This question contains Statement-1 and Statement-2. Of the four c… - Vidyadip

Question

This question contains Statement$-1$ and Statement$-2$. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement$-1$: For a mass $M$ kept at the centre ofa cube of side '$a$', the flux of gravitational field passing through its sides $4\pi GM.$
Statement$-2$: If the direction of a field due to a point source is radial and its dependence on the distance '$r$' from the source is given as $\frac{1}{r^2}$ , its flux through a closed surface depends only on the strength of the source enclosed by the surface and not on the size or shape of the surface.

✓

Answer

Gravitational flux through a closed surface is given by

$\int {\overrightarrow {{E_g}}\, \overrightarrow d }S = - 4\pi GM$

$where,\,M = mass\,enclosed\,in\,the\,closed\,surface$

This relationship is valid When $\left| {{E_g}} \right| \propto \frac{1}{{{r^2}}}.$

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

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

Similar questions

$V\, = \,K\,{\left( {\frac{P}{T}} \right)^{0.33}}$ where $k$ is constant. It is an,

A cubical block of side $a$ is moving with velocity $v$ on a horizontal smooth plane as shown. It hits a ridge at point $O$. The angular speed of the block after it hits $O$ is

A particle starting from rest, moves with a uniform acceleration and covers $x$ meters in the first $5\, second$. The same particle will cover the following distance in the next $5\, seconds$ :-

A magnet of total magnetic moment ${10\,^{ - 2}}\hat i\,A - {m^2}$ is placed in a time varying magnetic field, $B\,\hat i\,\left( {\cos \,\omega t} \right)$ where $B = 1\, Tesla$ and $\omega = 0.125\, rad/s$. The work done for reversing the direction of the magnetic moment at $t = 1\, second$, is

A fully charged capacitor has a capacitance $‘C’$. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity $‘s’$ and mass $‘m’$. If the temperature of the block is raised by ‘$\Delta T$’, the potential difference $‘V’$ across the capacitance is

If $\overrightarrow{ P }=3 \hat{ i }+\sqrt{3} \hat{ j }+2 \hat{ k }$ and $\overrightarrow{ Q }=4 \hat{ i }+\sqrt{3} \hat{ j }+2.5 \hat{ k }$ then, The unit vector in the direction of $\overrightarrow{ P } \times \overrightarrow{ Q }$ is $\frac{1}{x}(\sqrt{3} \hat{i}+\hat{j}-2 \sqrt{3} \hat{k})$. The value of $x$ is

The smallest division on the main scale of a Vernier calipers is $0.1 cm$. Ten divisions of the Vernier scale correspond to nine divisions of the main scale. The figure below on the left shows the reading of this calipers with no gap between its two jaws. The figure on the right shows the reading with a solid sphere held between the jaws. The correct diameter of the sphere is

In the circuit (Fig), the final current through $30\, \Omega $ resistance when circuit is completed is.........$A$

Let $l, r, c$ and $v$ represent inductance, resistance, capacitance and voltage, respectively. The dimension of $\frac {1}{rcv}$ in $SI\,units$ will be

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R.$

Assertion $A:$ An electric fan continues to rotate for some time after the current is switched off.

Reason $R:$ Fan continuous to rotate due to inertia of motion.

In the light of above statements, choose the most appropriate answer from the options given below.