Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousMedium2 minQB

PhysicsMediumsingle choice

A gas bubble oscillates with a time period T proportional to $P^{a} d^{b} E^{c}$ where P is pressure, d is the density and E is the energy. The values of $a, b & c$ are

Options:

Answer:

Solution:

$[T] = [P]^{a} [d]^{b} [E]^{c}$

$M^{0} L^{0} T^{1} = (ML^{- 1} T^{- 2})^{a} (ML^{- 3})^{b} (ML^{2} T^{- 2})^{c}$

$a + b + c = 0$

$- a - 3 b + 2 c = 0 \dots$

(ii) $- 2 a - 3 b - 2 c = 1$

$\Rightarrow a = \frac{- 5}{6}, b = \frac{1}{2}, c = \frac{1}{3}$

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...