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JEE Main 202226 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
26 June
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2022 · 26 June · Evening Shift · Physics · Waves and Sound

A set of 20 tuning forks is arranged in a series of increasing...

A set of 2020 tuning forks is arranged in a series of increasing frequencies. If each fork gives 44 beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of the first, then the frequency of last fork is _____ HzHz.A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork gives 4 beats with respect to

Correct answer

0

Step-by-step solution

A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork gives 4 beats with respect to

Each fork produces 44 beats per second with the previous means each fork has frequency 4Hz4Hz more than the previous.

Using relation, flast=ffirst+(N−1)x{f}_{last} = {f}_{first} + \left(N - 1\right)x, here, NN is the number of tuning fork in series and xx is beat frequency between two successive forks.

2f0=f0+(20−1)42{f}_{0} = {f}_{0} + \left(20 - 1\right)4

⇒2f0=f0+76⇒f0=76Hz⇒ 2{f}_{0} = {f}_{0} + 76 ⇒ {f}_{0} = 76Hz

Frequency of last tuning fork is 152Hz152Hz.

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