SATHEE: Gravitation Question 362

Gravitation Question 362

Question: At what height from the surface of earth the gravitational potential and the value of g are $[- 5.4 \times 10^{7} J k g^{- 1} a n d 6.0 m s^{- 2}]$ respectively? Take the radius of earth as 6400 km:

Options:

A) 2600 km

B) 1600 km

C) 1400 km

D)2000 km

Show Answer

Answer:

Correct Answer: A

Solution:

As we know, gravitational potential (v) and acceleration due to gravity (g) with height

$[V = \frac{- G M}{R + H} = 5.4 \times 10^{7}]$ -(i) And

$[g = \frac{G M}{(R + H)} = 6]$ …(ii) Dividing (i) by (ii)

$[\frac{\frac{- G M}{R + H}}{\frac{G M}{{(R + H)}^{2}}} = \frac{- 5.4 \times 10^{7}}{6} \Rightarrow \frac{5.4 \times 10^{7}}{(R + H)} = 6]$

$[\Rightarrow R + h = 9000 k m, s o, h = 2600 k]$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Gravitation Question 362

Question: At what height from the surface of earth the gravitational potential and the value of g are[−5.4×107Jkg−1and6.0ms−2] respectively? Take the radius of earth as 6400 km:

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

Question: At what height from the surface of earth the gravitational potential and the value of g are $[- 5.4 \times 10^{7} J k g^{- 1} a n d 6.0 m s^{- 2}]$ respectively? Take the radius of earth as 6400 km: