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JEE Main Physics Class 11 Gravitation Part 2 Questions
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Question : 34
Total: 89
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.
[10-Apr-2023 shift 2]
Both Statement I and Statement II are true
Both Statement I and Statement II are false
Statement I is false but statement II is true
Statement I is true but statement II is false
Validate
Solution:
Due to rotation of earth,
g
eff
=
g
−
ω
2
R
cos
2
θ
Where '
θ
' is angle made with equator
Also, At poles,
θ
=
90
∘
∆
g
=
ω
2
R
cos
2
θ
=
ω
2
R
cos
2
90
=
0
[no effect on poles]
g
eff
=
g
−
ω
2
R
cos
2
θ
for equator
θ
=
0
∘
So,
g
eff
=
g
−
w
2
R
∆
g
=
ω
2
R
(Which is maximum change)
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