelv be