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Gravitational field intensity at the cen...

Gravitational field intensity at the centre of the semi circle formed by a thin wire `AB` of mass `m` and length `L` is

A

`(Gm^(2))/(L^(2))(hati)`

B

`(Gm^(2))/(piL^(2))(hatj)`

C

`(2piGm)/(L^(2)) (hati)`

D

`(2piGm)/(L^(2))(hatj)`

Text Solution

Verified by Experts

The correct Answer is:
D
`lambda=m/L,L=pir,dm=lambdadl=lambda(d theta)`
`E=(Glambda)/r[int_(0)^(pi)cos thetad thetahati+int_(0)^(pi)sin thetad thetahatj]`
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