The height at which the weight of a body beco | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The weight of a body at height $h$ is given by $W' = mg'$,where $g'$ is the acceleration due to gravity at that height.The formula for acceleratio

Vedclass · Accepted Answer

$h = 2R$

Vedclass · Answer

(D) The weight of a body at height $h$ is given by $W' = mg'$,where $g'$ is the acceleration due to gravity at that height.The formula for acceleration due to gravity at height $h$ is $g' = g \left(1 + \frac{h}{R}\right)^{-2}$.Given that the weight becomes $\frac{1}{9}$ of its weight on the surface,we have $g' = \frac{g}{9}$.Equating the two expressions: $\frac{g}{9} = \frac{g}{(1 + \frac{h}{R})^2}$.Taking the square root on both sides: $\frac{1}{3} = \frac{1}{1 + \frac{h}{R}}$.This implies $1 + \frac{h}{R} = 3$.Therefore,$\frac{h}{R} = 2$,which gives $h = 2R$.

List-$I$	List-$II$
$(A)$ Magnetic field intensity	$(i)$ $Wb$
$(B)$ Magnetic flux	(ii) $Wb \cdot m^{-2}$
$(C)$ Magnetic pole strength	(iii) $A \cdot m$
$(D)$ Magnetic induction	(iv) $A \cdot m^{-1}$

The height at which the weight of a body becomes $\frac{1}{9}^{th}$ of its weight on the surface of the Earth (radius of Earth $R$) is:

Similar Questions

If for some reason our goblet cells are non-functional,this will adversely affect:

The maximum amount of electrolytes and water ($70-80$ percent) from the glomerular filtrate is reabsorbed in which part of the nephron?

Which classification system was proposed by $R.H. Whittaker$?

If the wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5 \times 10^{-6} \ m$ and $10^{-4} \ m$ respectively,the ratio of their temperatures is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module