Home
Class 12
PHYSICS
An electric bulb, connected to a make an...

An electric bulb, connected to a make and break power supply, switches off and on every second in its rest frame. What is the frequency of its switching off and on as seen from a spaceship travelling at a speed 0.8c?

Text Solution

Verified by Experts

Given ` v = 0.8 c `
` f' = f (sqrt 1 - v^(2) / c^(2))`
` f' = (sqrt 1-0.64 c^(2) / c^(2)) `
= (sqrt 0.36) = 6 s^(-1) ` .
Promotional Banner

Topper's Solved these Questions

  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA ENGLISH|Exercise Short answer|2 Videos
  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA ENGLISH|Exercise Objective 2|1 Videos
  • THE NUCLEOUS

    HC VERMA ENGLISH|Exercise Short answer|12 Videos
  • THERMAL AND CHEMICAL EFFECT OF ELECTRIC CURRENT

    HC VERMA ENGLISH|Exercise Short Question|9 Videos

Similar Questions

Explore conceptually related problems

A thin taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y(x,t) = (5.60 cm) sin [(0.0340 "rad"/cm)x] sin [(50.0 "rad"/s)t] , where the origin is at the left end of the string, the x-axis is along the string and the y-axis is perpendicular to the string. (a) Draw a sketch that shows the standing wave pattern. (b)Find the amplitude of the two travelling waves that make up this standing wave. (c) What is the length of the string? (d) Find the wavelength, frequency, period and speed of the travelling wave. (e) Find the maximum transverse speed of a point on the string. (f) What would be the equation y(x,t) for this string if it were vibrating in its eighth harmonic?

One morning an old man walked bare-foot to replacce the fuse wire in kit kat fitted with the power supply mains for his house. Suddenly he screamed and collapsed on the floor. His wife cried loudly for help. His neighbour's son Anil heard the crises and rushed to the place with shoes on. He took a wooden baton and used it to switch off the main supply . Answer the following questions. (i) what is the voltage and frequency of mains supply in India ? (ii) Can a transformer be used to step up d.c. voltage ? (iii) write two qualities displayed by Anil by his action.

A metal block is placed in a room which is at 10^(@)C for long time. Now it is heated by an electric heater of power 500 W till its temperature becomes 50^(@)C . Its initial rate of rise of temperature is 2.5^(@)C//sec . The heater is switched off and now a heater of 100W is required to maintain the temperature of the block at 50^(@)C . (Assume Newtons Law of cooling to be valid) What is the rate of cooling of block at 50^(@)C if the 100W heater is also switched off?

A ball is thrown upwards with a speed of 40m//s . When the speed becomes half of the initial speed, gravity is switched off for next 2 second. After that gravity is again switched on but magnitude gravity is doubled. The total distance travelled by the ball from t=0 to the time when the ball reaches the maximum heighth is 55beta . Find the value of beta .

A metal block is placed in a room which is at 10^(@)C for long time. Now it is heated by an electric heater of power 500 W till its temperature becomes 50^(@)C . Its initial rate of rise of temperature is 2.5^(@)C//sec . The heater is switched off and now a heater of 100W is required to maintain the temperature of the block at 50^(@)C . (Assume Newtons Law of cooling to be valid) What is the heat capacity of the block?

When a car of 3mass 1000 kg is moving with a velocity of 20ms^(-1) on a rough horizontal road, its engine is switched off. How far does the car move before it comes to rest if the coefficient of kinetic friction between the road and tyres of the car is 0.75 ?

A long straight wire of negligible resistance is bent into V shape, its two arms making an angle alpha with each other and placed horizotally in a vertical, homogeneous field B. A rod of total mass m, and resistance r per unit length, is placed on V shaped conductor, at a distance x_(0) from its vertex A, and perpendicular to the bisector of angle alpha (see fegure) The rod is started off with an initial veloctiy v_(0) in the direction of bisector and away from vertex A. The rod is long enough not to fall off the wire during the subsquent motion, and the electrical contact between the two is good although friction between them is negligible. Choose CORRECT statements(s)

A metal rod OA of mann 'm' and length 'r' is kept rotating with a constantangular speed omega in a vertical plane about a horizontal axis at the end O. The free end A is arraged to slide without friction along fixed conduction circular ring in the same plane as that of rotation. A uniform and constant magnetic induction vec(B) is applied perpendicular and into the plane of rotation as shown in the figure below. An inductor L and an external resistance R are connected through a swithch S between the point O and a point C on the ring to form an electrical circuit. Neglect the resistance of the ring and the rod. Initially, the switch is open. (a) What is the induced emf across the teminal of the switch? (b) The switch S is closed at time t=0. (i) Obtain an expression for the current as a function of time. (ii) In the steady state, obtin the time dependence of the torque required to maintain the constant angular speed, given that the rod OA was along th positive X-axis at t=0.

An electric toaster uses nichrome for its heating element. When a negligibly small current passes through it. It resistance at room temperature (27.0^@C) is found to be 75.3Omega . When the toaster is connected to a 230 V supply, the current settles, after a few seconds, to a steady value of 2.68 A . What is steady temperature of the nichrome element? The temperature coefficient of resistance of nichrome averaged over the temperature range involved , 1.70xx10^-4C^-1

At the instant, the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.20 ms^(-2) , At the some instant, a truck travelling with a constant speed of 20.0 ms^(-1) , overtakes and passes the car. a. At what distance from its starting point does the car overtake the truck? b. Calculate the speed of the car when it overtakes the truck. c. Sketch an x-t graph of themotion of both vehicles. Take x-0 at the intersection. d. Sketch a v_(x)-t graph of the motion of both vehicles.

HC VERMA ENGLISH-THE SPECIAL THEORY OF RELATIVITY-Exercise
  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 elactron 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

    |