Home
Class 11
PHYSICS
Theory of reltivity reveals that mass ca...

Theory of reltivity reveals that mass can be converted into energy. The energy E so obtained is proportional to certain powers of mass m and the speed c of light. Guess a relation among the quantities using the method of dimensions.

Text Solution

Verified by Experts

The correct Answer is:
B, C

Let Energy `E alpha M^aC^b, where, M=Mass, C=speed of light rarr E= KM^aC^b`
Where K= PrroprtioN/Ality constant Dimension of left side `E=[ML^2T^-2]` Dimension of right side `M^aC^b, = M^a[LT^-1]^b, [ML^2T^-2]=[Ma][LT^-1]^b
rarra=1
b=2`
So, the relation is `E=KMC^2`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO PHYSICS

    HC VERMA|Exercise Objective 2|3 Videos
  • HEAT TRANSFER

    HC VERMA|Exercise EXERCIESE|1 Videos
  • KINETIC THEORY OF GASES

    HC VERMA|Exercise Exercises|62 Videos

Similar Questions

Explore conceptually related problems

If E=mc^(2) wher m= mass of the body c= speed of light Guess the name of physical quantity E .

When a solid moves therough a liquid, the liquid opposes the miotioon with a force F. The magnitude of F depends on the coefficient of viscosity eta of the liquid, the radius r of the sphere aknd the speed v of the sphere. Assuming that F is proportional to different powers of these quantities, guess a formula for F using the method of dimension.

The speed of transverse wave v in a stretched string depend on length tension T in the string and liner mass density (mass per unit length). mu . Find the relation using method of dimensions.

According to Einstein's theory of relativity, mass can be converted into energy and vice-versa. The lightest elementary partical, taken to be the electron, has a mass equivalent to 0.51 MeV of energ. Then, we can say that

The dimensions of the area A of a black hole can be written in terms of the universal gravitational constant G, its mass M and the speed of light c as A=G^(alpha)M^(beta)c^(gamma) . Here -

A massive object in space causes gravitational lensing. Light from a distant source gets deflected by a massive lensing object. This was first observed in 1919 and supported Einstein’s general theory of relativity. The angle theta by which light gets deflected due to a massive body depends on the mass (M) of the body, universal gravitational constant (G), speed of light (c) and the least distance (r) between the lensing object and the apparent path of light. Derive a formula for theta using method of dimensions. Make suitable assumptions.

If m is the mass of an electron and c the speed of light, the ratio of the wavelength of a photon of energy E to that of the electron of the same energy is

An electron of mass m and a photon have same energy E. The ratio of wavelength of electron to that of photon is : ( c being the velocity of light )

A famous relation in phyics relates the 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 the special theory of relativity due to Albert Einstein). A body 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 .

HC VERMA-INTRODUCTION TO PHYSICS-Exercises
  1. Find the dimensions of a. linear momentum b. frequency and c. pr...

    Text Solution

    |

  2. Find the dimensions of a. angular speed omega angular acceleration...

    Text Solution

    |

  3. Find the dimensions of a. electric field E, magnetic field B and ...

    Text Solution

    |

  4. Find the dimensions of a. electric dipole moment p and b. magnetic ...

    Text Solution

    |

  5. Find the dimensions of Planck's constant h from the equatioin E=hv whe...

    Text Solution

    |

  6. Find the dimensis of a. the specific heat capacity c, b. the coefi...

    Text Solution

    |

  7. Taking foce, length and time to be the fundamental quantities find the...

    Text Solution

    |

  8. Suppose the acceleration due to gravity at a place is 10 m/s^2. Find i...

    Text Solution

    |

  9. The average speed of a snails is 0.020 miles/ hour and that of a leopa...

    Text Solution

    |

  10. The height of mercury column in a barometer in a Calcutta laboratory ...

    Text Solution

    |

  11. Express the power of a 100 wtt bulb in CGS unit.

    Text Solution

    |

  12. The normal duratioin of I.Sc. Physics practical period in Indian colle...

    Text Solution

    |

  13. The surface tension of water is 72 dyne//cm. convert it inSI unit.

    Text Solution

    |

  14. The kinetic energy K of a rotating body depends on its moment of inert...

    Text Solution

    |

  15. Theory of reltivity reveals that mass can be converted into energy. Th...

    Text Solution

    |

  16. Let I= current through a conductor, R= its resistance and V= potential...

    Text Solution

    |

  17. The frequency of vibration of string depends on the length L between t...

    Text Solution

    |

  18. Test if the following equations are dimensionally correct: a h=(2Sco...

    Text Solution

    |

  19. Let x and a stand of distance is int(dx)/(sqrt(a^2-x^2)) = (1)/(alpha)...

    Text Solution

    |