Select the correct statement out of the follo | vedclass

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

Question

(A) The acceleration due to gravity $g$ at a height $h$ is given by $g_h = g(1 - 2h/R)$ for $h < R$.

Vedclass · Accepted Answer

Acceleration due to gravity decreases as we go up or down from the earth's surface.

Vedclass · Answer

(A) The acceleration due to gravity $g$ at a height $h$ is given by $g_h = g(1 - 2h/R)$ for $h The acceleration due to gravity $g$ at a depth $d$ is given by $g_d = g(1 - d/R)$. Since both $g_h$ and $g_d$ are less than $g$, option $A$ is correct. For option $B$, $g_h = g(1 - 2h/R)$ and $g_d = g(1 - d/R)$. For $g_h = g_d$, we must have $2h = d$, so $h=d$ is incorrect. For option $C$, the fractional change is $\Delta g/g = 2h/R = 2(640)/6400 = 0.2 = 20\%$, so $10\%$ is incorrect. For option $D$, the effective gravity at the poles is not affected by the earth's rotation because the centrifugal force is zero at the poles ($F_c = m\omega^2r$, where $r=0$). Thus, option $D$ is incorrect.

Select the correct statement out of the following:

Similar Questions

If a planet has a mass and radius both half that of the Earth,the acceleration due to gravity at its surface would be ......... $m/s^2$ ($g$ on Earth $= 9.8\, m/s^2$)

Two planets have the same average density but their radii are $R_1$ and $R_2$. If acceleration due to gravity on these planets be $g_1$ and $g_2$ respectively,then

The mass and diameter of a planet are twice those of earth. The period of oscillation of a pendulum on this planet will be (if it is a second's pendulum on earth).

The depth $d$ at which the value of acceleration due to gravity becomes $\frac{1}{n-1}$ times the value at the earth's surface is ($R=$ radius of the earth).

The value of $g$ at the surface of the earth is $9.8 \, m/s^2$. Then the value of $g$ at a place $480 \, km$ above the surface of the earth will be nearly .......... $m/s^2$ (radius of the earth is $6400 \, km$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module