Two Springs Of Constants k1 and k2 have Equal Highest Velocities While Executing S.H.M. If Their Masses Are Equal, The Ratio Of Their Amplitudes Will Be

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?

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)

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

At which temperature will the velocity of sound at 27^oC become double?

The equation of a travelling wave is

Where y is the microns, t in seconds and x in metres. The ratio of the maximum particle velocity and velocity of the wave is

Due to Doppler effect, the shift in the wavelength observed is 0.1 Å, for a star producing a wavelength 6000 Å. The velocity of recession of the star will be  

A particle, with restoring force proportional to displacement and damping force proportional to velocity is subjected to a force F sin ωt. If the amplitude of the particle is maximum at ω = ω₁ and its energy is maximum at ω = ω₂, then (ω₀ is the angular frequency of natural oscillations of the particle)

A vehicle with a horn of frequency n is moving with a velocity of 30 ms^–1in a direction perpendicular to the straight line joining the observer and the vehicle. The observer perceives the sound to have a frequency (n + n₁). If the sound velocity in air is 300 ms^–1,  

The velocity of sound is the greatest is