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: = 332 Hz)
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case 1 :- before filling prongs
frequency of tuning fork D ,
running fork C produces 8 beat per second with running fork D ,
so, frequency of tuning fork 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
frequency of tuning fork D ,
running fork C produces 8 beat per second with running fork D ,
so, frequency of tuning fork 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
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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
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