Waves And Oscillations

A heavy brass sphere is hung from a weightless inelastic spring and as a simple pendulum its time period of oscillation is T. When the sphere is immersed in a non-viscous liquid of density 1/10 that of brass, it will act as a simple pendulum of period :

An open pipe of length 33 cm resonates with frequency of 1000 Hz. If the speed of sound is then this frequency is

Two pendulum have time period T and they start SHM at the same time form the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation

A disc of radius a and mass m is pivoted at the rim and is set in small oscillation. If a simple pendulum have the same period as that of the disc, then the length of the simple pendulum should be