Home
Class 12
PHYSICS
A water pump driven by petrol raises wat...

A water pump driven by petrol raises water at a rate of 0.5 m' min from a depth of 30 m. If the pump is 70% efficient, what power is developed by the engine?

A

1750 W

B

2450 W

C

3500W

D

7000W

Text Solution

Verified by Experts

The correct Answer is:
c

Here mass/min. `(dm)/(dt)=500 kg min^(-1)`
=`(500)/(60)kg s^(-1)`
Also `(70)/(100)xxP=(mgh)/(t)`
or `P=(100)/(70).(mgh)/(t)`
=`(100)/(70)xx(500)/(6)xx9.8xx30`
=3500 W.
Promotional Banner

Topper's Solved these Questions

  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-III)|5 Videos
  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|8 Videos
  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Revision Test|40 Videos
  • WAVE OPTICS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|18 Videos

Similar Questions

Explore conceptually related problems

A motor pump lifts 6 tonnes of water from a well of depth 25 m to the first floor of height 35 m from the ground floor in 20 minutes. The power of the pump (in kW) is [ g = 10 m s^(-2) ]

A boat is travelling on a river with a speed of 3m/sec. The force on the boat by water is 500N. The power delivered by the engine of the boat is :

The power of motor pump is 2 KW. The water raised by the pump per minute to a height of 10 m. is nearly :

A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to :

A water tank filed with water has a hole in its wall at a distance of 2.5 m below its free surface. Find the velocity of efflux of water from this office. If the diameter of the orifice is 5 mm, find the rate of flow of water (g =9.8 ms^(-2)).

A runner weighing 60 kg raises the CG of his body by 0.25 m during each step of 1 min length. If he runs for 6 km and there is loss of 10% of the energy due to friction of air etc. What is the total energy required by him from his intake of food ?

To maintain a rotor at a uniform angular speed of 200 rad s-1, an engine needs to transmit a torque of 180 N m. What is the power required by the engine ? (Note: uniform angular velocity in the absence of friction implies zero torque. In practice, applied torque is needed to counter frictional torque). Assume that the engine is 100% efficient.

A pump on the ground floor of a building can pump up water to fill a tank of volume 30 m^(3) in 15 min . If the tank is 40 m above the ground and efficiency of the pump is 30% . How much power is consumed by the pump ? (Density of water 10^(3) kg m^(-3) , g = 9.8 ms^(-2) ) .

Water enters in a turbine at a speed of 500 m/s and leaves at 400 m/s. If 2 xx 10^(3) kg/s of water flows and efficiency is 75%, then output power is

MODERN PUBLICATION-WORK , POWER , ENERGY AND COLLISIONS-Multiple Choice Questions (LEVEL-II)
  1. A ball is allowed to fall from a height of 10 m. There is 40% loss of ...

    Text Solution

    |

  2. A force of 1 N acts on a body of mass 0.5 kg initially at rest. The ra...

    Text Solution

    |

  3. A water pump driven by petrol raises water at a rate of 0.5 m' min fro...

    Text Solution

    |

  4. A 1 kg block moving with a velocity of 4 mscollides with a stationary ...

    Text Solution

    |

  5. A body of mass 5 kg collides elastically with a stationary body of mas...

    Text Solution

    |

  6. A ball moving with a velocity ef 10 impinges on a vertical wall at an ...

    Text Solution

    |

  7. A slab S of mass m is released from a height, from the top of a spring...

    Text Solution

    |

  8. A body falls on the ground from a height of 10 metre and rebounds to a...

    Text Solution

    |

  9. In the above question the percentage loss of kinetic energy of the bod...

    Text Solution

    |

  10. A particle of mass 'm' at rest is acted upon by a force 'P for a time ...

    Text Solution

    |

  11. Two particles of masses m1 and m2 in projectile motion have velocities...

    Text Solution

    |

  12. A heavy ball is dropped from a height H on a horizontal floor. After t...

    Text Solution

    |

  13. A particle, which is constrained to move along the x-axis, is subjecte...

    Text Solution

    |

  14. An ideal spring with spring-constants bung from the celling and a bloc...

    Text Solution

    |

  15. If W1 W2 and W3 represent the work done in moving a particle from A to...

    Text Solution

    |

  16. A particle moves in a straight line with retardation propotional to it...

    Text Solution

    |

  17. A block P of mass m is placed on a frictionless horizontal surface. An...

    Text Solution

    |

  18. A block is acted upon by a force F = kx (where k is a positive constan...

    Text Solution

    |

  19. A mass 'm' moves with a velocity '' and collides inelastically with an...

    Text Solution

    |

  20. A body of mass m, accelerates uniformly from rest to v(1) in time t(1)...

    Text Solution

    |