wave_mechanics mock_test_waves_and_acoustics Question 16
Question: While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of 18 cm during winter. Repeating the same experiment during summer, he measures the column length to be $ x $ centimeter for the second resonance. Then
Options:
A) 18 >$ x $
B) $ x $ >54
C) 54>$ x $ >36
D) 36>$ x $ >18
Show Answer
Answer:
Correct Answer: B
Solution:
[b] If$ f=3v _{2}/4l _{2} $ , where $ l _{2}=x $ according to the given situation and $ v _{1}<v _{2} $ as during summer, temperature would be higher, then $ \frac{3v _{2}}{4l _{2}}=\frac{v _{1}}{4l _{1}} $
$ \Rightarrow l _{2}=3l _{1}\times \frac{v _{2}}{v _{1}} $
$ \Rightarrow x=54\times $ (a quantity greater than 1) So x>54.
BETA
