Home
Class 12
PHYSICS
A body falling from rest has a ve...

A body falling from rest has a velocity v after it falls through a distanc.e h. The distance it has to fall down further, for its velocity to become double, is ..... times h

A

5 h

B

h

C

5 h

D

3 h

Text Solution

Verified by Experts

`v_1=v,h_1=h,R_1=250m,m_1=m`
`v_2=v/2,h_2=4h,R_2=?,m_2=2m`
Time taken ,`t=((sqrt2h)/(g))impliestpropsqrth`Range,R=velocityTime
`R_1/R_2=(v_1)/(v_2)xx(t_1)/(t_2)``impliesR_1/R_2=v/((v)/(2))xxsqrt(h_1/h_2`
`implies250/(R_2)=2xxsqrt((h)/(4h))`
`:.R_2=250m`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    SIA PUBLICATION|Exercise MCQs|35 Videos
  • LAWS OF MOTION

    SIA PUBLICATION|Exercise M.C.Q|41 Videos

Similar Questions

Explore conceptually related problems

A body falls freely from a height 'h' its average velocity when it reaches earth is

A body falls freely from a height 'h' its average velocity when it reaches earth is

A body falls for 5s from rest. If the accleration due to gravity of earth ceases to act, the distance it travels in the next 3s is

SIA PUBLICATION-KINETIC THEORY -PROBLEM ( MCQs )
  1. A stone tied to a string rotated with uniform speed in a vertical plan...

    Text Solution

    |

  2. A 2 kg stone tied at the end of a string of l m len"gt"h, is whirled a...

    Text Solution

    |

  3. A body A starts from rest with an acceleration a1. After 2 s another b...

    Text Solution

    |

  4. In the following velocity-time graph, the distance travelled by...

    Text Solution

    |

  5. A person aiming to reach the exactly opposite point on the b...

    Text Solution

    |

  6. If a unit vector is represented by 0.5 hati + 0.8 hatj + c hat...

    Text Solution

    |

  7. When two vectors vecA and vecB of magnitude a and b are adde...

    Text Solution

    |

  8. A ball is thrown vertically upwards with a speed of 10 ms^-1...

    Text Solution

    |

  9. vecA and vecB are vectors such that A +BI= I A -B j. Then, the...

    Text Solution

    |

  10. A very small particle rests on the top of a hemisphere of ra...

    Text Solution

    |

  11. A particle starts moving from rest under uniformacceleration. ...

    Text Solution

    |

  12. The resuhant of the vectors A and B depends also on the ang...

    Text Solution

    |

  13. The horizontal stream of H2O leaves an opening in the side o...

    Text Solution

    |

  14. The banking angle for a curved road of radius 490 m for a v...

    Text Solution

    |

  15. Keeping the banking angle same, to increase the maximum speed ...

    Text Solution

    |

  16. A wooden block is dropped from the top of a cliff 100 m hi...

    Text Solution

    |

  17. If vecA, vecB are perpendicular vectors :' vecA = 5 hati + 7 hatj ...

    Text Solution

    |

  18. A body falling from rest has a velocity v after it falls th...

    Text Solution

    |

  19. A body of mass m thrown horizontally with velocity v, from t...

    Text Solution

    |

  20. A boat is moving with a velocity 3 hati +4 hatj with respec...

    Text Solution

    |