First slide

Dimensions of physical quantities

Question

If $p$ represents radiation pressure, $c$ represent speed of light and $Q$ represents radiation energy striking a unit area per second, then non-zero integers $x, y a n d z$ such that $p^{x} Q^{y} c^{z}$ is dimensionless are

Moderate

A

x=1, y=1, z=-1
B

x=1, y=-1, z=1
C

x=-1, y=1, z=1
D

x=1, y=1, z=1

Solution

Since, $p^{x} Q^{y} c^{z}$ is dimensionless. Therefore,
${[{ML}^{- 1} T^{- 2}]}^{x} {[{MT}^{- 3}]}^{y} {[{LT}^{- 1}]}^{z} = [M^{0} L^{0} T^{0}]$
Only option (2) satisfies this expression.
So, x=1, y=-1, z=1

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App