Home
Class 11
PHYSICS
A famous relation in physics relates 'mo...

A famous relation in physics relates 'moving mass' m to the 'rest mass' `m_(0)` of a particle in terms of its speed v and the speed of light,c. (This relation first arose as a consequence of special relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant c. He writes:
`m=(m_(0))/((1-v^(2))^(1//2))`
Guess where to put the missing c.

Text Solution

Verified by Experts

The correct formula is `m=m^(0)(1-v^(2)//c^(2))^(-1//2)`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    NCERT GUJARATI|Exercise EXERCISE (ADDITIONAL EXERCISE)|9 Videos
  • UNITS AND MEASUREMENT

    NCERT GUJARATI|Exercise Exercise (Fill in the blanks)|8 Videos
  • THERMODYNAMICS

    NCERT GUJARATI|Exercise EXERCISES|10 Videos
  • WAVES

    NCERT GUJARATI|Exercise Exercises|27 Videos

Similar Questions

Explore conceptually related problems

An electron with rest mass m_(0) moves with a speed of 0.8c.Its mass when it moves with this speed is…….

de-Borglie wavelength of particle moving at a (1^(th))/(4) od speed of light having rest mass m_(0) is….

A nucleus of mass M + Deltam is at rest and decays into two daughter nuclei of equal mass M/2 each. Speed of light is C. The speed of deughter nuclei is :-

A particle of mass m moving in the x - direction with speed 2c is hit by another particle of mass 2m moving in the y - direction with with speed v . If the collision is perfectly inelastic , the percentage loss in the enrgy during the collision is close to .

A mass m_(1) moves with a great velocity. It strikes another mass m_(2) at rest in head-on collision. It comes back along its path with low speed after collision. Then

The equation of motion of a particle of mass 1g is (d^(2)x)/(dt^(2)) + pi^(2)x = 0 , where x is displacement (in m) from mean position. The frequency of oscillation is (in Hz)

A particle of mass 4 m which is at rest explodes into masses m, m & 2m . Two of the fragments of masses m and 2m are found to move with equal speeds v each in opposite directions. The total mechanical energy released in the process of explosion is :-

A particle of mass 1 kg moves in a circular path of radius 1 m such that its speed varies with time as per equation v=3t^(2)m//s where time t is in seconds. The power delivered by the force acting on the paritcle at t=1s , is :-

Values of mu_(r ) and in_(0) are respectively 2 NA^(-2) and 8C^(2)N^(-1)m^(-2) , then speed of light is ….

Let us consider an equation (1)/(2)mv^(2)=mgh Where m is the mass of the body. V its velocity , g is the acceleration due to gravity and h is the height . Check whether this equation is dimensionally correct.

NCERT GUJARATI-UNITS AND MEASUREMENT-EXERCISE
  1. A screw gauge has a pitch of 1.0mm and 200 divisions on the circular s...

    Text Solution

    |

  2. The mean diameter of a thin brass rod is to be measured by vernier cal...

    Text Solution

    |

  3. The photograph of a house occupies an area of 1.75 cm^(2) on a 35 mm s...

    Text Solution

    |

  4. State the number of significant 0.007 m^(2)

    Text Solution

    |

  5. State the number of significant 2.64xx10^(24) kg

    Text Solution

    |

  6. State the number of significant 0.2370 g cm^(-3)

    Text Solution

    |

  7. The length , breadth and thickness of a rectangular sheet of metal are...

    Text Solution

    |

  8. The mass of a box measured by a grocer's balance is 2.30 kg. Two gold ...

    Text Solution

    |

  9. A physical quantity P is related to four observables a,b,c and d as fo...

    Text Solution

    |

  10. A book with many printing errors contains four different formulas for ...

    Text Solution

    |

  11. A famous relation in physics relates 'moving mass' m to the 'rest mass...

    Text Solution

    |

  12. The unit of length conventent on the atomic scale is known as an angs...

    Text Solution

    |

  13. One mole of an ideal gas at standard temperature and pressure occupies...

    Text Solution

    |

  14. Explain this common observation clearly: If you look out of the window...

    Text Solution

    |

  15. The principle of 'parallax' in section 2.3.1 is used in the determinat...

    Text Solution

    |

  16. The nearest star to our solar system is 4.29 light years away. How muc...

    Text Solution

    |

  17. Precise measurements of physical quantities are a need of science. For...

    Text Solution

    |

  18. Just as precise measurements are necessary in science, it is equally i...

    Text Solution

    |

  19. The Sun is a hot plasma (ionized matter) with its inner core at a temp...

    Text Solution

    |

  20. When the planet Jupiter is at a distance of 824.7 million kilometers f...

    Text Solution

    |