Home
Class 12
PHYSICS
Suppose Swrglok (heaven) is in constant ...

Suppose Swrglok (heaven) is in constant motion at a speed of 0.9999c with respect to the earth. According to the earth,s frame , how much time passes on the earth before one day passes on Swarglok?

Text Solution

Verified by Experts

Given ` v = 0.9999 C, `
`Delta t = One day in earth`
` Delta t ' = One day in heaven `
` v = 1 / (sqrt 1 - v^(2) / c^(2)) `
` = 1 / (sqrt 1 - (0.9999)^(2) c^(2) / c^(2) )`
` 1 / 0.014141782 = 70.712 `
Delta t' = v Delta t `
`Hence Delta t ' = 70.7 days in heaven ` .
Promotional Banner

Topper's Solved these Questions

  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA|Exercise Exercise|1 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

A satellite of mass M_(S) is orbitting the earth in a circular orbit of radius R_(S) . It starts losing energy slowly at a constant rate C due to friction if M_(e) and R_(e) denote the mass and radius of the earth respectively show that the satellite falls on the earth in a limit time t given by t=(GM_(S)M_(e))/(2C)((1)/(R_(e))-(1)/(R_(S)))

A rocket is fired vertically with a speed of 5 km s^(-1) from the earth’s surface. How far from the earth does the rocket go before returning to the earth ? Mass of the earth = 6.0 × 10^(24) kg, mean radius of the earth = 6.4 xx 10^(6) m , G = 6.67 xx 10^(-11) " N "m^(2) kg^(-2) .

Earth's orbit is an ellipse with eccentricity 0.0167. Thus the earth's distance from the sun and speed as it moves around the sun varles from day-to-day. This means that the length of the solar day is not constant through the year. Assume that the earth's spin axis is normal to its orbital plane and find out the length of the shortest and the longest day. A day should be taken from noon to noon. Does this explain variation of length of the day during the year?

A mat of mass 1kg and length 1m is placed on the floor. One end of the mat is pulled with a constant speed of 1m/s towards the other end till the other end comes in to motion (till the mat is reverse). How much force is required to do this ?

A trolley is moving horizontally with a constant velocty of v m//s w.e.t. earth. A man starts running from one end of the trolley with velocity 1.5v m//s w.r.t. to trolley. After reaching the opposite end, the man return back and continues running with a velocity of 1.5 v m//s w.r.t. the trolley in the baclward direction. If the length of the trolley is L then the displacement of the man with respect to earth during the process will be :-

Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30^(@) and 60^(@) with respect to the horizontal respectively as shown in figure . The speed of A is 100sqrt(3) m//s . At time t = 0 s , an observer in A finds B at a distance of 500 m . The observer sees B moving with a constant velocity perpendicular to the line of motion of A . If at t = t_(0) , A just escapes being hit by B ,t_(0) , A just escapes being hit by B , t_(0) in seconds is

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration At one instant it is rotating at 12 rad/s and after 80 radian of more angular displacement. its angular speed becomes 28 rad/s. How much time (seconds) does the disk takes to complete the mentioned angular displacement of 80 radians.

Figure shows a metal rod PQ resting on the smooth rails AB and positioned between the poles of a permanent magnet. The rails, the rod, and the magnetic field are in three mutual perpendicular directions. A galvanometer G connects the rails through a switch K. Length of the rod =15 cm, B =0.50 T, resistance of the closed loop containing the rod 9.0 m Omega . Assume the field to be uniform. (a) Suppose K is open and the rod is moved with a speed of 12 "cm s"^(-1) in the direction shown. Give the polarity and magnitude of the induced emf. (b) Is there an excess charge built up at the ends of the rods when K is open ? What if K is closed ? (c) With K open and the rod moving uniformly, there is no net force on the electrons in the rod PQ even though they do experience magnetic force due to the motion of the rod. Explain. (d) What is the retarding force on the rod when K is closed ? How much power is required (by an external agent) to keep the rod moving at the same speed (= 12 cm s^(-1) ) when K is closed ? How much power is required when K is open? (f)How much power is dissipated as heat in the closed circuit ? What is the source of this power ? (g) What is the induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular ?

A circus wishes to develop a new clown act. Fig. (1) shows a diagram of the proposed setup. A clown will be shot out of a cannot with velocity v_(0) at a trajectory that makes an angle theta=45^(@) with the ground. At this angile, the clown will travell a maximum horizontal distance. The cannot will accelerate the clown by applying a constant force of 10, 000N over a very short time of 0.24s . The height above the ground at which the clown begins his trajectory is 10m . A large hoop is to be suspended from the celling by a massless cable at just the right place so that the clown will be able to dive through it when he reaches a maximum height above the ground. After passing through the hoop he will then continue on his trajectory until arriving at the safety net. Fig (2) shows a graph of the vertical component of the clown's velocity as a function of time between the cannon and the hoop. Since the velocity depends on the mass of the particular clown performing the act, the graph shows data for serveral different masses. From figure 2, approximately how much time will it take for clown with a mass of 60 kg to reach the safety net located 10 m below the height of the cannot?

HC VERMA-THE SPECIAL THEORY OF RELATIVITY-Exercises
  1. According to the station clocks, two babies are born at the same insta...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The energy from the sun reaches just outside the earth's atmoshphere a...

    Text Solution

    |

  15. An elcetron and a positron moving at small speeds collide and annihila...

    Text Solution

    |

  16. Find the mass, the kinetic energy and the momentum of an electron movi...

    Text Solution

    |

  17. Through what potential difference should an electron be accelerated to...

    Text Solution

    |

  18. Find the speed of an elctron with kinetic energy (a) 1 eV , (b) 10 KeV...

    Text Solution

    |

  19. What is the kinetic energy of an electron in electronvolts with mass e...

    Text Solution

    |

  20. Find the speed at which the kinetic energy of a particle will differ ...

    Text Solution

    |