Oscillations - Online Test (05-01-2017) - Class 11 MCQ

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. the piston and cylinder have equal cross-sectional area A. when the piston is in equilibrium, the volume of the gas is V₀ and its pressure is P₀. The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surroundings, the piston executes a simple harmonic motion with frequency:

A mass M, attached to a horizontal spring, executes SHM with amplitude A₁. When the mass M passes through its mean position, then a smaller mass m is placed over it and both of them move together with amplitude A₂. The ratio of (A₁/A₂) is :

Two sound waves are respectively

y₁= asin(ωt -kx) and  y₂ = bcos(ωt -kx).

The phase difference between the two waves is  :

a particle moves in XY-plane according to the rule x=asinωt and y=acosωt  the particle follows:

The displacement of a particle along X-axis is given by  x= asin²ωt. The motion of the particle corresponds to

In damped oscillations, the amplitude of oscillations is reduced to one-third of its initial value a₀ at the end of 100 oscillations. When the oscillator completes 200 oscillations, its  amplitude must be:

The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. in another 10s, it will decrease to ∝ times its original magnitude, where ∝ equals:

What is the time period of a simple pendulum whose point of suspension is moving horizontally with an acceleration of a inside an accelerated vehicle

A simple pendulum has a period T. it is taken inside a lift moving up with uniform acceleration g/3. now its time period will be

The shape of l - T graph of simple pendulum is,

. Two waves are represented by the equations y₁ = a sin(ωt + kx + 0.57)m and y₂ = a cos (ωt + kx)m, where x is in metre and time is in second. The phase difference between them is

The period of oscillation of the mass M suspended from a spring of negligible mass is T. if along with another mass M is also suspended, the period of oscillation will now be

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

A particle of mass m executes simple harmonic motion with amplitude a and frequency u. The average kinetic energy during its motion from the position of equilibrium to the end is

Two springs of force constant k₁ and k₂ are connected to a mass m as shown. The frequency of oscillation of the mass is f. if both k₁ and k₂ are made four time their original values, the frequency of oscillation becomes

A body of mass 8 kg is suspended through two light springs X and Y connected in series. The readings in X nad Y are respectively

The resultant spring constant of the system of springs shown is

The mass M shown in figure oscillates in SHM with amplitude A. the amplitude of the point P is :

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then which of the following does not change with time:

The displacement of a particle along X-axis is given by x=asin² ωt . The motion of the particle corresponds to:

 In damped oscillations, the amplitude of oscillations is reduced to one-third of its initial value a₀ at the end of 100 oscillations. When the oscillator completes 200 oscillations, its  amplitude must be:

A simple pendulum has a time period T₁. The point of suspension is now moved upwards according to the relation :  y=kt²,(k=1m/s²) where y is the vertical displacement. The time period now becomes T₂. The ratio is: (g = 10 m/s²)

In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is 0.170 s. the frequency of the wave is:

Over-damping results in

Sharpness of resonance is

Motion of ceiling fan

A pendulum clock is observed to give correct time at the equator. What will happen if the same pendulum clock is taken to the pole of the earth?