Home
Class 12
PHYSICS
A bullet with muzzle velocity 100 m s^-1...

A bullet with muzzle velocity `100 m s^-1` is to be shot at a target `30 m` away in the same horizontal line. How high above the target must the rifle be aimed so that the bullet will hit the target ?
.

A

`45m`

B

`45cm`

C

`45mm`

D

`30cm`

Text Solution

Verified by Experts

The correct Answer is:
B
A bullet …………….
Horizontal range of bullet is `30 m (V^(2)sin 2theta)/(9)= 30 implies`
`sin2theta = 0.03`
for small `theta` , `sin theta ~= theta`
`implies 2theta ~= 0.03 implies` , `theta = 0.015`
height to be aimed `= 30 tan theta ~= 30(theta)`
`~=30(0.15)`
`=45 cm`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PART - II PHYSICS|106 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Advanced Level Problems|13 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise PHYSICS|130 Videos

Similar Questions

Explore conceptually related problems

A bulley with muzzle velocity 100 m s^-1 is to be shot at a target 30 m away in the same horizontal line. How high above the target must the rifle be aimed so that the bullet will hit the target ? .

A rifle shoots a bullet with a muzzle velocity of 400 m s^-1 at a small target 400 m away. The height above the target at which the bullet must be aimed to hit the target is (g = 10 m s^-2) .

A rifle shoots a bullet with a muzzle velocity of 400 m s^-1 at a small target 400 m away. The height above the target at which the bullet must be aimed to hit the target is (g = 10 m s^-2) .

The initial speed of a bullet fired from a rifle is 630 m/s. . The rifle is fired at the centre of a target 700 m away at the same level as the target. How far above the centre of target, the rifle must be aimed in order to hit the target?

A bullet moving with a velocity of 30sqrt(2) ms^(-1) is fired into a fixed target. It penetrated into the target to the extent of s metres. If the same bullet is fired into a target of thickness (s)/(2) metres and of the same material with the same velocity, then the bullet comes out of the target with velocity

A bullet is fired on a fixed target. It penetrates inside the target through distance d = 3.75 cm and then stops. mass of the bullet is m = 1 kg and of the target is M = 4 kg . Now an identical bullet moving with the same velocity is fired on the identical target which is placed at rest on a frictionless horizontal surface. Then find the distance (in cm) to which the bullet will penetrate inside the target?

A bullet is fired on a fixed target. It penetrates inside the target through distance d = 4 cm and then stops, mass of bullet is m = 1kg and of target is M = 4kg . Now identical bullet moving with same velocity is fired on identical which is placed at rest on frictionless horizontal surface. The distance ( in mm ) to which the bullet will penetrate inside the target is 4K ( mm). Find K .

A bullet initially moving with a velocity 20 m s^(-1) strikes a target and comes to rest after penetrating a distance 10 cm in the target. Calculate the retardation caused by the target.

A jet aeroplane is flying at a constant height of 2 km with a speed 360 kmh^(-1) above the ground towards a target and releases a bomb. After how much time it will hit the target and what will be the horizontal distance of the aeroplane from the target so that the bomb should hit the target ? (Take g = 10 ms^(-2))

A ball is projected from a point A with some velocity at an angle 30^@ with the horizontal as shown in (Fig. 5.204). Consider a target at point B . The ball will hit the target if it thrown with a velocity v_0 equal to. .

RESONANCE ENGLISH-TEST PAPERS-PHYSICS
  1. Find the distance travelled by a body having velocity v = 1 - t^(2) fr...

    Text Solution

    |

  2. A block B is placed on the block A.The mass of block B is less than th...

    Text Solution

    |

  3. A bullet with muzzle velocity 100 m s^-1 is to be shot at a target 30 ...

    Text Solution

    |

  4. A block of mass m(1) on asmooth, horizontal surface is connected to a...

    Text Solution

    |

  5. A force of (3hati-1.5hatj)N acts on 5kg body. The body is at a positio...

    Text Solution

    |

  6. A body of mass 2 kg is moving under the influence of a central force w...

    Text Solution

    |

  7. A block of mass m is pulled by a constant power P placed on a rough ho...

    Text Solution

    |

  8. Write the dimensions of a//b in the relation P = ( a - t^(2))/( bx) , ...

    Text Solution

    |

  9. The time dependence of a physical quantity P is given by P = P(0)e^(-a...

    Text Solution

    |

  10. Two cars start off a race with velocities 2m//s and 4m//s travel in st...

    Text Solution

    |

  11. A point moves in x-y plane according to the law x=4 sin 6t and y=4 (1-...

    Text Solution

    |

  12. A particle is moved from (0, 0) to (a, a) under a force F =(x^(2)hati...

    Text Solution

    |

  13. Two block of mass 2kg are connected by a massless ideal spring of spri...

    Text Solution

    |

  14. The potential energy between two atoms in a molecule is given by U(x)=...

    Text Solution

    |

  15. A block of mass m is stationary on a rough inclined plane making an an...

    Text Solution

    |

  16. A spring of weight W and force constant k is suspended is a horizontal...

    Text Solution

    |

  17. Find out velocity of block B in the given figure : (all the pulleys ar...

    Text Solution

    |

  18. A variable force F acts on a body which is free to move. The displacem...

    Text Solution

    |

  19. An insect of mass m is initially at one end of a stick of length L and...

    Text Solution

    |

  20. A block of mass 2 kg si kept at rest at x = 0, on a rough horizontal s...

    Text Solution

    |