Physics And Measurement Question 263
Question: The period of a body under SHM is represented 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.
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:
[a] $ T={{[M{{L}^{-1}}{{T}^{-2}}]}^{a}}{{[{{L}^{-3}}M]}^{b}}{{[M{{T}^{-2}}]}^{c}} $
$ \Rightarrow b+a+c=0,-a-3b=0,-2a-2c=1 $
$ \Rightarrow a=-\frac{3}{2},b=\frac{1}{2},c=1 $
