Home
Class 12
PHYSICS
Galileo writes that for angles of projec...

Galileo writes that for angles of projection of a projectile at angles `(45 + theta)` and `(45 - theta)`, the horizontal ranges described by the projectile are in the ratio of (if `theta le 45`)

A

`1:1`

B

`2:3`

C

`1:2`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
A
`theta_(1)+theta_(2)=(45^(@)-theta)+(45^(@)+theta)=90^(@)`
`therefore R_(1)=R_(2)`
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 PHY|75 Videos

  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

Maximum range of projectile depend on angle of projectile.

Assertion: Horizontal range is same for angle of projection theta and (90^(@)- theta) . Reason : Horizontal range is independent of angle of projection.

The velocity of projection of oblique projectile is (6hati+8hatj)ms^(-1) The horizontal range of the projectile is

When angle of projection is …... Range of projectile will be maximum.

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

Two projectiles are projected at angles ( theta) and ((pi)/(2) - theta ) to the horizontal respectively with same speed 20 m//s . One of them rises 10 m higher than the other. Find the angles of projection. (Take g= 10 m//s^(2) )

what is the angle? when sin (theta)=4 and cos (theta)=5

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

If sin theta = cos (theta-45°) , where theta and theta- 45° are acute angles, find the degree measure of theta .

A projectile si thrown with velocity of 50m//s towards an inclined plane from ground such that is strikes the inclined plane perpendiclularly. The angle of projection of the projectile is 53^(@) with the horizontal and the inclined plane is inclined at an angle of 45^(@) to the horizontal. (a) Find the time of flight. (b) Find the distance between the point of projection and the foot of inclined plane.

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 uppermost 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

    |