Home Physics Wave and Sound Mix 41 forks are so arranged that each produces …
Physics Wave and Sound Mix MCQ (Single Correct)

41 forks are so arranged that each produces 5 beat/sec when sounded with its near fork. If the frequency of last fork is double the frequency of first fork, then the frequencies of the first and last fork respectively

A
200, 400
B
205, 410
C
195, 390
D
100, 200

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Text Solution

Verified by Experts
The correct answer is:
A

Let the frequency of first tuning fork = n and that of last = 2n

n, n + 5, n + 10, n + 15 …… 2n this forms A.P.

Formula of A.P l = a + (N – 1) r where l = Last term, a = First term, N = Number of term, r = Common difference

2n = n + (41 – 1) 5

2n = n + 200

n = 200 and 2n = 400

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