Question

The time period of a body under S.H.M. is represented by : T = P^a D^b S^g where P is pressure, D is density and S is surface tension, then values of a, b and g are –

(Surface tension $S = \frac{F}{\mathcal{l}}$)

• A. $- \frac{3}{2},\frac{1}{2},1$
• B. 1 , 2 , $\frac{1}{3}$
• C. –1,–2 , 3
• D. $\frac{1}{2},\frac{- 3}{2},\frac{- 1}{2}$

Answer 1

Answer: (A)

$- \frac{3}{2},\frac{1}{2},1$

Answer 2

$\text{T } = \ (\text{M}\text{L}^{\text{-1}}\text{ T}\text{ }^{\text{-2}})\alpha\ (ΜL^{- 3})\beta\ \ (ΜΤ\ ^{- 2})\gamma$

 a + b + g = 0 ……(i)

–a – 3b = 0 ……(ii)

– 2a – 2g = 1 ……(iii)