Home
Class 12
PHYSICS
A spherical body of radius R consists of...

A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P(r) is the pressure at r (r < R), then the correct option(s) is (are)

A

`P(r = 0)=0`

B

`(P(r = 3R//4))/(P(r=2R//3))=(63)/(80)`

C

`(P(r = 3R//5))/(P(r=2R//5))=(16)/(21)`

D

`(P(r=R//2))/(P(r=R//3))=(20)/(27)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    RESONANCE ENGLISH|Exercise EXERCISE-3 PART-2|11 Videos

  • GRAVITATION

    RESONANCE ENGLISH|Exercise HIGH LEVEL PROBLEMS|16 Videos

  • GRAVITATION

    RESONANCE ENGLISH|Exercise EXERCISE-2 PART-4|9 Videos

  • GEOMATRICAL OPTICS

    RESONANCE ENGLISH|Exercise Advance level Problems|35 Videos

  • NUCLEAR PHYSICS

    RESONANCE ENGLISH|Exercise Advanced level solutions|16 Videos

Similar Questions

Explore conceptually related problems

A spherical black body of radius n radiates power p and its rate of cooling is R. then.

Consider a thin spherical shell of radius R consisting of uniform surface charge density sigma . The electric field at a point of distance x from its centre and outside the shell is

Assuming the earth to be a homogeneous sphere of radius R , its density in terms of G (constant of gravitation) and g (acceleration due to gravity on the surface of the earth)

Assuming the Sun to be a spherical body of radius R at a temperature of TK, evaluate the total radiant powered incident of Earth at a distance r from the sun where r_0 is the radius of the Earth and sigma is Stefan's constant.

A cylinder of radius R full of liquid of density p is rotated about its axis at w rad/s. The increase in pressure at the centre of the cylinder will be

A solid of radius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius R/2 is made in the sphere as shown in the figure. Find the electric potential at the centre of the sphere.

The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is F. Show the nature of F versus r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density

Inside a uniformly charged infinitely long cylinder of radius 'R' and volume charge density 'rho' there is a spherical cavity of radius 'R//2'. A point 'P' is located at a dsintance 2 R from the axis of the cylinder as shown. Then the electric field strength at the point 'P' is

A star can be considered as spherical ball of hot gas of radius R . Inside the star, the density of the gas is rho_(r) at radius r and mass of the gas within this region is M_(r) . The correct differential equation for variation of mass with respect to radius is (refer to the adjacent figure)

Energy needed in breaking a drop of radius R into n drops of radius r, is where T is surface tension and P is atmospheric pressure.