List of top Physics Questions on Waves and Oscillations asked in BITSAT

A damped harmonic oscillator has an amplitude that reduces to half in 10 seconds. What will be the amplitude after 30 seconds?

The following figure depicts a circular motion. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated on the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P can be shown as:

A 1kg mass is attached to a spring of force constant 600N/m and rests on a smooth horizontal surface with other end of the spring tied to a wall as shown in the figure. A second mass of 0.5kg slides on the surface and hits the first at 3m/s. If the masses make a perfectly inelastic collision, then find the amplitude of oscillation of the combined mass and time period of oscillation.

A point particle of mass 0.1kg is executing S.H.M. of amplitude 0.1m. When the particle passes through the mean position, its kinetic energy is 8×10⁻3J. Obtain the equation of motion of this particle if its initial phase of oscillation is 45^∘.

A load of mass m falls from a height h onto the scale pan hanging from a spring as shown in the figure. If the spring constant is k, mass of scale pan is zero, and the mass does not bounce relative to the pan, then the amplitude of vibration is

Vertical displacement of a plank with a body of mass m on it is varying according to law y = sin ω t + √(3)cos ω t. The minimum value of ω for which the mass just breaks contact with the plank and the moment it occurs first after t = 0, are given by

Two oscillators are started simultaneously in same phase. After 50 oscillations of one, they get out of phase by π. The half oscillation. The percentage difference of frequencies of the two oscillators is nearest to:

The following figure depicts a circular motion. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated in the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P can be shown as

A 1kg mass is attached to a spring of force constant 600N m⁻1 and rests on a smooth horizontal surface with other end of the spring tied to a wall as shown in the figure. A second mass of 0.5kg slides along the surface with initial speed 3m s⁻1. If the masses make a perfectly inelastic collision, then find the amplitude and time period of oscillation of the combined mass.

A load of mass \(m\) falls from a height \(h\) onto the scale pan hung from a spring of mass \(m\) and force constant \(k\). If the spring constant is such that the scale pan is zero and the mass does not bounce relative to the pan, then the amplitude of vibration is:

The displacement of a particle is given as a function of time \(t\) by: \[ x = A\sin(2\omega t) + B\sin^2(\omega t) \] Then,

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

A mass m is suspended from a spring of force constant k and another identical spring is fixed to the floor as shown. The time period of small oscillations is:

Which of the following expressions corresponds to simple harmonic motion along a straight line, where x is displacement and a,b,c are positive constants?