Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Gravitation

NEET 2012 · Physics · Gravitation

The height at which the weight of a body becomes 1 / 16 th, its...

The height at which the weight of a body becomes 1/161 / 16 th, its weight on the surface of earth (radius RR ), is

Options

  1. A5R5 R
  2. B15R15 R
  3. C3R3 R
  4. D4R4 R

Correct answer

C. 3R3 R

Step-by-step solution

According to question GMm(R+h)2=116GMmR2\frac{G M m}{(R+h)^2}=\frac{1}{16} \frac{G M m}{R^2}1(R+h)2=116R2or RR+h=14or R+hR=4h=3R\begin{array}{l} \frac{1}{(R+h)^2} =\frac{1}{16 R^2} \\ \text{or } \frac{R}{R+h} =\frac{1}{4} \\ \text{or } \frac{R+h}{R} =4 \\ h =3 R \end{array}$$
Practice Gravitation on Quantrex Academy →

More from Gravitation

The amount of work done to raise a mass ' m ' from the surface of the Earth to a height… NEET 2026Two planets P_1 and P_2 with equal mass have radii R_1 and R_2 , respectively, where… NEET 2026In a solar system, the time-period of revolution of a planet tracing a circular orbit of… NEET 2026The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of… NEET 2025A body weighs 48 N on the surface of the earth. The gravitational force experienced by… NEET 2025The escape velocity for earth is v . A planet having 9 times mass that of earth and… NEET 2024The mass of a planet is (1)/(10) th that of the earth and its diameter is half that of… NEET 2024An object of mass 100 kg falls from point A to B as shown in figure. The change in its… NEET 2024 Full Gravitation list All NEET PYQs