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If p represents radiation pressure, c re...

If p represents radiation pressure, c represents speed of light and S represents radiation energy striking unit area per sec. The non-zero integers x,y,z such that `p^(y)S^(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
By substituting the dimension of given quantities `[ML^-1T^-2]^x[MT^-2]^y[LT^-1]^z=[MLT]^0`
comparing the power of M, L, T in both sides
`x+y=0` ..(i)
`-x+z=0` .(ii)
`-2x-2y-z=0` .(iii)
The only values of x,y,z satisfying (i),(ii) and (iii) corresponds to (b).
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