Which of the following statement is correct'? (Take, earth as a sphere of uniform density)
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a
Acceleration due to gravity increases with altitude.
b
Acceleration due to gravity decreases with latitude.
c
Acceleration due to gravity depends on the mass of the object.
d
Acceleration due to gravity decreases with increasing depth.
answer is D.
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Detailed Solution
Acceleration due to gravity at altitude h,gh=g(1+h/R)2≈g1-2hR˙ …(i)At depth d,gd=g1-dR …(ii)In both Eqs. (i) and (ii), if h and d increases, g decreases.At latitude ϕ,gϕ=g-ω2Rcos2ϕAs, ϕ increases, gϕ also increases.Thus, option (4) is correct but rest are incorrect.