Home
Class 11
PHYSICS
Four bodies A,B,C and D are projected wi...

Four bodies A,B,C and D are projected with equal velocities having angles of projection `15^(@),30^(@),45^(@) and 60^(@)` with the horizontal respectively. The body having the shortest range is

A

A

B

B

C

C

D

D

Text Solution

Verified by Experts

The correct Answer is:
A
Range, `R=(u^(2)sin 2 theta)/g`
For a given initial velocity
`R prop sin 2 theta`
`R_(2)=(u^(2)sin (90^(@)+2 theta))/g=(u^(2)cos 2 theta)/g=R_(1)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN TWO DIMENSION

    A2Z|Exercise Projectile From A Height And Movingframe|19 Videos

  • MOTION IN TWO DIMENSION

    A2Z|Exercise Projection From Inclined Plane|20 Videos

  • MOCK TEST

    A2Z|Exercise Motion With Constant Acceleration|15 Videos

  • NEWTONS LAWS OF MOTION

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Four balls A, B, C and D are projected with equal velocities having angles of projection 15^(@) , 30^(@) , 45^(@) and 60^(@) with the horizontal, respectively. The ball having the smallest range is

If four balls A,B,C,D are projected with same speed at angles of 15^(@),30^(@),45^(@) and 60^(@) with the horizontal respectively, the two balls which will fall at the same place will be-

Two particle are projected with same initial velocities at an angle 30^(@) and 60^(@) with the horizontal .Then

Two particles are projected with same velocity but at angles of projection 35 and 55 then their horizontal ranges are in the ratio of

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

Two particles are projected with same speed but at angles of projection (45^(@)-theta) and (45^(@)+theta) . Then their horizontal ranges are in the ratio of

A body is projected from a point with different angles of projections 20^(@),35^(@),45^(@),60^(@) with the horizontal but with same initial speed. Their respective horizontal but with same initial speed. Their respective horizontal ranges are R_(1),R_(2),R_(3) and R_(4) . Identify the correct order in increasing order

Two bodies are projected at angle of 45^@ and 60^@ with the horizontal with same velocity simultaneously. Ratio of their horizontal range is.

Two bodies are projected with the same velocity. If one is projected at an angle of 30^(@) and the other at an angle of 60^(@) to the horizontal, the ratio of the maximum heights reached is

A body is projected with velocity u at an angle of projection theta with the horizontal. The direction of velocity of the body makes angle 30^@ with the horizontal at t = 2 s and then after 1 s it reaches the maximum height. Then

A2Z-MOTION IN TWO DIMENSION-Chapter Test
  1. Four bodies A,B,C and D are projected with equal velocities having ang...

    Text Solution

    |

  2. In a two dimensional motion,instantaneous speed v(0) is a positive con...

    Text Solution

    |

  3. A body is projected at 30^(@) with the horizontal. The air offers resi...

    Text Solution

    |

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

    Text Solution

    |

  5. Show that there are two values of time for which a projectile is at th...

    Text Solution

    |

  6. At a height 0.4 m from the ground the velocity of a projectile in vect...

    Text Solution

    |

  7. A particle is projected from the ground with an initial speed of v at ...

    Text Solution

    |

  8. At what angle with the horizontal should a ball be thrown so that the ...

    Text Solution

    |

  9. A projectile is fired at an angle of 30^(@) with the horizontal such t...

    Text Solution

    |

  10. An airplane is flying horizontally at a height of 490m with a velocity...

    Text Solution

    |

  11. Jai is standing on the top of a building of height 25 m he wants to th...

    Text Solution

    |

  12. The equations of motion of a projectile are given by x=36tm and 2y=96t...

    Text Solution

    |

  13. A plane surface is inclined making an angle beta above the horizon. A ...

    Text Solution

    |

  14. A player kicks a ball at a speed of 20ms^(-1) so that its horizontal r...

    Text Solution

    |

  15. Two tall buildings are 30 m apart. The speed with which a ball must be...

    Text Solution

    |

  16. Which of the following statements is incorrect?

    Text Solution

    |

  17. A motor car travelling at 30 m//s on a circular road of radius 500m. I...

    Text Solution

    |

  18. A particle moves along a circle of radius R =1m so that its radius vec...

    Text Solution

    |

  19. What remains constant in uniform circular motion ?

    Text Solution

    |

  20. A train is moving towards north. At one place it turn towards north -e...

    Text Solution

    |

  21. A motor cyclist is trying to jump across a path as shown by driving ho...

    Text Solution

    |