MEDIUM
JEE Main
IMPORTANT
Earn 100

Two successive resonance frequencies in an open organ pipe are 1620 Hz and 2268 Hz. Find the length of the tube. The speed of sound in air is 324 ms-1.

Important Questions on Sound Waves

EASY
JEE Main
IMPORTANT
A piston is fitted in a cylindrical tube of small cross section with the other end of the tube open. The tube resonates with a tuning fork of frequency 512 Hz. The piston is gradually pulled out of the tube and it is found that a second resonance occurs when the piston is pulled out through a distance of 32.0 cm. Calculate the speed of sound in the air of the tube.
HARD
JEE Main
IMPORTANT
A U-tube having unequal arm-lengths has water in it. A tuning fork of frequency 440 Hz can set up the air in the shorter arm in its fundamental mode of vibration and the same tuning fork can set up the air in the longer arm in its first overtone vibration. Find the length of the air columns. Neglect any end effect and assume that the speed of sound in air =330 ms-1.
HARD
JEE Main
IMPORTANT
Consider the situation shown in the figure. The wire which has a mass of 4.00 g oscillates in its second harmonic and sets the air column in the tube into vibrations in its fundamental mode. Assuming that the speed of sound in air is 340 m s-1, find the tension in the wire.

Question Image

HARD
JEE Main
IMPORTANT
A 30.0 cm long wire having a mass of 10.0 g is fixed at the two ends and is vibrated in its fundamental mode. A 50.0 cm long, closed organ pipe, placed with its open end near the wire, is set up into resonance in its fundamental mode by the vibrating wire. Find the tension in the wire. The speed of sound in air =340 m s-1.
MEDIUM
JEE Main
IMPORTANT

Show that if the room temperature changes by a small amount from T to T+ΔT, the fundamental frequency of an organ pipe changes from ν to ν+Δν, where,

Δvv=12ΔTT.

MEDIUM
JEE Main
IMPORTANT
The fundamental frequency of a closed pipe is 293 Hz, when the air in it is at a temperature of 20°C. What will be its fundamental frequency when the temperature changes to 22°C?
EASY
JEE Main
IMPORTANT
Calculate the frequency of beats produced in the air when two sources of sound are activated, one emitting a wavelength of 32 cm and the other, of 32.2 cm. The speed of sound in air is 350 m s-1.
EASY
JEE Main
IMPORTANT
A tuning fork of frequency 256 Hz produces 4 beats per second with a wire of length 25 cm vibrating in its fundamental mode. The beat frequency decreases when the length is slightly shortened. What could be the minimum length by which the wire can be shortened, so that it produces no beats with the tuning fork?