Home
Class 11
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(rltR), then the correct option(s) is (are)

A

P(r=0)=0

B

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

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FLUIDS AT REST

    SL ARORA|Exercise Problem|19 Videos
  • FLUIDS AT REST

    SL ARORA|Exercise Problem for self practice|69 Videos
  • FLUIDS IN MOTION

    SL ARORA|Exercise All Questions|117 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.

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 spherical marble of radius r is made to oscillate in a bowl of radius R. What is its period of oscillation ?

A body is in equilibrium under the action of three coplanar forces P,Q and R as shown in figure. Select the correct statement.

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)

A small spherical body of radius r is falling under gravity in a viscous medium. Due to friction the meduim gets heated. How does the rate of heating depends on radius of body when it attains terminal velocity?

Assuming the Sun to be a spherical body of radius R at a temperature of TK, evalute the total radiant powerd 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.

SL ARORA-FLUIDS AT REST-Problem for self practice
  1. A spherical body of radius R consists of a fluid of constant density a...

    Text Solution

    |

  2. A force of 40 N is applied on a nail , whose tip has an area of cross-...

    Text Solution

    |

  3. Atmospheric pressure is 1.01 xx 10^(5) Pa. How large a force does the ...

    Text Solution

    |

  4. The force on a Phonograph needle is 1.2 N. the point has a circular cr...

    Text Solution

    |

  5. A cylinderical vessel contaning liquid is closed by a smooth piston of...

    Text Solution

    |

  6. The cross-section of two piston in hydraulic press are 2cm^(2) "and" 1...

    Text Solution

    |

  7. The average mass that must be lifted by a hydraulic press is 80 "kg".I...

    Text Solution

    |

  8. In a hydraulic press used for compressing cotton the area of the pisto...

    Text Solution

    |

  9. An automobile sack is lifted by a hydraulic jack that consists of two ...

    Text Solution

    |

  10. What is the minimum pressure required to force blood from the heart to...

    Text Solution

    |

  11. A column of water 40 cm height supports a 30 cm column of an unknown l...

    Text Solution

    |

  12. If the water pressure gauge shows the pressure at ground floor to be 2...

    Text Solution

    |

  13. A cylinderical jar of cross-sectional area of 50 cm^(2) is filled with...

    Text Solution

    |

  14. Water is filled in a flask upto a height of 20cm. The bottom of the fl...

    Text Solution

    |

  15. The density of asir ner earth's surface is 1.3kgm^-3 and the atmospher...

    Text Solution

    |

  16. A vertical U-tube of uniform inner cross-section contains mercury in ...

    Text Solution

    |

  17. Two liquids of specific gravity 1.2 "and" 0.84 are poured into the l...

    Text Solution

    |

  18. The area of cross-section of the wider tube shown in fig., is 800cm^(2...

    Text Solution

    |

  19. A barometer kept in an elevator accelerating upwards reads 76 cm of Hg...

    Text Solution

    |

  20. How much will a body of 70 N weight in water if it displaces 20 ml of...

    Text Solution

    |

  21. A solid weighs 6 kg in air. If its density is 2000 "kg" m^(3) what wil...

    Text Solution

    |