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If R is the radius of the earth and g is the acceleration due to gravity on the earth surface, the mean density of the earth is
Options
(a) 4πG/3gR
(b) 3πG/4gR
(c) 3g/4πRG
(d)πRg/12G
Correct Answer:
3g/4πRG
Explanation:
Density = Mass/ Volume
= M / (4/3 π R³)
= (gR² / G). x 3/4 (1/π R³) [as g = GM/R²]
= (3/4π G) x (g/R)
=3g/4πRG
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Question Type: Apply
(15)
Difficulty Level: Easy
(1008)
Topics: Gravitation
(63)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A thin rod of length L and mass M is bent at its midpoint into two halves
- A tuning fork frequency 512 Hz is vibrated with a sonometer wire and 6 beats per second
- Two spherical nuclei have mass numbers 216 and 64 with their radii R₁ and R₂,
- If the temperature of the sun were to increase from T to 2T and its radius from R and 2R
- A point performs simple harmonic oscillation of period T and the equation of motion
Question Type: Apply (15)
Difficulty Level: Easy (1008)
Topics: Gravitation (63)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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