Home
Class 12
PHYSICS
A hemispherical cavity of radius R is cr...

A hemispherical cavity of radius R is created in a solid sphere of radius 2R as shown in the figure . Then y -coordinate of the centre of mass of the remaining sphere is

A

`Y_("CM")=-R/15`

B

`Y_("CM")=-R/40`

C

`Y_("CM")=-R/30`

D

`Y_("CM")=-R/20`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 27

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

  • NTA JEE MOCK TEST 29

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A hemi-spherical cavity is created in solid sphere (of radius 2R ) as shown in the figure. Then

A particle of mass m is placed at a distance of 4R from the centre of a huge uniform sphere of mass M and radius R . A spherical cavity of diameter R is made in the sphere as shown in the figure. If the gravitational interaction potential energy of the system of mass m and the remaining sphere after making the cavity is (lambdaGMm)/(28R) . Find the value of lambda

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:

From a hemisphere of radius R a cone of base radius R/w and height R is cut as shown in figure. Find the height of centre of mass of the remaining object.

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.

A spherical cavity of radius r is made in a conducting sphere of radius 2 r.A charge q is kept at the centre of cavity as shown in the figure.Find the magnitude of the total electric field at (4r 0) .

A spherical cavity of radius r is made in a conducting sphere of radius 2r. A charge 9 is kept at the centre of cavity as shown in the figure. Find the magnitude of the total electric field at(4r 0). у r (0 0) х 9 2r

A cavity of radius R//2 is made inside a solid sphere of radius R . The centre of the cavity is located at a distance R//2 from the centre of the sphere. The gravitational force on a particle of a mass 'm' at a distance R//2 from the centre of the sphere on the line joining both the centres of sphere and cavity is (opposite to the centre of cavity). [Here g=GM//R^(2) , where M is the mass of the solide sphere]

NTA MOCK TESTS-NTA JEE MOCK TEST 28-PHYSICS
  1. A proton collides with a stationary deuteron to form a .^3He nucleus. ...

    Text Solution

    |

  2. A hemispherical cavity of radius R is created in a solid sphere of rad...

    Text Solution

    |

  3. Two short bar magnets of dipole moments M and Msqrt(3) are joined at r...

    Text Solution

    |

  4. In the given circuit , the voltmeter reading is 4.5 V. Assuming that ...

    Text Solution

    |

  5. Find the equivalent resistance about any branch of the base of the ...

    Text Solution

    |

  6. A solenoid of inductance L and resistance R has a soft iron core . It ...

    Text Solution

    |

  7. In the figure shown , after the switch 's' is turned from postion ...

    Text Solution

    |

  8. A glass hemisphere (mu=1.5) has a radius of curvature of 16 cm. A smal...

    Text Solution

    |

  9. One mole of diatomic gas undergoes a process P=(P0)/([1+(V//V0)^3]) , ...

    Text Solution

    |

  10. A finite carrying - current wire is placed in a plane along with very ...

    Text Solution

    |

  11. Three blocks of A, B and C of equal mass m are placed one over the oth...

    Text Solution

    |

  12. Electromagnetic wave travel in medium at a speed of 2.0xx10^8ms^-1. Th...

    Text Solution

    |

  13. The height of a mercury barometer is 75 cm at sea level and 50 cm at t...

    Text Solution

    |

  14. A heavy plank of mass 100 kg hangs on three vertical wires of equal le...

    Text Solution

    |

  15. The fraction of atoms of radioactive element that decays in 6 days is ...

    Text Solution

    |

  16. As shown in the figure, a bob of mass m is tied by a massless string w...

    Text Solution

    |

  17. Consider telecommunication through optical fibres. Which of the follow...

    Text Solution

    |

  18. What is the conductivity of a semiconductor sample having electron con...

    Text Solution

    |

  19. Temperature of an ideal gas is 300 K . The final temperature of the ga...

    Text Solution

    |

  20. Radio waves coming at anglealpha to vetical are received by a radar af...

    Text Solution

    |