A transverse wave in propagating on a stretched string of mass per unit length 32 g/m. The tension on the string is 80 N. The speed of the wave over the string is

• 5/2 m/s

• $\sqrt{5/2} \mathrm{m}/\mathrm{s}$

• 50 m/s

• 2/5 m/s

Consider the propagating sound (with velocity 330 m/s) in a pipe of length 1.5 m with one end closed and the other open. The frequency associated with the fundamental mode is

• 11 Hz

• 55 Hz

• 110 Hz

• 165 Hz

A standing wave propagating with velocity 300 m/s in an open pipe of length 4 m has four nodes. The frequency of the wave is

• 75 Hz

• 100 Hz

• 150 Hz

• 300 Hz

Consider the vehicle emitting sound wave of frequency 700 Hz moving towards an observer at a speed 22 m/s. Assuming the observer as well as the medium to be at rest and velocity of sound in the medium to be 330 m/s, the frequency of sound as measured by the observer is

• 2525/4 Hz

• 1960/3 Hz

• 2240/3 Hz

• 750 Hz

Which of the following statement is correct ?

• Light waves are transverse but sound waves are waves on strings are longitudinal

• Sound waves and waves on a string and transverse but light waves are longitudinal

• Light waves and waves on a string are transverse but sound waves are longitudinal

• Light waves and sound waves are transverse but waves on string are longitudinal

The phase velocity of a wave described by the equations $\mathrm{\psi } = {\mathrm{\psi }}_0 \sin \left(\mathrm{kx} + \mathrm{\omega t} + \mathrm{\pi }/2\right)$ is

• x/t

• ψ₀/ω

• ω/k

• $\mathrm{\pi }/2\mathrm{k}$

Wavelength of the wave with 30 MHz frequency is

• 1 cm

• 10 cm

• 100 cm

• 1000 cm

The apparent charige in frequency of sound due to the relative motion between the observer and the source of sound is called

• Doppler effect

• Phenomenon of beats

• Phenomenon of stationary waves

• Diffraction of sound waves

Pick out the condition which is not required for the formation of stationary waves.

• The medium on which waves are formed should be bound medium

• Both the waves should have same frequency

• Both the waves should have same velocity

• The waves should travel in same direction

The harmonic mode which resonates with a closed pipe of length 22 cm, when excited by a 1875 Hz source and the number of nodes present in it respectively are (velocity of sound in air = 330 ms^-1)

• 1^st, 1

• 3^rd, 1

• 5^th, 3

• 5^th, 4