Question

A body weights $700 \mathrm{~g} \mathrm{wt}$ on the surface of earth. How much it weight on the surface of planet whose mass is $1 / 7$ and radius is half that of the earth (A) $200 \mathrm{~g} \mathrm{wt}$ (B) $400 \mathrm{~g} \mathrm{wt}$ (C) $50 \mathrm{~g} \mathrm{wt}$ (D) $300 \mathrm{~g}$ wt.

Name: Problem 688, Chapter 6: JEE Physics
Uploaded: 2021-11-13T17:50:41-08:00
Duration: 3 min 56 s
Channel: Narendra Kumar
Description: A body weights 700 g wt on the surface of earth. How much it weight on the surface of planet whose mass is 1 / 7 and radius is half that of the earth (A) 200 g wt (B) 400 g wt (C) 50 g wt (D) 300 g wt.

   A body weights $700 \mathrm{~g} \mathrm{wt}$ on the surface of earth. How much it weight on the surface of planet whose mass is $1 / 7$ and radius is half that of the earth
(A) $200 \mathrm{~g} \mathrm{wt}$
(B) $400 \mathrm{~g} \mathrm{wt}$
(C) $50 \mathrm{~g} \mathrm{wt}$
(D) $300 \mathrm{~g}$ wt.

JEE Physics

StemEZ 1st Edition

Chapter 6, Problem 688

Instant Answer

Solved by Expert Narendra Kumar

11/13/2021

Step 1

For the planet, we'll denote its mass as $M_P$ and its radius as $R_P$. Given that the mass of the planet is $1/7$ of the mass of the Earth and its radius is half that of the Earth, we can write $M_P = M_E/7$ and $R_P = R_E/2$. Show more…

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A body weights $700 \mathrm{~g} \mathrm{wt}$ on the surface of earth. How much it weight on the surface of planet whose mass is $1 / 7$ and radius is half that of the earth (A) $200 \mathrm{~g} \mathrm{wt}$ (B) $400 \mathrm{~g} \mathrm{wt}$ (C) $50 \mathrm{~g} \mathrm{wt}$ (D) $300 \mathrm{~g}$ wt.

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Key Concepts

Weight Calculation

Weight is defined as the gravitational force acting on an object’s mass, calculated by the formula W = mg. This means that an object's weight varies depending on the local gravitational acceleration, allowing comparison of weight on different celestial bodies.

Effect of Planetary Mass and Radius

This principle involves understanding how variations in a planet’s mass and radius influence its gravitational field. Specifically, a decrease in mass reduces gravity, while a decrease in radius leads to an increase due to the inverse square relationship; the combined effect determines the overall change in weight.

Gravitational Acceleration

This concept explains that the acceleration due to gravity on the surface of a celestial body is determined by the formula g = GM/R², where G is the universal gravitational constant, M is the mass of the body, and R is its radius. It shows how changes in mass and radius affect the gravitational pull a body exerts.

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