If radius of earth shrinks by 2 % while its mass remains same. acceleration due to gravity on earth&

English

Gujarati

Hindi

7.Gravitation

medium

If the radius of earth shrinks by $2 \%$ while its mass remains same. The acceleration due to gravity on the earth's surface will approximately.

A

decrease by $2 \%$

B

decrease by $4 \%$

C

increase by $2 \%$

D

increase by $4 \%$

(JEE MAIN-2022)

Solution

$g=\frac{G M}{R^{2}}$

$M =$ constant $g<\frac{1}{ R ^{2}}$

$100 \frac{\Delta g}{g}=-2 \frac{\Delta R}{R} 100$

$\%$ change $=-2(-2)$

$\%$ change in $g =4 \%$

increase by $4 \%$

Standard 11

Physics

Share

Similar Questions

A spring balance is graduated on sea level. If a body is weighed with this balance at consecutively increasing heights from earth's surface, the weight indicated by the balance

easy

If the density of the earth is doubled keeping its radius constant, then acceleration due to gravity will be …….. $m/s^2$. $(g = 9.8\,m/sec^2)$

medium

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

easy

(NEET-2018)

Find the magnitude of acceleration due to gravity at height of $10\, km$ from the surface of earth.

medium

$T$ is the time period of simple pendulum on the earth's surface. Its time period becomes $x T$ when taken to a height $R$ (equal to earth's radius) above the earth's surface. Then, the value of $x$ will be:

medium

(JEE MAIN-2023)