KVPY SX SB Exam 05-Nov-2017 Question Paper

Question : 93 of 120

Marks: +1, -0

A neutron star with magnetic moment of magnitude m is spinning with angular velocity ω about its magnetic axis. The electromagnetic power P radiated by it is given by

µ_0^xm^yω^zc^u

where

µ_0

and c are the permeability and speed of light in free space, respectively. Then

x = 1, y = 2, z = 4 and u = –3
x = 1, y = 2, z = 4 and u = 3
x = –1, y = 2, z = 4 and u = –3
x = –1, y = 2, z = 4 and u = 3

Validate

Solution:

P = [M L^2 T^{–3} ]

µ_0 = [M L T^{–2} I^{–2} ]

m = [I L^2 ]

ω = [T^{–1} ]

C = [L T^{–1} ]

∴

[M L^2 T^{–3} ] = [M L T^{–2} I^{–2} ]^ x [I L^2 ]^ y [T^{–1} ]^ z [LT^{–1} ]^ u

x = 1, y = 2, z = 4, u = –3

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