Home
Class 12
PHYSICS
The passenger of example slept with his ...

The passenger of example slept with his head towards the engine and feet towards the guard's coach. If he measured 6 ft in the train frame, how tall is he in the ground frame ?

Text Solution

Verified by Experts

In the ground frame, the passanger is moving with a velocity c / 10 . His length is thus contacterd. The length measured in the train frame is the rest length of the passenger as the passenger is at rest in the train. Thus , his length in the ground frame is
` L' = 6 ft (sqrt 1 - (1 / 10 )^(2)) = 6 ft (sqrt 99 / 100 ) = 5 feet 11.6 inches`.
Promotional Banner

Topper's Solved these Questions

  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA|Exercise worked out example|8 Videos

  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA|Exercise Short answer|5 Videos

  • THE NUCLEOUS

    HC VERMA|Exercise Exercises|53 Videos

  • THERMAL AND CHEMICAL EFFECT OF ELECTRIC CURRENT

    HC VERMA|Exercise Exercises|24 Videos

Similar Questions

Explore conceptually related problems

Ravi is 1.82m tall. He wants to find the height of a tree in his backyard. From the tree’s base he walked 12.20 m. along the tree’s shadow to a position where the end of his shadow exactly overlaps the end of the tree’s shadow. He is now 6.10m from the end of the shadow. How tall is the tree ?

In a beautiful valley, there was a village. When trains passed from the village, the whistle and the sound of train, mixed with the sound of waterfall, seemed to be very pleasant to everyone. Hence, children of that village used to play near the railway track. Once on a very light foggy day, a group of children found that a fish plate was missing from the track. As such, all the villagers were worried. Prashant, one of the children, suddenly put his ear to the line and tried to know whether a train is coming or not. He knew a train is coming. He asked his friends to inform the railway cabin crew and he himself put off his red shirt and started running towards the train, waving his red shirt. The driver and cabin man got the alert signal in time and thus a major accident was averted. Why did Prashant use his red shirt instead of any other coloured shirts ?

In a beautiful valley, there was a village. When trains passed from the village, the whistle and the sound of train, mixed with the sound of waterfall, seemed to be very pleasant to everyone. Hence, children of that village used to play near the railway track. Once on a very light foggy day, a group of children found that a fish plate was missing from the track. As such, all the villagers were worried. Prashant, one of the children, suddenly put his ear to the line and tried to know whether a train is coming or not. He knew a train is coming. He asked his friends to inform the railway cabin crew and he himself put off his red shirt and started running towards the train, waving his red shirt. The driver and cabin man got the alert signal in time and thus a major accident was averted. What moral values do you learn from Prashant ?

In a beautiful valley, there was a village. When trains passed from the village, the whistle and the sound of train, mixed with the sound of waterfall, seemed to be very pleasant to everyone. Hence, children of that village used to play near the railway track. Once on a very light foggy day, a group of children found that a fish plate was missing from the track. As such, all the villagers were worried. Prashant, one of the children, suddenly put his ear to the line and tried to know whether a train is coming or not. He knew a train is coming. He asked his friends to inform the railway cabin crew and he himself put off his red shirt and started running towards the train, waving his red shirt. The driver and cabin man got the alert signal in time and thus a major accident was averted. Name the two physical phenomena of science used by Prashant.

A 1.5m tall boy is standing at some distance from a 30m tall building. The angle of elevation from his eyes to the top of the building increase from 30^(@) " to " 60^(@) as he walks towards the building. Find the distance he walked towards the building.

A siren placed at a railway platform is emitting sound of frequency 5 kHz . A passenger sitting in a moving train A records a frequency of 5.5kHz while the train approaches the siren. During his return journey in a different train B he records a frequency of 6.0 kHz while approaching the same siren. the ratio the velocity of train B to that of train A is

Two speakers are driven by the same oscillator with frequency of 200 Hz. They are located 4 m part on a vertical pole. A man walks straight towards the lower speaker in a direction perpendicular to the pole, as shown in figure. (i) How many times will he hear a minimum in sound intensity, and (ii) how far is he from the pole and at these moments ? Take the speed of sound to be 330 m/s, and ignore any sound reflections coming off the ground. .

Einstein in 1905 proppunded the special theory of relativity and in 1915 proposed the general theory of relativity. The special theory deals with inertial frames of reference. The general theory of relativity deals with problems in which one frame of reference. He assumed that fixed frame is accelerated w.r.t. another frame of reference of reference cannot be located. Postulated of special theory of realtivity ● The laws of physics have the same form in all inertial systems. ● The velocity light in empty space is a unicersal constant the same for all observers. ● Einstein proved the following facts based on his theory of special relativity. Let v be the velocity of the speceship w.r.t a given frame of reference. The obserations are made by an observer in that reference frame. ● All clocks on the spaceship wil go slow by a factor sqrt(1-v^(2)//c^(2)) ● All objects on the spaceship will have contracted in length by a factor sqrt(1-v^(2)//c^(2)) ● The mass of the spaceship increases by a factor sqrt(1-v^(2)//c^(2)) ● Mass and energy are interconvertable E = mc^(2) The speed of a meterial object can never exceed the velocity of light. ● If two objects A and B are moving with velocity u and v w.r.t each other along the x -axis, the relative velocity of A w.r.t. B = (u-v)/(1-uv//v^(2)) One cosmic ray particle appraches the earth along its axis with a velocity of 0.9c towards the north the and another one with a velocity of 0.5c towards the south pole. The relative speed of approcach of one particle w.r.t. another is-

Einstein in 1905 proppunded the special theory of relativity and in 1915 proposed the general theory of relativity. The special theory deals with inertial frames of reference. The general theory of relativity deals with problems in which one frame of reference. He assumed that fixed frame is accelerated w.r.t. another frame of reference of reference cannot be located. Postulated of special theory of realtivity ● The laws of physics have the same form in all inertial systems. ● The velocity light in empty space is a unicersal constant the same for all observers. ● Einstein proved the following facts based on his theory of special relativity. Let v be the velocity of the speceship w.r.t a given frame of reference. The obserations are made by an observer in that reference frame. ● All clocks on the spaceship wil go slow by a factor sqrt(1-v^(2)//c^(2)) ● All objects on the spaceship will have contracted in length by a factor sqrt(1-v^(2)//c^(2)) ● The mass of the spaceship increases by a factor sqrt(1-v^(2)//c^(2)) ● Mass and energy are interconvertable E = mc^(2) The speed of a meterial object can never exceed the velocity of light. ● If two objects A and B are moving with velocity u and v w.r.t each other along the x -axis, the relative velocity of A w.r.t. B = (u-v)/(1-uv//v^(2)) The momentum of an electron moving with a speed 0.6 c (Rest mass of electron is 9.1 xx 10^(-31 kg )

Einstein in 1905 proppunded the special theory of relativity and in 1915 proposed the general theory of relativity. The special theory deals with inertial frames of reference. The general theory of relativity deals with problems in which one frame of reference. He assumed that fixed frame is accelerated w.r.t. another frame of reference of reference cannot be located. Postulated of special theory of realtivity ● The laws of physics have the same form in all inertial systems. ● The velocity light in empty space is a unicersal constant the same for all observers. ● Einstein proved the following facts based on his theory of special relativity. Let v be the velocity of the speceship w.r.t a given frame of reference. The obserations are made by an observer in that reference frame. ● All clocks on the spaceship wil go slow by a factor sqrt(1-v^(2)//c^(2)) ● All objects on the spaceship will have contracted in length by a factor sqrt(1-v^(2)//c^(2)) ● The mass of the spaceship increases by a factor sqrt(1-v^(2)//c^(2)) ● Mass and energy are interconvertable E = mc^(2) The speed of a meterial object can never exceed the velocity of light. ● If two objects A and B are moving with velocity u and v w.r.t each other along the x -axis, the relative velocity of A w.r.t. B = (u-v)/(1-uv//v^(2)) A stationary body explodes into two fragments each of rest mass 1 kg that move apart at speed of 0.6c relative to the original body. The rest mass of the original body is -

HC VERMA-THE SPECIAL THEORY OF RELATIVITY-Exercises
  1. The passenger of example slept with his head towards the engine and fe...

    Text Solution

    |

  2. The guru of a yogi lives in a Himalyan cave, 1000 km away from the hou...

    Text Solution

    |

  3. The length of a rod is exactly 1 m when measured at rest . What will b...

    Text Solution

    |

  4. A person standing on a platform finds that a train moving with velocit...

    Text Solution

    |

  5. An aerplane travels over a rectangular field 100 m xx 50m parallel to ...

    Text Solution

    |

  6. The rest distance between patna and Delhi is 1000 km. A nonstop train ...

    Text Solution

    |

  7. A person travels by a car at a speed of 180 kmh^(-1) . It takes exactl...

    Text Solution

    |

  8. A person travels on a spaceship moving at a speed of 5c / 13. (a) Find...

    Text Solution

    |

  9. According to the station clocks, two babies are born at the same insta...

    Text Solution

    |

  10. Two babies are born in a moving train, one in the compartment adjacent...

    Text Solution

    |

  11. Suppose Swrglok (heaven) is in constant motion at a speed of 0.9999c w...

    Text Solution

    |

  12. If a person lives on the average 100 years in his rest frame, how long...

    Text Solution

    |

  13. An electric bulb, connected to a make and break power supply, switche...

    Text Solution

    |

  14. A person travelling by a car moving at 100 km h^(-1) finds that his wr...

    Text Solution

    |

  15. At what speed the volume of an object shrinks to half its rest value ...

    Text Solution

    |

  16. A particular particle created in a nuclear reactor leaves a 1cm track ...

    Text Solution

    |

  17. By what fraction does the mass of a spring is 200 g at its natural le...

    Text Solution

    |

  18. Find the increase in mass when 1 kg of water is heated from 0^@C to 10...

    Text Solution

    |

  19. Find the loss in the mass of 1 mole of an ideal monatomic gas kept in ...

    Text Solution

    |

  20. By what fraction does the mass of a boy increase when he starts runni...

    Text Solution

    |

  21. A 100 W bulb together with its power supply is suspended from a sensit...

    Text Solution

    |