Home
Class 12
PHYSICS
A body A is projected upwards with veloc...

A body A is projected upwards with velocity `v_1`. Another body B of same mass is projected at an angle of `45^@` with the horizontal. Both reach the same height. What is the ratio of their initial kinetic energies?

A

`1:2`

B

`2:1`

C

`1:sqrt2`

D

`sqrt2:1`

Text Solution

Verified by Experts

The correct Answer is:
A
`v_(1)=(v_(2))/(sqrt2)rArr((1)/(2)mv_(1)^(2))/((1)/(2)mv_(2)^(2))=(1)/(2)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle A is projected verically upwards. Another indentical particle B is projected at an angle of 45^(@) . Both reach the same height. The ratio of the initial kinetic energy of A to that of B is -

A particle A is projected verically upwards. Another indentical particle B is projected at an angle of 45^(@) . Both reach the same height. The ratio of the initial kinetic energy of A to that of B is -

An object is projected at an angle of 45^(@) with the horizontal. The horizontal range and the maximum height reached will be in the ratio.

Two projectiles thrown from the same point at angles 60^@ and 30^@ with the horizontal attain the same height. The ratio of their initial velocities is

A ball is projected vertically upwards with a certain initial speed. Another ball of the same mass is projected at an angle of 60^(@) with the vertical with the same initial speed. At highest points of their journey, the ratio of their potential energies will be

A ball is projected vertically upwards with a certain initial speed. Another ball of the same mass is projected at an angle of 60^(@) with the vertical with the same initial speed. At highest points of their journey, the ratio of their potential energies will be

If 2 balls are projected at angles 45^(@) and 60^(@) and the maximum heights reached are same, what is the ratio of their initial velocities ?

Two balls are projected at an angle theta and (90^(@) - theta) to the horizontal with the same speed. The ratio of their maximum vertical heights is

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

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

ALLEN-TEST PAPER-Exercise (Physics)
  1. Power of a force acting on a block varies with time t as shown in figu...

    Text Solution

    |

  2. Two inclined frictionless tracks, one gradual and the other steep meet...

    Text Solution

    |

  3. A body A is projected upwards with velocity v1. Another body B of same...

    Text Solution

    |

  4. Track OABCD (as shown in figure ) is smooth. What minimum speed has to...

    Text Solution

    |

  5. In the ideal atwood machine arrangement shown, what is the change in k...

    Text Solution

    |

  6. A partical of mass 2kg is moving on the x-axis with a constant mechani...

    Text Solution

    |

  7. A chain of length L and of mass m is placed upon a smooth surface. The...

    Text Solution

    |

  8. Potential energy function along x-axis in a certain force field is giv...

    Text Solution

    |

  9. A pigeon in flight experience a force of air resistance given by F=bv^...

    Text Solution

    |

  10. A potential energy curve U(x) is shown in the figure. What value must ...

    Text Solution

    |

  11. The left and of the spring tied to a wall and at the right end is atta...

    Text Solution

    |

  12. A block weighing 40N travels down a smooth fixed curved track AB joine...

    Text Solution

    |

  13. Two atoms interact with each other according to the following force F ...

    Text Solution

    |

  14. The potential energy U(x) of a particle moving along x-axis is shown i...

    Text Solution

    |

  15. A particle is to move along the x-axis from x=0 to x=x(1) while a cons...

    Text Solution

    |

  16. A body with mass 1kg moves in one direction in the presence of a force...

    Text Solution

    |

  17. An escalator is used to move 5 people (60kg each) per minute from the ...

    Text Solution

    |

  18. A stone is dropped into a quiet lake and waves move in circles at the ...

    Text Solution

    |

  19. For conservative force field, vec(F)=-(delU)/(delx)hat(i)-(delU)/(dy)...

    Text Solution

    |

  20. Find the value of x(1), so that int(0)^(x(1))ydx=5

    Text Solution

    |