Download App

7. gravitation — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics7. gravitation1 Mark
MCQ
A uniform solid sphere of mass $M$ and radius $R$ is surrounded symmetrically by a uniform thin spherical shell of equal mass and radius $2R$. The value of gravitational potential at a distance $\frac{3}{2}\,R$ from the centgre is 
  • A
    $ - \frac{2}{3}\,\frac{{GM}}{R}$
  • B
    $ - \frac{5}{6}\,\frac{{GM}}{R}$
  • C
    $ - \frac{4}{3}\,\frac{{GM}}{R}$
  • ✓
    $ - \frac{7}{6}\,\frac{{GM}}{R}$
✓

Answer

Correct option: D.
$ - \frac{7}{6}\,\frac{{GM}}{R}$
d
Due to solid sphere.

Gravitational potential.

$\mathrm{V}_{1}=-\frac{\mathrm{GM}}{(3 \mathrm{R} / 2)}=-\frac{2 \mathrm{GM}}{3 \mathrm{R}}$

Due to spherical shell.

Gravitational potential, $\mathrm{V}_{2}=-\frac{\mathrm{GM}}{2 \mathrm{R}}$

Net Gravitational potential

$=-\frac{2 \mathrm{GM}}{3 \mathrm{R}}-\frac{\mathrm{GM}}{2 \mathrm{R}}=-\frac{7 \mathrm{GM}}{6 \mathrm{R}}$

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→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A block of mass $m$ is kept on horizontal turn table at $x$ distance from the centre. If coefficient of friction between block and surface of turn table is $\mu$, then maximum angular speed of the table so that block does not slip
→
One gram mole of an ideal gas $A$ with the ratio of constant pressure and constant volume specific heats $\gamma_{A}=5 / 3$ is mixed with $n$ gram moles of another ideal gas $B$ with $\gamma_{B}=7 / 5$. If the $\gamma$ for the mixture is $19 / 13$, then what will be the value of $n$ ?
→
One end of a copper rod of length $1.0\;m$ and area of cross-section ${10^{ - 3}}$ is immersed in boiling water and the other end in ice. If the coefficient of thermal conductivity of copper is $92\;cal/m{\rm{ - }}s{{\rm{ - }}^o}C$ and the latent heat of ice is $8 \times {10^4}cal/kg$, then the amount of ice which will melt in one minute is
→
The phase difference between two waves represented by

${y_1} = {10^{ - 6}}\sin [100\,t + (x/50) + 0.5]m$

${y_2} = {10^{ - 6}}\cos \,[100\,t + (x/50)]m$

where $ x$ is expressed in metres and $t$ is expressed in seconds, is approximately .... $ rad$

→
A tuning fork of known frequency $256\,Hz$ makes $5$ beats per second with the vibrating string of a guitar. The beat frequency decreases to $2$ beats per second when the tension in the guitar string slightly increased. The frequency of the guitar string before increasing the tension was ..... $Hz$
→
A particle executes simple harmonic motion between $x = -A$ and $x = +A.$ The time taken for it to go from $0$ to $\frac{\text{A}}{2}$ is $T_1$ and to go from $\frac{\text{A}}{2}$ to $A$ is $T_2$ Then:
→
Acceleration versus time graph of a body starting from rest is shown in the figure. The velocity versus time graph of the body is given by
→
From a solid sphere of mass $M$ and radius $R$ a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its faces is
→
A particle of mass $\mathrm{m}$ is moving in the $x y$-plane such that its velocity at a point $(x, y)$ is given as $\vec{v}=\alpha(y \hat{x}+2 x \hat{y})$, where $\alpha$ is a non-zero constant. What is the force $\vec{F}$ acting on the particle?
→
Two wires of equal lengths are made of the same material. Wire $A$ has a diameter that is twice as that of wire $B$. If identical weights are suspended from the ends of these wires, the increase in length is
→