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A body of weight W newton is at the surface of the earth. Its weight at a height equal to half the radius of the earth will be
Options
(a) W/2
(b) 2W/3
(c) 4W/9
(d) 8W/27
Correct Answer:
4W/9
Explanation:
Let h=height above the earth
R=Radius of earth
Now, the acceleration due to gravity at a height ‘h’ above the earth’s surface(g) is given by
gh=g(1+h/R)⁻²
Given h=R/2
gh=g(1+R/2/R)⁻²
gh/g=1/(1+1/2)²=1/(3/2)²=(2/3)²=4/9
since g=W; gh=4/9g;4/9 W.
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Topics: Gravitation
(63)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A meter stick of mass 400 g is pivoted at one end and displaced through an angle 60°.
- A spring gun of spring constant 90 N/cm is compressed 12 cm by a ball of mass
- An explosion breaks a rock into three parts in a horizontal plane
- Monochromatic light of frequency 6.0 x 10¹⁴ Hz is produced by a laser. The power emitted
- A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane
Topics: Gravitation (63)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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