Physics And Measurement Question 80
Question: The period of a body under SHM i.e. presented by $ T=P^{a}D^{b}S^{c} $ ; where $ P $ is pressure, $ D $ is density and $ S $ is surface tension. The value of $ a,b $ and $ c $ are
[CPMT 1981]
Options:
A) $ -\frac{3}{2},\frac{1}{2},1 $
B) $ -1,-2,3 $
C) $ \frac{1}{2},-\frac{3}{2},-\frac{1}{2} $
D) $ 1,2,\frac{1}{3} $
Show Answer
Answer:
Correct Answer: A
Solution:
By substituting the dimension of each quantity we get
$ T={{[M{{L}^{-1}}{{T}^{-2}}]}^{a}}{{[{{L}^{-3}}M]}^{b}}{{[M{{T}^{-2}}]}^{c}} $
By solving we get a = - 3/2, b = 1/2 and c = 1
