A spherical asteroid having the same density as that of earth is … - Vidyadip

MCQ

A spherical asteroid having the same density as that of earth is floating in free space. A small pebble is revolving around the asteroid under the influence of gravity near the surface of the asteroid. What is the approximate time period of the pebble?

A
$24\ h$
B
$365\ days$
C
$10\ min$
✓
$1\ hr\ 24\ min$

✓

Answer

Correct option: D.

$1\ hr\ 24\ min$

d
By Kepler's law

$\mathrm{T}^{2}=\frac{4 \pi^{2}}{\mathrm{GM}} \mathrm{R}^{3}=\frac{4 \pi^{2}}{\mathrm{G} \rho} \times \frac{4 \pi}{3}$

$\mathrm{R}=\mathrm{R}$ asteroid

$\Rightarrow$ so, time period depends only on density

of planet

$\mathrm{T}=\mathrm{TP}$ of near earth orbit satellite $=$

$84 \min =1$ hr $24\, min$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 7. gravitation→7. gravitation — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

When the intensity of a light source is increased:

The number of photons emitted by the source in unit time increases.
The total energy of the photons emitted per unit time increases.
More energetic photons are emitted.
Faster photons are emitted.

A train, standing in a station-yard, blows a whistle of frequency $400\,Hz$ in still air. The wind starts blowing in the direction from the yard to the station with a speed of $10\,ms^{-1}$ then value of frequency and speed of sound for observer will be (the speed of sound in still is $340\, ms^{-1}$ )

The figure represents the instantaneous picture of a longitudinal harmonic wave travelling along the negative $x$-axis. Identify the correct statement $(s)$ related to the movement of the points shown in the figure. The points of maximum compression are

A standing wave is produced on a string clamped at one end and free at the other. The length of the string.

Must be an integral multiple of $\frac{\lambda}{4}$
Must be an integral multiple of $\frac{\lambda}{2}$
Must be an integral multiple of $\lambda$
May be an integral multiple of $\frac{\lambda}{2}.$

Two coaxial discs, having moments of inertia $I_1$ and $\frac{I_1}{2}$ are a rotating with respectively angular velocities $\omega_1$ and $\frac{\omega_1}{2}$, about their common axes. They are brought in contact with each other and thereafter they rotate with a common angular velocity. If $E_f$ and $E_i$ are the final and initial total energies, then $(E_f -E_i)$ is

A sphere contracts in volume by $0.01 \%$ when taken to the bottom of sea $1 \,km$ deep. Find Bulk modulus of the material of sphere ........... $N / m ^2$

The average velocities of the objects A and B are V_Ą and V_B, respectively. The velocities are related such that V_A> V_B.
The position-time graph for this situation can be represented as:

The initial and final temperatures of water as recorded by an observer are $(40.6 \pm 0.2)^{\circ} C$ and $(78.9 \pm 0.3)^{\circ} C .$ Calculate the rise in temperature with proper error limits.

In a laminar flow the velocity of the liquid in contact with the walls of the tube is

A bullet fired into a fixed target loses half of its velocity after penetrating $3\,cm$. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?........$cm$