Wave Mechanics Question 527
Question: The bulk modulus of a spherical object is ‘B’. If it is subjected to uniform pressure ‘p’, the fractional decrease in radius is
Options:
A) $ \frac{B}{3p} $
B) $ \frac{3p}{B} $
C) $ \frac{p}{3p} $
D) $ \frac{p}{B} $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Bulk modulus is given by $ B=\frac{p}{( \frac{\Delta V}{V} )},or\frac{\Delta V}{V}=\frac{p}{B} $
$ 3\frac{\Delta R}{R}=\frac{p}{B} $ (here, $ \frac{\Delta R}{R}= $ fractional decreases in radius)
$ \Rightarrow \frac{\Delta R}{R}=\frac{p}{3B} $
BETA
