Two sound waves with wavelengths 5.0 m and 5.5 m respectively, each propagate in a gas with velocity 330 m/s. We expect the following number of beats per second

• 12

• 0

• 1

• 1

A transverse wave propagating along x-axis is represented by:


where x is in metres and t is in seconds. The speed of the wave is

•  m/s
• 
• 
• 

The time of reverberation of a room A is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room A?

• 2

• 4

• 
• 

Which one of the following statements is true?

• Both light and sound waves in air are transverse

• The sound waves in air are longitudinal while the light waves are transverse

• Both light and sound waves in air are longitudinal

• Both light and sound waves in air are longitudinal

The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system?

• 10 Hz

• 20 Hz

• 30 Hz

• 30 Hz

Two soap bubbles coalesce. It is noticed that whilst joined together, the raddii of the bubbles are a and b where a>b. Then the radius of curvature of the interface between the two bubbles will be

• a-b

• a+b

• ab/(a-b)

• ab/(a+b)

If vibration of string is to be two times, then tension in the string must be made

• Eight times

• Four times

• Twice

• Half

A siren emitting sound of frequency 500 Hz is going away from a stationary listener with a speed of 50 m/s, the frequency of sound heard directly from the siren is 

• 286.5 HZ

• 481 Hz

• 434.2 Hz

• 580 Hz

A particle is executing the motion x = αcos(ωt-θ).The velocity of the particle is

• αω cosθ

• αω

• αω sinθ

• None of the above

 A particle is executing two different simple harmonic motions, mutually perpendicular, of different amplitudes and having phase difference of $\frac{\mathrm{\pi }}{2}$ The path of the particle will be

• circular

• straight line

• parabolic

• elliptical