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if p represents radiation pressure, c re...

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 and z such that `p^(x)Q^(y)c^(z)` is dimensionless are.

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`

Text Solution

Verified by Experts

The correct Answer is:
B
`[P]=M^(1)L^(-1)T^(-2),[c]=M^(0)L^(1)T^(-1),[Q]=(M^(1)L^(2)T^(-2))/(L^(2)T^(1))=M^(1)T^(-3)`
`P^(x)Q^(y)C^(z)` is dimensionless if `x+y=0` and `-x+z=0`
`x=-y`
`x=-y` i.e. `x=1,y=-1,z=1" "(PC)/Q` is a constant
`x=z`
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