Wave Mechanics Question 890

Question: Tuning fork $ F _{1} $ has a frequency of 256 Hz and it is observed to produce 6 beats/second with another tuning fork $ F _{2} $ . When $ F _{2} $ is loaded with wax, it still produces 6 beats/second with $ F _{1} $ . The frequency of $ F _{2} $ before loading was

[MP PET 1990]

Options:

A) 253 Hz

B) 262 Hz

C) 250 Hz

D) 259 Hz

Show Answer

Answer:

Correct Answer: B

Solution:

nA = Known frequency = 256 Hz, nB = ? x = 6 bps, which remains the same after loading. Unknown tuning fork F2 is loaded so nB¯ Hence nA ? nB¯ = x … (i) Wrong nB¯ ? nA = x … (ii) Correct

Therefore nB = nA + x = 256 + 6 = 262 Hz.