1.

A charged sphere of mass m and charge -q starts sliding along the surface of a smooth hemispherical bowl, at position P. The region has a transverse uniform magnetic field B. Normal force by the surface of bowl on the sphere at position Q is

Answer»

`mg sin THETA+qBsqrt(2gRsin theta)`
`3mg sin theta+qBsqrt(2gRsin theta)`
`mg sin theta-qBsqrt(2gRsin theta)`
`3mg sin theta-qBsqrt(2gRsin theta)`

SOLUTION :
`v=sqrt(2gRsintheta)`
and `""F=qvB`
Now
`N-(F+mgsin theta)=(mv^(2))/(R)`
`:. ""N=F+mg sin theta+(mv^(2))/(R)`
`=qBsqrt(2gRsin theta)+mg sin theta+2mg sin theta`
`:. "" N=3 mg sin theta+qBsqrt(2gRsin theta)`


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