Home
Class 11
PHYSICS
Two tuning forks A and B, when vibrated ...

Two tuning forks A and B, when vibrated simultaneously, produce 5 beats per second . 40 cm and 40.5 cm lengths of a sonometer wire, kept in the same tension, are tuned with the forks A and B respectively. Find out the frequencies of the two tuning forks .

Text Solution

Verified by Experts

According to the question,
`n_(A) = (1)/(2 xx 40) sqrt((T)/(m)) and n_(B) = (1)/(2 xx 40.5 sqrt((T)/(m))`
`:. (n_(A))/(n_(B)) = (40.5)/(40) = (81)/(80) , ` clearly, `n_(A) gt n_(B)`
As the number of beats per second is 5, we have
`n_(A) - n_(B) = 5 "or" , (n_(A))/(n_(B)) - 1 = (5)/(n_(B))` or, `(81)/(80) - 1 = (5)/(n_(B))`
or, `(1)/(80) = (5)/(n_(B)) or , n_(B) = 400 ` Hz
`:. n_(A) = n_(B) + 5 = 400 + 5 = 405 ` Hz
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION OF WAVES

    CHHAYA PUBLICATION|Exercise Higher order thinking skill (hots) questions|21 Videos

  • SUPERPOSITION OF WAVES

    CHHAYA PUBLICATION|Exercise Multiple choice questions (Based on standing wave)|5 Videos

  • STATICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|3 Videos

  • THERMOMETRY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos

Similar Questions

Explore conceptually related problems

2 wires of length 78 cm and 80 cm of a sonometer are kept at the same tension. A tuning fork produces 4 beats per second with each of them . Find out the frequency of the tuning fork .

Two tuning forks A and B, when vibrated simultaneously, produce 5 beats per second. The forks produce resonances respectively with 36 cm and 37 cm long air columns of a tube closed at one end. What are the frequencies of the tuning forks ?

Two tuning forks vibrating simultaneously produce 5 beats per second. Frequency of one fork is 275 Hz . A small wax is attached to the other fork and 2 beats per second are produced when the two vibrate simultaneously. Find the frequency of the other fork.

Two tuning forks, vibrating simultaneously, produce 6 beats per second. The first of them has a frequency of 312 Hz . Some amount of wax is added to one arm of the second tuning fork , the number of beats per second reduces to 3 . Find out the frequency of this second tuning fork . Is it possible to increase the beat frequency to 6 per second by adding some more wax to the second tuning fork ?

When two tuning forks are vibrated simultaneously, 4 beats are heard per second. The fork is waxed slightly and then 6 beats are heard per second when both are vibrated again simultaneously . Find out the frequency of the second fork . Given the frequency of the first fork is 510 Hz .

24 tuning forks are arranged in the ascending order of their frequencies. Each fork produces 4 beats per second with its immediately preceding fork . The last fork emits an octave to that emitted by the first one. Find out the frequencies of the first and the last tuning forks.

A tuning fork is vibrated together with a length of 100 cm and then with a length of 95 cm, of a stretched sonometer wire. 10 beats are produced per second in each case. Find the frequency of the tuning fork .

Two tuning forks of frequencies n_(1) and n_(2) produces n beats per second. If n_(2) and n are known, n_(1) may be given by

A 75 cm long stretched string is tuned with a tuning fork. If the length of the string is reduced by 3 cm, it produces 6 beats with the tuning fork per second. Find out the frequency of the tuning fork.

The lengths of two taut strings are 70 cm and 60 cm respectively . If each of the two strings is sounded with a tuning fork, 5 beats are produced per second. What is the frequency of the tuning fork ?