Waves & Oscillations PYQ

Two waves of same frequency and amplitude travel in opposite directions. The resulting pattern is:

A spring-mass system oscillates with angular frequency ω. If the mass is doubled and the spring constant is halved, the new angular frequency is:

The general equation of a progressive wave travelling in the positive x-direction is:

An organ pipe closed at one end resonates at frequencies 300 Hz and 500 Hz. The fundamental frequency of the pipe is:

The equation of a progressive wave is y = 5sin(100πt - 0.4πx). The velocity of the wave is:

Two tuning forks A and B produce 4 beats per second. Fork A has frequency 256 Hz. When B is loaded with wax, beats become 6 per second. The frequency of B is:

A simple pendulum has time period T. If its length is increased by 21% the new time period is:

The speed of sound in air at 0°C is 332 m/s. The speed at 20°C is approximately:

The phase difference between two points separated by 1 m on a wave of wavelength 4 m is:

A string of length 1 m and mass 5 g is fixed at both ends. The speed of transverse waves on the string is 100 m/s. The fundamental frequency is: