Home
Class 11
PHYSICS
Two bodies P and Q are projected with ve...

Two bodies P and Q are projected with velocites `sqrt(2)` u and u respectively. They cover the same horizontal distance. If body P is projected at `15^(@)` will the horizontal, then calcu late the angle of projection of body Q.

Text Solution

Verified by Experts

The correct Answer is:
`45^(@)`

`R_(P)=R_(Q)rArr((sqrt(2)u)^(2)sin(2xx15^(@)))/(g)=(u^(2)sin 2theta)/(g)`
`1=sin 2theta`
`theta=45^(@)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise Comprehension type Queston|14 Videos
  • UNITS AND DIMENSIONS

    GRB PUBLICATION|Exercise Link Compression|6 Videos

Similar Questions

Explore conceptually related problems

If a body is projected with an angle theta to the horizontal, then

A body is projected at angle of 45^(@) to the horizontal . What is its velocity at the highest point ?

Two balls A and B are thrown with speeds u and u//2 , respectively. Both the balls cover the same horizontal distance before returning to the plane of projection. If the angle of projection of ball B is 15^@ with the horizontal, then the angle of projection of A is.

Two bodies of same mass are projected with the same velocity at an angle 30^(@) and 60^(@) respectively.The ration of their horizontal ranges will be

A body is projected at an angle of 60^(@) with ground. It covers a horizontal distance of 100m. If the same body is projected at 60^(@) with vertical with same velocity, the new range is

A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is

A body projected with the same velocity at two different angles covers the same horizontal distance R. If t and t' are two times of flight, prove that R=1/2 gtt .

If two bodies are projected at 30^(@) and 60^(@) respectively, with the same velocity, then

A body projected with the same velocity at two different angles covers the same horizontal distance R.If t and t' are the two times of flight, prove that R=1/2 gtt'

GRB PUBLICATION-MOTION IN TWO AND THREE DIMENSIONS-All Questions
  1. If a ball A is dropped while B is projected vertically down. Which bal...

    Text Solution

    |

  2. A man can throw a stone R m away: (a) What is the maximum height to ...

    Text Solution

    |

  3. Two bodies P and Q are projected with velocites sqrt(2) u and u respec...

    Text Solution

    |

  4. Prove that: The path of a projectile is a straight line.

    Text Solution

    |

  5. Prove that for a projectile fired from level ground at an angle theta ...

    Text Solution

    |

  6. When a particle is projected at an angle to the horizontal, it has ran...

    Text Solution

    |

  7. In an experiment for measuring 'g', a body is thrown vertically up in ...

    Text Solution

    |

  8. A bomb is dropped on a nenmy post by an aeroplane flying. With a horiz...

    Text Solution

    |

  9. A fireman 50m away fro a burning building directs a stream of water fr...

    Text Solution

    |

  10. An astronaut on a strange planet finds that he can jump a maximum hori...

    Text Solution

    |

  11. A particle of mass 3 kg takes 2 second to move from point A to B under...

    Text Solution

    |

  12. An airplane is observed by two persons travelling at 60 km/hour in two...

    Text Solution

    |

  13. A motor boat set out at 11a.m. from a position -6hati-2hatj relative t...

    Text Solution

    |

  14. A man can row a boat at 4.0km/hr in still water. A river flows at 2.0k...

    Text Solution

    |

  15. A projectile is lauched with a velocity u at right angles to the along...

    Text Solution

    |

  16. A shell is fired vertically from a cannon which is travelling at const...

    Text Solution

    |

  17. A stone at the end of a string is whirled in a vertical circle of radi...

    Text Solution

    |

  18. Two particles are projected simu ltaneously from points A and B respec...

    Text Solution

    |

  19. A particle moves in x-y plane according to ru le x=a sin omegat and y=...

    Text Solution

    |

  20. The x and y co-ordinates of a partilce at any time t are given by: x...

    Text Solution

    |