MCQ
A hollow spherical shell is compressed to half its radius. The gravitational potential at the centre
- Aincreases
- ✓decreases
- Cremains same
- Dduring the compression increases then returns at the previous value.
✓
Answer
Correct option: B.
decreases
b
$V=-\frac{G M}{r}$
$V=-\frac{G M}{r}$
Due to the negative sign, when the radius is halved the potential decreases.
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
A body constrained to move along $y-$ axis is subjected to a constant force $\vec F = -\hat i + 2\hat j+ 3\hat k\,\,N$ . The work done by this force in moving the body a distance of $4\, m$ along $y-$ axis is ............... $\mathrm{J}$
→A series $LCR$ circuit containing a resistance of $120\, ohm$ has angular resonance frequency $4 \times 10^3 rad \, s^{-1}.$ At resonance, the voltage across resistance and inductance are $60\,V$ and $40\,V$ respectively. The values of $L$ and $C$ are respectively
→Assertion $(A):$ The stream of water flowing at high speed from a garden hose, pipe tends to spread like a fountain when held vertically up but tends to narrow down when held vertically down.
→Reason $(R):$ In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.
The value of the resistance $R$ in figure is adjusted such that power dissipated in the $2\,\Omega $ resistor is maximum. Then the power dissipated in the $2\,\Omega $ will be ................ $W$
→A piece of ice falls from a height $h$ so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of $h$ is
→[Latent heat of ice is $3.4 \times 10^{5}\; J / k g$ and $g=10\; N / kg ]$
Two long parallel wires are at a distance $2d$ apart. They carry steady equal currents flowing out of the plane of the paper, as shown. The variation of the magnetic field $B$ along the line $XX’$ is given by
→A source of sound of frequency $450$ cycles/sec is moving towards a stationary observer with $34\, m/sec$ speed. If the speed of sound is $340\, m/sec,$ then the apparent frequency will be ..... $cycles/sec$
→If the random error in the arithmetic mean of $50$ observations is $\alpha$, then the random error in the arithmetic mean of $150$ observations would be
→An astronaut floating freely in space decides to use his flash light as a rocket. He shines a $10$ watt light beam in a fixed direction so that he acquires momentum in the opposite direction. If his mass is $80$ kg, how long must he need to reach a velocity of $1$ $ms^{-1}$
→If speed $(V)$, acceleration $(A)$ and force $(F)$ are considered as fundamental units, the dimension of Young’s modulus will be
→