Q. 46

# Three resonant fr

A. 30 Hz B. 3rd, 5th and 7th

C. 2nd, 4th and 6th

D. 48 m s1

The highest fundamental frequency is the gcd (greatest common divisor) of all other frequencies.

Since, we know that gcd of 90,150 and 210 is 30, so,

(A)

Now, f1, f2, f3 are integral multiples of f.

1=3

2=5

3=7 (B)

We know that nth overtone is (n+1)th frequency.

So, 3f -> 2nd overtone and 3rd harmonic.

So, 5f -> 4th overtone and 6th harmonic.

So, 7f -> 6th overtone and 7th harmonic. (C)

We know that, 1=

So,

We get, K=48 m/s (D)

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