HARD
Physics
IMPORTANT
Earn 100

A student uses an audio oscillator of adjustable frequency to measure the depth of a water well. The student reports hearing two successive resonances at 52.0 Hz and 60.0 Hz.

How deep is the well?

Important Questions on Superposition and Standing Waves

EASY
Physics
IMPORTANT

A student uses an audio oscillator of adjustable frequency to measure the depth of a water well. The student reports hearing two successive resonances at 52.0 Hz and 60.0 Hz.

How many antinodes are in the standing wave at 60.0 Hz ?  Take the speed of sound in air as 336 m/s.

EASY
Physics
IMPORTANT

A section of drainage culvert 1.23 m in length makes a howling noise when the wind blows across its open ends.

Determine the frequencies of the first harmonics of the culvert if it is cylindrical in shape and open at both ends. Take v=343 m/s as the speed of sound in air.

EASY
Physics
IMPORTANT

A section of drainage culvert 1.23 m in length makes a howling noise when the wind blows across its open ends.

What are the three lowest natural frequencies of the culvert if it is blocked at one end?

MEDIUM
Physics
IMPORTANT
Find the number of possible natural oscillations of air column in a pipe whose frequencies lie below f0=1250 Hz. The length of the pipe is l=85 cm. The velocity of sound is v=340 m s-1. Consider the two cases :
(a) The pipe is closed from one end (b) The pipe is opened from both ends.
MEDIUM
Physics
IMPORTANT
In a Kundt's tube experiment, with a wooden rod 170 cm long, clamped at the middle, the lycopodium powder gets heated up at regular intervals of 13.4 cm, the experiment being performed with air. If the frequency of vibrations be 1270 Hz, find the velocity of sound in air and in the wooden rod.
MEDIUM
Physics
IMPORTANT
A Kundt's tube experiment is conducted with a 1 m long glass rod, twice, one with air and the other with hydrogen gas filled in the tube. In the first case, there were 11 heaps of lycopodium powder within a length of 64.4 cm between the first and the last. The corresponding parameters in the second case are 5 nodal heaps within 99.7 cm length. Find the velocity of sound in glass and in hydrogen, if that in air be 335 m/s.
MEDIUM
Physics
IMPORTANT
A tube of certain diameter and of length 48 cm is open at both ends. Its fundamental frequency of resonance is found to be 320 Hz. The velocity of sound in air is  320 m/s. Estimate the diameter of the tube. One end of the tube is now closed. Calculate the lowest frequency of resonance for the tube.
MEDIUM
Physics
IMPORTANT
An open pipe 40 cm long and a closed pipe 31 cm long, both having same diameter, are producing their first overtone, and these are in unison. Determine the end correction of these pipes.