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Question

If P represents radiation pressure 'C' represents speed of light and Q represents radiation energy striking a unit area per second then non-zero integers x,y and z such that Px.Qy.Cz is dimensionless are :

A
x=1,y=1,z=1
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B
x=1,y=1,z=1
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C
x=1,y=1,z=1
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D
x=1,y=1,z=1
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Solution

The correct option is

B

x=1,y=1,z=1



Unit of P is Ws/m=[M1T3].

Unit of C is m/s=[M0L1T1].
Unit of Q is W/m2=[M1L2T2].

Hence putting these units in PxQyCz and equating the powers of fundamental units to 0, we get x=1, y=1 and z=1.

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