Q.

R is the radius of the earth and ω is its angular velocity and gp is the value of g at the poles. The effective value of g at the latitude λ=60° will be equal to

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a

gp−14Rω2

b

gp−34Rω2

c

gp−Rω2

d

gp+14Rω2

answer is A.

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Detailed Solution

g=gp​−Rω2cos2λ=gp​−ω2Rcos260°=gp​−ω2R122=gp−14Rω2∵cos60°=12
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R is the radius of the earth and ω is its angular velocity and gp is the value of g at the poles. The effective value of g at the latitude λ=60° will be equal to