Home
Class 11
PHYSICS
The range of a projectile at an angle th...

The range of a projectile at an angle `theta` is equal to half of the maximum range if thrown at the same speed. The angel of projection `theta` is given by

A

`15^@`

B

`30^@`

C

`60^@`

D

data insufficient

Text Solution

Verified by Experts

The correct Answer is:
A

`R_(theta) = R_(45^@)/2`
`:. (u^2sin2theta)/g = 1/2 ((u^2)/g) or sin 2 theta = 1/2`
`:. 2theta = 30^@ or theta = 15^@` .
Promotional Banner

Topper's Solved these Questions

  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 1 Subjective|21 Videos
  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 2 Single Correct|10 Videos
  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 1 Assertion And Reason|10 Videos
  • MOTION IN A PLANE

    DC PANDEY|Exercise (C )Medical entrances gallery|32 Videos
  • PROPERTIES OF MATTER

    DC PANDEY|Exercise Integer|8 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 range of a projectile when launched at angle theta is same as when launched at angle 2theta . What is the value of theta ?

Two balls are thrown with the same speed from a point O at the same time so that their horizontal ranges are same. If the difference of the maximum height attained by them is equal to half of the sum of the maximum heights, then the angles of projection for the balls are

The range of a projectile fired at an angle of 15^@ is 50 m. If it is fired with the same speed at an angle of 45^@ its range will be

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

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

The question given below consist of an assertion and the reason . Use the following key to choose appropriate answer: Assertion: Range of projectile motion is same when particle is projected at an angle theta with the horizontal or at an angle (90^(@) -theta) with the horizontal . Reason : Range of projectile motion depended only on the angle of projection.

A projectile is thrown with velocity v at an angle theta with the horizontal. When the projectile is at a height equal to half of the maximum height,. The vertical component of the velocity of projectile is.

A projectile is thrown with velocity v at an angle theta with the horizontal. When the projectile is at a height equal to half of the maximum height,. The velocity of the projectile when it is at a height equal to half of the maximum height is.

Range of a projectile is R, when the angle of projection is 30^(@) . Then, the value of the other angle of projection for the same range is

DC PANDEY-PROJECTILE MOTION-Level - 1 Single Correct
  1. Identify the correct statement related to the projectile motion.

    Text Solution

    |

  2. Two bodies are thrown with the same initial velocity at angles theta ...

    Text Solution

    |

  3. The range of a projectile at an angle theta is equal to half of the ma...

    Text Solution

    |

  4. A ball is projecte with a velocity 20 ms^-1 at an angle to the horizon...

    Text Solution

    |

  5. A particular has initial velocity , v=3hati+3hatj and a constant force...

    Text Solution

    |

  6. A body is projected at an angle 60^@ with horizontal with kinetic ener...

    Text Solution

    |

  7. If T1 and T2 are the times of flight for two complementary angles, the...

    Text Solution

    |

  8. A gun is firing bullets with velocity v0 by rotating it through 360^@ ...

    Text Solution

    |

  9. A grass hopper can jump maximum distance 1.6m. It spends negligible ti...

    Text Solution

    |

  10. Two stones are projected with the same speed but making different angl...

    Text Solution

    |

  11. A ball is projected upwards from the top of a tower with a velocity 50...

    Text Solution

    |

  12. Average velocity of a particle in projectile motion between its starti...

    Text Solution

    |

  13. A train is moving on a track at 30ms^-1. A ball is thrown from it perp...

    Text Solution

    |

  14. A body is projected at time t = 0 from a certain point on a planet's s...

    Text Solution

    |

  15. A particle is fired horizontally form an inclined plane of inclination...

    Text Solution

    |

  16. A fixed mortar fires a bomb at an angle of 53^@ above the horizontal w...

    Text Solution

    |