SATHEE: Gravitation Question 72

Gravitation Question 72

Question: If earth is supposed to be a sphere of radius R, if g30 is value of acceleration due to gravity at latitude of 30o and g at the equator, the value of $[g - g_{30^{o}}]$ is [DCE 2005]

Options:

A) $[\frac{1}{4} ω^{2} R]$

B) $[\frac{3}{4} ω^{2} R]$

C) $[ω^{2} R]$

D) $[\frac{1}{2} ω^{2} R]$

Show Answer

Answer:

Correct Answer: B

Solution:

Acceleration due to gravity at latitude l is given by

$[g^{'} = g - R ω^{2} \cos^{2} λ]$

At $[30^{o}, g_{30^{\circ}} = g - R ω^{2} \cos^{2} 30^{o} = g - \frac{3}{4} R ω^{2}]$

$[g - g_{30} = \frac{3}{4} ω^{2} R .]$

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Gravitation Question 72

Question: If earth is supposed to be a sphere of radius R, if g30 is value of acceleration due to gravity at latitude of 30o and g at the equator, the value of [g−g30o] is [DCE 2005]

Options:

Answer:

Solution:

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Question: If earth is supposed to be a sphere of radius R, if g30 is value of acceleration due to gravity at latitude of 30o and g at the equator, the value of $[g - g_{30^{o}}]$ is [DCE 2005]