Home
Class 11
PHYSICS
The distance between the rails of the tr...

The distance between the rails of the track is `1.67` m. How much the outer rail be elecated for curve of `0.5`km radius, so that a train moving with speed `54kmh^(-1)` can take safe turn on track.

A

80 mm

B

75 mm

C

60 mm

D

75 mm

Text Solution

Verified by Experts

The correct Answer is:
B

h elevation of outer rail over inner rail.
`h=(dv^(2))/(gr)`
`h=(1.67xx(15)^(2))/(10xx0.5xx1000)`
`=0.075m=75mm`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    DC PANDEY|Exercise Match the columns|3 Videos
  • CIRCULAR MOTION

    DC PANDEY|Exercise Medical entrances s gallery|19 Videos
  • CIRCULAR MOTION

    DC PANDEY|Exercise Check point|45 Videos
  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 2 Subjective|21 Videos
  • COMMUNICATION SYSTEM

    DC PANDEY|Exercise Only One Option is Correct|27 Videos

Similar Questions

Explore conceptually related problems

A train is moving at the rate of 60 km per hour around a curve of radius 500 m and the distance between the rails is 170 cm. By how much the outer rail be raised above the inner one so that there may be no lateral thrust on the outer rails ? ( g= 9.8 ms^(-2))

A railway track goes around a curve having a radius of curvature of 1 km. The distance between the rails is 1 m. Find the elevation of the outer rail above the inner rail so that there is no side pressure against the rails when a train goes round the curve at 36km//hr

The radius of curvature of railway line at a place is 200 m. If the distance between the rail is 1.6 m and the outer rail is raised by 0.08 m above the inner rail .The speed of the train for which there is no side pressure on the rails (g=10 m//s^(2))

A train of mass 100 tons (1 tons =1000kg) runs on a meter gauge track ( distance between the two rails is 1m) . The coefficient of friction between the rails and the train is 0045 . The train is powered by an electric engine of 90% efficiency. The train is moving with uniform speed of 72 kmph at its highest speed limilt . Horizontal and vertical component of earth's magnetic field and B_(H)=10^(-5)T and B_(V)=2xx10^(-5)T . Assume the body of the train and rails to be perfectly conducting. The potential difference between the two rails is

A train of mass 100 tons (1 tons =1000kg) runs on a meter gauge track ( distance between the two rails is 1m) . The coefficient of friction between the rails and the train is 0045 . The train is powered by an electric engine of 90% efficiency. The train is moving with uniform speed of 72 kmph at its highest speed limilt . Horizontal and vertical component of earth's magnetic field and B_(H)=10^(-5)T and B_(V)=2xx10^(-5)T . Assume the body of the train and rails to be perfectly conducting. The electrical power consumed by the trains is

A train of mass 100 tons (1 tons =1000kg) runs on a meter gauge track ( distance between the two rails is 1m) . The coefficient of friction between the rails and the train is 0045 . The train is powered by an electric engine of 90% efficiency. The train is moving with uniform speed of 72 kmph at its highest speed limilt . Horizontal and vertical component of earth's magnetic field and B_(H)=10^(-5)T and B_(V)=2xx10^(-5)T . Assume the body of the train and rails to be perfectly conducting. If now a resistor of 10^(-3)Omega is attached of between the rwo rails, the extra units of energy ( electricity) consumed dueing a 324 km rund of the train is ( 1 unit of power =1kW Hour ) ( assume the speed of train to remain unchanged.

A train has to negotiate a curve of radius 2000 m. By how much should the outer rail be raised with respect to inner rail for a speed of 72"km h^(-1) . The distance between the rails is 1 m.

A trains has to negotiate a curve of radius 400 m . By how much should the outer rail be raised with respect to the inner rail for a for a speed of 48 km h^(-1) ? The distance between the rails is 1m.

A train has to negotiate a curve of radius 800 m. By how much height should the outer rail be raised with respect to inner rail for a speed of 96kmh^(-1) ? The distance between the rails is 1 m

The radius of curvature of a railway track at a place where the train is moving at a speed of 72 kmh^(-1) is 625m . The distance between the rails is 1.5 m. Find the angle and the elevation of the outer rail so that there may be no side pressure on the rails, Take g = 9.8 ms^(-2) .

DC PANDEY-CIRCULAR MOTION-Taking it together
  1. In 1.0 s, a particle goes from point A to point B , moving in a semici...

    Text Solution

    |

  2. A fan makes 2400 rpm. If after it is switched off, it comes to rest in...

    Text Solution

    |

  3. The distance between the rails of the track is 1.67 m. How much the ou...

    Text Solution

    |

  4. A car is moving on a circular path and takes a turn. If R(1) and R(2) ...

    Text Solution

    |

  5. An unbanked curve has a radius of 60m. The maximum speed at which a ca...

    Text Solution

    |

  6. A particle is moving in a circle with uniform speed v . In moving fro...

    Text Solution

    |

  7. A motor cyclist riding at 36kmh^(-1) has turn a corner. Find the least...

    Text Solution

    |

  8. A circular curve of a highway is designed for traffic moving at 72 km/...

    Text Solution

    |

  9. A particle of mass m is moving in a plane along a circular path of rad...

    Text Solution

    |

  10. A conical pendulum of length L makes an angle theta with the vertical....

    Text Solution

    |

  11. A body of mass 1 kg is moving in a vertical circular path of radius 1 ...

    Text Solution

    |

  12. A particle is moving along a circular along a circular path of radius ...

    Text Solution

    |

  13. If the banking angle of curved road is given by tan^(-1)((3)/(5)) and ...

    Text Solution

    |

  14. A moter-cyclist moving with a velocity of 144 kmh^(-1) on a flat road ...

    Text Solution

    |

  15. A train has to negotiate a curve of radius 800 m. By how much height s...

    Text Solution

    |

  16. A car wheel is rotated to uniform angular acceleration about its axis....

    Text Solution

    |

  17. A pendulum bob on a 2 m string is displaced 60^(@) from the vertical a...

    Text Solution

    |

  18. The bob of a 0.2 m pendulum describes an arc of circle in a vertical p...

    Text Solution

    |

  19. In a typical projectile motion, tangential acceleration at the topmost...

    Text Solution

    |

  20. A jeep runs around a curve of radius 0.3 km at a constant speed of 60m...

    Text Solution

    |