Home
Class 11
PHYSICS
A stone is dropped from the top of a tow...

A stone is dropped from the top of a tower of height `h`. Aftre `1 s` another stone is droppped from the balcony `20 m` below the top. Both reach the bottom simultaneously. What is the value of `h` ? Take `g=10 ms^(-2)`.

A

`31 5m`

B

` 312.5 m`

C

` 3125 m`

D

` 25,31`

Text Solution

Verified by Experts

The correct Answer is:
C

`h=(1)/(2) g t^(2)` and `h-20=(1)/(2)g(t-1)^(2)`
Solving them, we get `t=2.5 s` and `h=31.25 m`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Graphical Concept|17 Videos
  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Graphical cancept|1 Videos
  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Subjective|29 Videos
  • GRAVITATION

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos
  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise Integer|9 Videos

Similar Questions

Explore conceptually related problems

A stone is dropped from the top of a tower. When it crosses a point 5 m below the top, another stone is let fall from a point 25 m below the top. Both stones reach the bottom of the tower simultaneously. Find the height of the tower. Take g = 10 m//s^2.

A stone dropped from the top of a tower reaches the ground in 3 s. The height of the tower is

A stone is dropped from the top of a tower. If it hits the ground after 10 seconds, what is the height of the tower?

A particle is dropped from the top of a tower. When it has travelled a distance of 5m , another particle is dropped from a distance of 25m below the top of tower. If both of them reach the bottom of tower simultaneously, then find the height of tower.

A stone is released from the top of a tower of height 1960 m. calculate the time taken by the stone to hit the ground.

A stone is dropped from the top of tower. When it has fallen by 5 m from the top, another stone is dropped from a point 25m below the top. If both stones reach the ground at the moment, then height of the tower from grounds is : (take g=10 m//s^(2) )

.A stone is dropped from the top of a building.When it crosses a point 5m .below the top,another stone starts to fall from a point 25m below the top.Both stones reach the bottom of building simultaneously. The height of the building is

A ball is dropped from the top of an 80 m high tower After 2 s another ball is thrown downwards from the tower. Both the balls reach the ground simultaneously. The initial speed of the second ball is

A stone dropped from the top of the tower touches the ground in 4 sec. The height of the tower is about

CENGAGE PHYSICS-KINEMATICS-1-Single Correct
  1. A thief is running away on a straitht road in a moving with a speed of...

    Text Solution

    |

  2. A ball is released from the top of a tower of height H m. After 2 s is...

    Text Solution

    |

  3. A stone is dropped from the top of a tower of height h. Aftre 1 s anot...

    Text Solution

    |

  4. A train 100 m long travelling at 40 ms^(-1) starts overtaking another ...

    Text Solution

    |

  5. A juggler throws ball into air. He throus one whenever the previus one...

    Text Solution

    |

  6. A stone thrown upwards with speed u attains maximum height h. Ahother ...

    Text Solution

    |

  7. A bolldropped from the top of a tower covers a distance 7x in the last...

    Text Solution

    |

  8. The relation between time t and displacement x is t = alpha x^2 + beta...

    Text Solution

    |

  9. The displacement x of a particle moving in one dismension under the ac...

    Text Solution

    |

  10. The distance moved by a freely falling body (startibg from rest) durin...

    Text Solution

    |

  11. A drunkard is walking along a stsraight road. He takes five steps forw...

    Text Solution

    |

  12. A stone is dropped from a certain heitht which can reach the ground in...

    Text Solution

    |

  13. A body travels a distance of 2 m in 2 seconds and 2.2m next 4 secs. Wh...

    Text Solution

    |

  14. A body starts from rest and travels a distance S with uniform accelera...

    Text Solution

    |

  15. A body sliding on a smooth inclined plane requires 4s to reach the bot...

    Text Solution

    |

  16. B(1),B(2), and B(3), are three balloos ascending with velocities v, 2v...

    Text Solution

    |

  17. A particle is dropped from rest from a large height Assume g to be con...

    Text Solution

    |

  18. A ball is dropped into a well in which the water level is at a depth h...

    Text Solution

    |

  19. If particled travels n equal distances with speeds v(1), v(2),…v(n), t...

    Text Solution

    |

  20. A ball is thrown from the top of a tower in vertically upward directio...

    Text Solution

    |