An organ pipe closed at one end restonates with a tuning fork of frequencies 180 Hz and 300 Hz it will also resonate with tuning fork of frequencies
A
630 Hz
B
420 Hz
C
480 Hz
D
540 Hz
Text Solution
Verified by Experts
The correct Answer is:
B
Resonate frewuencie are `n_(1)f` and `n_(2)f` where `n_(1)` and `n_(2)` ar intergers and f is fundamental frequency. Here `n_(1)f=180` and `n_(2)f` = 300 `therefore" "(n1)/(n_(2))=(180)/(300)=(18)/(30)=3/5 thereforen_(1)=3 and n_(2)=5` `therefore" "3f=180because f=(180)/3=60Hz` Possible harmonics in the case of closed and organ pipe is 1,3,5,7,9,11,13, ...... The corresponding frequencies are 60,180,300,420, .....
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