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  • Given below are two statements: Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity (g) Statement II : </strong

Given below are two statements:

Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity (g)

Statement II : The effect of rotation of the earth on the value of 'g' at the equator is minimum and that at the pole is maximum.

In the light of the above statements, choose the correct answer from the options given below

Option: 1

Both Statement I and Statement II are true


Option: 2

Both Statement I and Statement II are false


Option: 3

Statement I is false but statement II is true


Option: 4

Statement I is true but statement II is false


Answers (1)

best_answer

Due to rotation of earth, \mathrm{g}_{\mathrm{eff}}=\mathrm{g}-\omega^2 \mathrm{R} \cos ^2 \theta

 Where \theta is angle made with equatorAlso,

At poles, \theta =90^{\circ}

\begin{aligned} & \Delta g=\omega^2 R \cos ^2 \theta \\ & \quad=\omega^2 R \cos ^2 90=0 \end{aligned}

[no effect on poles]

\mathrm{g}_{\mathrm{eff}}=\mathrm{g}-\omega^2 \mathrm{R} \cos ^2 \theta

for equator \theta =0^{\circ}

So, g_{e f f}=g-w^2 R

& \Delta \mathrm{g}=\omega^2 \mathrm{R} (Which is maximum change)

Posted by

SANGALDEEP SINGH

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