Home
Class 12
PHYSICS
A uniform solid sphere of radius R has a...

A uniform solid sphere of radius R has a cavity of radius 1m cut from it if centre of mass of the system lies at the periphery of the cavity then

A

`(R^2 + R + 1) (2–R) = 1`

B

`(R^2 – R – 1) (2–R) = 1`

C

`(R^2 – R + 1) (2–R) = 1`

D

`(R^2 + R – 1) (2–R) = 1`

Text Solution

Verified by Experts

The correct Answer is:
A

NA
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise Chemistry|1 Videos

Similar Questions

Explore conceptually related problems

A uniform solid right circular cone of base radius R is joined to a uniform solid hemisphere of radius R and of the same density, as shown. The centre of mass of the composite solid lies at the centre of base of the cone. The height of the cone is

A uniform charged hemisphere of radius b and charge density rho has a hemispherical cavity of radius a(a=b/2) cut from its centre . If the potential at the centre of the cavity is (nrhob^2)/(16 in_0) then n = ?

A solid spherical conductor of radius R has a spherical cavity of radius at its centre. A charge is kept at the centre. The charge at the inner surface, outer surface are respectively.

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distanace R/4 from the centre of sphere. The gravitational force on mass m is

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distance R/4 from the centre of sphere. The gravitational force on mass m is

From a uniform disc of radius R , a circular section of radius R//2 is cut out. The centre of the hole is at R//2 from the centre of the original disc. Locate the centre of mass of the resulting flat body.

As shown in figure, when a spherical cavity (centered at O) of radius 2 is cut out of a uniform sphere of radius R (centered at C), the centre of mass of remaining (shaded) part of sphere is at G, i.e, on the surface of the cavity. R can be determined by the equation:

The figure represents a solid uniform sphere of mass M and radius R . A spherical cavity of radius r is at a distance a from the centre of the sphere. The gravitational field inside the cavity is

A uniform disc of radius R is put over another unifrom disc of radius 2R of the same thickness and density. The peripheries of the two discs touch each other. Locate the centre of mass of the system.

A uniform solid cylinder of radius 'R' has a circular cut of radius (R )/(2) from the edge, Its mass is M. It is rolling wihtout slipping on a rough horizontal floor. When the cut part is at lowest position, centre of the disc is moving with horizontal velocity v. Choose the alternative:

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAIN-All Questions
  1. Velocity of a wave in a wire is v when tension in it is 2.06 × 10^4 N....

    Text Solution

    |

  2. n mole of He and 2n mole of O2 is mixed in a container. Then (Cp/Cv)(m...

    Text Solution

    |

  3. A uniform solid sphere of radius R has a cavity of radius 1m cut from ...

    Text Solution

    |

  4. A solid sphere of mass m= 500gm is rolling without slipping on a horiz...

    Text Solution

    |

  5. Two liquid columns of same height 5m and densities rho and 2rho are fi...

    Text Solution

    |

  6. Two square plates of side 'a' are arranged as shown in the figure. The...

    Text Solution

    |

  7. In YDSE path difference at a point on screen is lambda/8 . Find ratio ...

    Text Solution

    |

  8. In the given circuit switch is closed at t = 0. The charge flown in ti...

    Text Solution

    |

  9. A particle is dropped from height h = 100 m, from surface of a planet....

    Text Solution

    |

  10. A charge particle of mass m and charge q is released from rest in unif...

    Text Solution

    |

  11. An object is gradually moving away from the focal point of a concave m...

    Text Solution

    |

  12. In full scale deflection current in galvanometer of 100 ohm resistance...

    Text Solution

    |

  13. There are two identical particles A and B. One is projected vertically...

    Text Solution

    |

  14. The length of a pendulum is measured as 20.0 cm. The time interval for...

    Text Solution

    |

  15. An electron is moving initially with velocity vo hati+vohatj in unifor...

    Text Solution

    |

  16. An asteroid of mass m (m lt lt mE) is approaching with a velocity 12 k...

    Text Solution

    |

  17. In H–spectrum wavelength of 1^(st) line of Balmer series is lambda= 65...

    Text Solution

    |

  18. Two batteries (connected in series) of same emf 10 V of internal resis...

    Text Solution

    |

  19. An EMW is travelling along z-axis vecB=5 xx 10^(-8) hatj T, C=3 xx 10^...

    Text Solution

    |

  20. Kinetic energy of the particle is E and it's De-Broglie wavelength is ...

    Text Solution

    |