In the relation $F=G\times \frac{M\times m}{d^2}$, the quantity $G$:
(a) depends on the value of g at the place of observation
(b) is used only when the earth is one of the two masses
(c) is the greatest on the surface of the earth
(d) is of the same value irrespective of the place of observation
In the relation, $F=G\times \frac{M\times m}{d^2}$, the quantity $G$ is always constant at each place.
So, option (d) is correct.
Related Articles
- In the relation $F=\frac{GMm}{d^2}$, the quantity $G$$(a)$. depends on the value of g at the place of observation$(b)$. is used only when the earth is one of the two masses$(c)$. is greatest at the surface of the earth$(d)$. is universal constant of nature
- The value of quantity $G$ in the formula for gravitational force:(a) depends on mass of the earth only (b) depends on the radius of earth only(c) depends on both mass and radius of earth (d) depends neither on mass nor on radius of earth
- The value of g on the surface of the moon:(a) is the same as on the earth (b) is less than that on the earth(c) is more than that on the earth (d) keeps changing day by day
- At a place, value of \( g \) is less by \( 1 \% \) than its value on the surface of the Earth (Radius of Earth \( =6400 \mathrm{~km} \) ). The place is\( 64 \mathrm{~km} \) below the surface of the Earth\( 64 \mathrm{~km} \) above the surface of the Earth\( 30 \mathrm{~km} \) above the surface of the Earth\( 32 \mathrm{~km} \) below the surface of the Earth.
- The values of g at six distances A, B, C, D, E and F from the surface of the earth are found to be $3.08\ m/s^2,\ 9.23\ m/s^2,\ 0.57\ m/s^2,\ 7.34\ m/s^2,\ 0.30\ m/s^2$ and $1.49\ m/s^2$, respectively.(a) Arrange these values of g according to the increasing distances from the surface of the earth (keeping the value of g nearest to the surface of the earth first)(b) If the value of distance F be 10000 km from the surface of the earth, state whether this distance is deep inside the earth or high up in the sky. Give reason for your answer.
- The weight of an object at the centre of the earth of radius $R$ is:(a) zero(b) $R$ times the weight at the surface of the earth(c) infinite(d) $1/R^2$ times the weight at the surface of the earth
- What is the weight of a $1\ kilogram$ mass on the earth? $(g=9.8\ m/s^2)$.
- What is the value of gravitational constant G (i) on the earth, and (ii) on the moon?
- Calculate the value of ‘$g$’ acceleration due to gravity on the earth.
- What is the value of G?
- Write down the weight of a $50\ kg$ mass on the earth. $(g=9.8\ m/s^2)$.
- What is the force of gravity on a body of mass $150\ kg$ lying on the surface of the earth? (Mass of earth $=6\times10^{24}\ kg$; Radius of earth $=6.4\times10^{6}\ m$; $G=6.7\times10^{-11}\ Nm^2kg^{-2}$)
- Fill in the following blanks with suitable words:(a) The acceleration due to gravity on the moon is about .................... of that on the earth.(b) In order that the force of gravitation between two bodies may become noticeable and cause motion, one of the bodies must have an extremely large .......................(c) The weight of an object on the earth is about .............. of its weight on the moon.(d) The weight of an object on the moon is about ..................... of its weight on the earth.(e) The value of g on the earth is about ............... of that on the moon.(f) If the weight of a body is 6 N on the moon, it will be about................on the earth.
- What is the value of capital G?
- What is the magnitude of the gravitational force between the earth and a $1\ kg$ object on its surface? Mass of the earth is $6\times10^{24}\ kg$ and radius of the earth is $6.4\times 10^6\ m$.
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies