Home
Class 12
PHYSICS
A body is projected at such an angle tha...

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

A

`25^(@)`

B

`33^(@)`

C

`42^(@)`

D

`53^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D

`R=3H rArr n=3`
`tan theta=(4H)/(R)=(4)/(3)rArrtheta53^(@)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN|Exercise EXERCISE-2|170 Videos
  • MOTION IN A PALNE

    ALLEN|Exercise EXERCISE-3|41 Videos
  • MOTION IN A PALNE

    ALLEN|Exercise SOLVED EXAMPLE|28 Videos
  • KINEMATICS-2D

    ALLEN|Exercise Exercise (O-2)|48 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

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

A body is projected with velocity u so that its horizontal range is twice the maximum height.The range is

Projection angle with the horizontal is:

The horizontal range is four times the maximum height attained by a projectile. The angle of projection is

Assertion: In projectile motion, when horizontal range is n times the maximum height, the angle of projection is given by tan theta=(4)/(n) Reason: In the case of horizontal projection the vertical increases with time.

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

Show that the horizontal range is maximum when the angle of projection is 45^(@)

ALLEN-MOTION IN A PALNE-EXERCISE-1
  1. A stone falls freely under gravity. It covered distances h1, h2 and h3...

    Text Solution

    |

  2. A ball whose kinetic energy is E , is projected at an angle of 45(@) t...

    Text Solution

    |

  3. A body is projected at such an angle that the horizontal range is thre...

    Text Solution

    |

  4. A body is thrown with some velocity from the ground. Maximum height wh...

    Text Solution

    |

  5. A body is thrown with a velocity of 9.8 m//s making an angle of 30^(@)...

    Text Solution

    |

  6. The maximum range of a gun on horizontal terrain is 1km. If g = 10 ms^...

    Text Solution

    |

  7. Two projectiles of same mass and with same velocity are thrown at an a...

    Text Solution

    |

  8. At the appermost point of a projectile its velocity and acceleration ...

    Text Solution

    |

  9. A large number of bullets are fired in all directions with the same sp...

    Text Solution

    |

  10. A projectile fired with initial velocity u at some angle theta has a ...

    Text Solution

    |

  11. Three particles A, B and C are projected from the same point with the ...

    Text Solution

    |

  12. Galileo writes that for angles of projection of a projectile at angles...

    Text Solution

    |

  13. A paricle starting from the origin (0,0) moves in a straight line in (...

    Text Solution

    |

  14. A projectile can have the same range R for two angles of projection. I...

    Text Solution

    |

  15. A monkey is sitting on the tree. A hunter fires a bullet to kill him. ...

    Text Solution

    |

  16. A particle of mass m is projected with velocity making an angle of 45^...

    Text Solution

    |

  17. A ball is projected to attain the maximum range. If the height attaine...

    Text Solution

    |

  18. Two projectiles are fired from the same point with the same speed at a...

    Text Solution

    |

  19. A ball is projected vertically upwards with a certain initial speed. A...

    Text Solution

    |

  20. The speed of a projectile at its maximum height is half of its initial...

    Text Solution

    |