A long taut string is connected to a harmonic oscillator of frequency `f` at one end. The oscillator oscillates with an amplitude `a_(0)` and delivers power `P_(0)` to the string. Due to dissipation of energy the amplitude of wave goes on decreasing with distance `x` from the oscillator given as `a = a_(0)e^( –kx)`. In what length of the string `(3/4)th` of the energy supplied by the oscillator gets dissipated?

A string is fixed at both end transverse oscillations with amplitude a_(0) are excited. Which of the following statements are correct ?

A string is fixed at both end transverse oscillations with amplitude a_(0) are excited. Which of the following statements are correct ?

A transverse harmonic wave is propagating along a taut string. Tension in the string is 50 N and its linear mass density is 0.02 kg m^( –1) The string is driven by a 80 Hz oscillator tied to one end oscillating with an amplitude of 1mm. The other end of the string is terminated so that all the wave energy is absorbed and there is no reflection (a) Calculate the power of the oscillator. (b) The tension in the string is quadrupled. What is new amplitude of the wave if the power of the oscillator remains same? (c) Calculate the average energy of the wave on a 1.0 m long segment of the string.

In damped oscillations, the amplitude of oscillation is reduced to one - third of its initial value a_(0) at the end of 100 oscillations. When the oscillator completes 200 oscillations, the amplitude must be

A simple pendulum of length 1 m, and energy 0.2 J, oscillates with an amplitude 4 cm. When its length is doubled then the energy of oscillation will be

The maximum acceleration of a simple harmonic oscillator is a_(0) and maximum velocity is v_(0) . What is the amplitude?

A body of mass 40 kg is tied at one end of a string of length l. The body is oscillating in a vertical plane with angular amplitude theta_0 . What is the tension in the string when it makes and angle theta with the vertical ? If the breaking load for the string is 80 kgf, what can be the maximum angular amplitude of the body ?