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Q.

Gravitational field intensity at an axial point of a circular ring whose mass is 5kg and a radius of 3m at a distance of 4m when a point mass 1kg is placed at  the center of the ring is

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a

1.25G19

b

89G16

c

200G

d

89G400

answer is D.

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Detailed Solution

Gravitational field strength=E=Gmr2here universal gravitation constant=G; mass=m; distance=r;  Enet=Ering+Epoint mass Ering=GMxx2+R23/2at an axial point  here x=distance between center of ring and point under consideration;R=radius of the ring Ering=G×5×442+323/2=20G125=4G25N/kg Epoint mass=G×142=G16N/kg Enet=Ering +Epoint mass Enet=4G25+G16=64G+25G400=89G400
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