KVPY2017PhysicsUnits and Dimensions
A neutron star with magnetic moment of magnitude m is spinning with angular velocity about its magnetic axis. The electromagnetic power P radiated by it is given by ₀^ x m ^ y ^ z c ^ u where ₀ and c are the permeability and speed of light in free space, respectively. Then
Options
- Ax=1, y=2, z=4 and u=-3
- Bx=1, y=2, z=4 and u=3
- Cx=-1, y=2, z=4 and u=-3
- Dx=-1, y=2, z=4 and u=3
Correct answer
A. x=1, y=2, z=4 and u=-3
Step-by-step solution
P = [ M L ² ~T ⁻³ ] ₀= [ M L T ⁻² I ⁻² ] m = [ I L ² ] = [ 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 ]^ l x =1, y =2, z =4, u =-3