Question

A tuning fork C produces 8 beats per second with another tuning fork D of frequency 340 Hz. When the prongs of tuning fork C are filed a little, the number of beats produced per second decreases to 4. Find the frequency of the tuning fork C before filing its prongs. (Ans: $n_{c}$ = 332 Hz)

Answer 1

case 1 :- before filling prongs
frequency of tuning fork D , $n_D=340Hz$
running fork C produces 8 beat per second with running fork D ,
so, frequency of tuning fork C , $n_C$ = (340 ± 8)Hz

so, frequency of tunning fork C before filing the prongs = 332Hz or 348 Hz

Case 2 :- after filling prongs
number of beats per second = 4
so, frequency of tunning fork C after filling prongs = (340 ± 4) Hz = 344Hz or 336 Hz

we know, when prongs are filled in tunning fork, frequency of tuning fork increases.

if we choose frequency of tunning fork C 348HZ then after filling prongs Frequency should be more than 348Hz but here given 344 or 336 Hz

hence, frequency of tunning fork C ≠ 348 Hz
so, frequency of tunning fork C = 332Hz

Answer 2

Answer:

Answer

16

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Verified answer

case 1 :- before filling prongs

frequency of tuning fork D ,

n_D=340Hz

running fork C produces 8 beat per second with running fork D ,

so, frequency of tuning fork C ,

= (340 ± 8)Hz

n_C

so, frequency of tunning fork C before filing the prongs = 332Hz or 348 Hz

Case 2 :- after filling prongs

number of beats per second = 4

so, frequency of tunning fork C after filling prongs = (340 ± 4) Hz = 344Hz or 336 Hz

we know, when prongs are filled in tunning fork, frequency of tuning fork increases.

if we choose frequency of tunning fork C 348HZ then after filling prongs Frequency should be more than 348Hz but here given 344 or 336 Hz

hence, frequency of tunning fork C ≠ 348 Hz

ANSWER

Explanation:

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