If A Spring Extend By x on Loading, Then The Energy Stored In The Spring Is (T is The Tension In The Spring And k its Force Constant)

The time taken by a particle executing simple harmonic motion of time period T to move from the mean position to half the maximum displacement is

To raise the pitch of a stringed musical instrument, the player can

One end a long metallic wire of length L is tied to the ceiling. The other end is tied to a massless spring of spring constant K. A mass m hangs freely from the free end of the spring. The area of cross-section and Young’s modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period given by

A weight is attached to the free end of a sonometer wire. Resonance occurs at a length of 40 cm of the wire with a tuning fork of frequency 512 Hz. The weight is then immersed wholly in water, the resonant length is reduced to 30 cm. The relative density of the weight is

A particle is executing simple harmonic motion along the x-axis with amplitude 4 cm and time period 1.2 s. The minimum time taken by the particle to move from x = +2 cm to x = +4 cm and back again is

Two waves are represented by the following equations:

The ratio of intensities I₂/I₁ will be

The velocity of sound in a diatomic gas is 300 ms^–1. What is the rms velocity of its molecules?  

The length of a sonometer wire AB is 100 cm. Where should the two bridges be placed from end A to divide the wire in three segments whose fundamental frequencies are the ratio of 1:2:3?

A toothed wheel is rotated at 120 r.p.m. A post card is placed against the teeth. How many teeth must the wheel have to produce a note whose pitch is the same as that of a tuning fork of frequency 256 Hz?

A pulse travels along a stretched string and reaches the fixed end of the string. It will be reflected back with