Home
Class 12
PHYSICS
The horizontal range and the maximum hei...

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is

A

`theta=tan^(-1)(2)`

B

`theta=45^(@)`

C

`theta=tan^(-1)((1)/(4))`

D

`theta=tan^(-1)(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
`R=H_("max")rArr(2u^(2)sin theta cos theta)/(g)=(u^(2)sin^(2)theta)/(2g)`
`rArr tan theta=4 rArr theta=tan^(-1)(4)`
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

The horizontal range is equal to two times maximum height of a projectile. The angle of projection ofthe projectile is:

The horizontal range and the maximum height of a projectile are equal.If the speed of projection is v_(0) ,then the speed at the highest point is (2v_(0))/(sqrt(p)) The value of "p" is

Assertion: For projection angle tan^(-1)(4) , the horizontal range and the maximum height of a projectile are equal. Reason: The maximum range of projectile is directely proportional to square of velocity and inversely proportional to acceleration due to gravity.

If R and H represent horizontal range and maximum height of the projectile, then the angle of projection with the horizontal is

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

The angle of projection at which the horizontal range and maximum height of projectile are equal is

During a projectile motion if the maximum height equal the horizontal range, then the angle of projection with the horizontal is :

ALLEN-MOTION IN A PALNE-EXERCISE-1
  1. The maximum range of a gun on horizontal terrain is 1km. If g = 10 ms^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. A missile is fired for maximum range with an initial velocity of 20m//...

    Text Solution

    |

  17. A projectile is fired at an angle of 45^(@) with the horizontal. Eleva...

    Text Solution

    |

  18. The horizontal range and the maximum height of a projectile are equal....

    Text Solution

    |

  19. The velocity of a projectile at the initial point A is (2hati+3hatj) m...

    Text Solution

    |

  20. A projectile is projected from ground with initial velocity vecu=u(0)h...

    Text Solution

    |