Physics · Gravitation

NEET (UG) 2025 — Question 30

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is :

  1. Option A:

    16 N

  2. Option B:

    27 N

    Correct
  3. Option C:

    32 N

  4. Option D:

    36 N

Answer: B

Step-by-step solution

Weight on Earth's surface: W=mg=48 NW = mg = 48\,\text{N}. Weight at height hh above surface: W′=mg′=m g(RR+h)2W' = mg' = m\,g\left(\frac{R}{R+h}\right)^2. Given h=R3h = \frac{R}{3}, so R+h=R+R3=4R3R+h = R + \frac{R}{3} = \frac{4R}{3}. Then RR+h=R4R/3=34\frac{R}{R+h} = \frac{R}{4R/3} = \frac{3}{4}. Thus W′=48×(34)2=48×916W' = 48 \times \left(\frac{3}{4}\right)^2 = 48 \times \frac{9}{16}. W′=48×916=3×9=27 NW' = \frac{48 \times 9}{16} = 3 \times 9 = 27\,\text{N}. Therefore, the gravitational force at that height is 27 N.

Answer key and solution verified before publishing.

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Exam
NEET (UG) 2025
Subject
Physics
Chapter
Gravitation
Topic
Newton's Law of Gravitation
A body weighs 48 N on the surface of the earth. The gravitational… | NEET (UG) 2025 PYQ with Solution · DhiX AI