MCQ
If both the mass and the radius of the earth decrease by $1\%$, the value of the acceleration due to gravity will
- ADecrease by $1\%$
- ✓Increase by $1\%$
- CIncrease by $2\%$
- DRemain unchanged
✓
Answer
Correct option: B.
Increase by $1\%$
b
(b) As $g = \frac{{GM}}{{{R^2}}}$ therefore $1\%$ decrease in mass will decreases the value of $g$ by $1\%.$
(b) As $g = \frac{{GM}}{{{R^2}}}$ therefore $1\%$ decrease in mass will decreases the value of $g$ by $1\%.$
But $1\%$ decrease in radius will increase the value of $g$ by $2\%.$
As a whole value of $g$ increase by $1\%.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
An ideal gas is taken around the cycle $ABCA$ as shown in the $P-V $ diagram. The net work done by the gas during the cycle is equal to
→A thin rod of mass $m$ and length $l$ is oscillating about horizontal axis through its one end. Its maximum angular speed is $\omega$. Its centre of mass will rise upto maximum height :-
→The position of a particle moving along $x$-axis given by $x=\left(-2 t^3+3 t^2+5\right) m$. The acceleration of particle at the instant its velocity becomes zero is ....... $m / s ^2$
→A stone is shot straight upward with a speed of $20\, m/sec$ from a tower $200\, m$ high. The speed with which it strikes the ground is approximately........$m/sec$
→The time period T of a small drop of liquid (due to surface tension) depends on density $\rho$, radius r and surface tension S. The relation is:
→If a force of constant magnitude acts in direction perpendicular to the motion of a particle, then its
A spring block system in horizontal oscillation has a time-period $T$. Now the spring is cut into four equal parts and the block is re-connected with one of the parts. The new time period of vertical oscillation will be
→In which of the following process, convection does not take place primarily?
An aluminium rod with Young's modulus $Y =7.0$ $\times 10^{10} N / m ^2$ undergoes elastic strain of $0.04 \%$. The energy per unit volume stored in the rod in SI unit is:
→A body of mass 1kg is thrown with a velocity of 10ms−1 at an angle of 60° with the horizontal. Its momentum at the highest point is: