Home
Class 11
PHYSICS
The gravitational field in a region due ...

The gravitational field in a region due to a certain mass distribution is given by `vec(E)=(4hati-3hatj)N//kg`. The work done by the field in moving a particle of mass `2kg` from `(2m,1m)` to `(2/3m,2m)` along the line `3x+4y=10` is

A

`-25/3 N`

B

`-50/3 N`

C

`25/3N`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B

`W=m(vec(E).vec(dr))=m(vec(E).(vec(r)_(2)-vec(r)_(1)))`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    NARAYNA|Exercise NCERT BASED QUESTIONS|26 Videos
  • GRAVITATION

    NARAYNA|Exercise LEVEL -I(H.W)|56 Videos
  • GRAVITATION

    NARAYNA|Exercise LEVEL II (C.W.)|38 Videos
  • FRICTION

    NARAYNA|Exercise Passage type of questions I|6 Videos
  • KINETIC THEORY OF GASES

    NARAYNA|Exercise LEVEL-III(C.W)|52 Videos

Similar Questions

Explore conceptually related problems

The gravitational field in a region is given by vec(g)=(2hat(i)+3hat(j)) N/kg. The work done in moving a particle of mass 1 kg from (1, 1) to (2, (1)/(3)) along the line 3y + 2x = 5 is

The gravitational field in a region is given by (2hati+2hatj) N/kg. What is the work done by an external agent in slowly shifting a particle of mass 10 kg from origin to point (5,4).

The gravitational field in a region is given by E = (2 hati + 3 hatj) N//kg . Find the work done by the gravitiational filed when a particle of mass 1 kg is moved on the line 3y+ 2X = 5 from (1 m,1m) to (-2 m, 3m) .

In a gravitational field vectorg = (2hati + 3hatj) N//kg . What is the work done in moving particle from (1,1) to (2,1//3) along the line 2x + 3 y = 5 .

The gravitational field in a in region is given by vecg = (4hati + vecj) N//kg . What done by this field is zero when the particle is moved along the line :

The gravitational field in a region is given by vecE = (3hati- 4hatj) N kg^(-1) . Find out the work done (in joule) in displacing a particle by 1 m along the line 4y = 3x + 9 .

The gravitational field in a region is given by vecE=(10Nkg^-1)(veci+vecj) . Find the work done by and external agent to slowly shift a particle of mass 2 kg frm the point (0,0) to a point (5m,4m)

The gravitational field in a region is 10N//kg (hati - hatj) . Find the work done by gravitational force to shift slowly a particle of mass 1kg from point (1m, 1m) to a point (2m,-2m).

The gravitational field in a region is given by vecg=(5hati+12hatj)"N kg"^(-1) . The change in the gravitational potential energy of a particle of mass 2kg when it is taken from the origin to a point (7m, -3m) is

The gravitational field ina region is given by E=(2veci+vecj)Nkg^-1 show that no work is done by the gravitational field when particle is move on the line 3y+2x=5 .

NARAYNA-GRAVITATION-LEVEL III
  1. The gravitational potential of two homogeneous spherical shells A and ...

    Text Solution

    |

  2. A thin uniform disc (see figure) of mass M has outer radius 4R and in...

    Text Solution

    |

  3. The gravitational force in a region is given by, vec(F)=ayhati+axhatj....

    Text Solution

    |

  4. Two identical thin ring each of radius R are co-axially placed at a di...

    Text Solution

    |

  5. The gravitational field in a region due to a certain mass distribution...

    Text Solution

    |

  6. A particle of mass 1kg is placed at a distance of 4m from the centre a...

    Text Solution

    |

  7. Consider two configurations of a system of three particles of masses m...

    Text Solution

    |

  8. A ring having non-uniform distribution of mass M and radius R is being...

    Text Solution

    |

  9. Two concentric spherical shells A and B of radii R and 2R and mases 4M...

    Text Solution

    |

  10. The potential energy of body of mass m given by U=px+qy+rz. The magnit...

    Text Solution

    |

  11. A particle is placed in a field characterized by a value of gravitatio...

    Text Solution

    |

  12. A thin rod of length L is bent to form a semi circle. The mass of the ...

    Text Solution

    |

  13. If the gravitational field intensity at a point is given by g = (GM)/(...

    Text Solution

    |

  14. In a certain region of space, the gravitational field is given by -k//...

    Text Solution

    |

  15. Distance between the centres of two stars is 10a. The masses of these ...

    Text Solution

    |

  16. There is crater of depth R//100 on the surface of the moon (raduis R)....

    Text Solution

    |

  17. Graviational acceleration on the surface of plane fo (sqrt6)/(11)g. wh...

    Text Solution

    |

  18. Two spherical planets P and Q have the same uniform density rho, masse...

    Text Solution

    |

  19. A spherically symmetric gravitational system of particles has a mass d...

    Text Solution

    |

  20. A satellite is moving with a constant speed 'V' in a circular orbit ab...

    Text Solution

    |