Home
Class 12
PHYSICS
A physical quantity of the dimension of ...

A physical quantity of the dimension of length that can be formed out of `c,G` and `(e^(2))/(4 pi epsilon_(0))` is [`c` is velocity of light `G` is universal constant of gravitation, e is charge

A

`(1)/(c)G(e^(2))/(4piin_(0))`

B

`(1)/(c^(2))[G(e^(2))/(4piin_(0))]^(1//2)`

C

`c^(2)[G(e^(2))/(4piin_(0))]^(1//2)`

D

`(1)/(c^(2))[(e^(2))/(G4piin_(0))]^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -2|56 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos
  • WAVE MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET ADVANCED (INTEGER TYPE QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

A physical energy of the dimension of length that can be formula out of c,G and (e^(2))/(4 pi epsilon_(0)) is [ c is velocity of light G is universal constant of gravitation e is charge

The dimension of the quantity 1/epsilon_0 e^2/(hc) is (e charge of electron,h Planck's constant and c=velocity of light)

Find the dimensions of Gepsilon_(0) (G = Universal Gravitational constant, epsilon_(0)= permitivity in vaccum).

The dimensions of length are expressed as G^(x)c^(y)h^(z) , where G, c and h are the universal gravitational constant, speed of light and Planck's constant respectively, then :

The dimension of stooping potential V_(0) in photoelectric effect In units of Planck's constant 'h', speed of light 'c' and Gravitational constant 'G' and ampere A is:

A quantity f is given by f=sqrt((hc^(5))/(G)) where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of f is that of:

If int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C , where C is a constant of integration, then g(-1) is equal to

The characteristic distance at which quantum gravitational effect are significant the planck length can be determined form a suitable combination of the fundamental physical constant G h and c which of the followng correctly gives the planck length ?

The bohr radius is given by a_(0) = (epsilon_(0)h^(2))/(pi m e^(2)) verify that the RHS has dimesions of length

Dimensional formula of (e^(4))/(epsilon_(0)^(2)m_(p)m_(e)^(2)c^(3)G) is (Where e= charge , m_(p) and m_(c ) are masses, epsilon_(0)= permittivity of free space, c= velocity of light and G= gravitational constant)

AAKASH SERIES-UNITS AND MEASUREMENTS-EXERCISE -3
  1. The number of particles crossing a unit area perpendicular to the x - ...

    Text Solution

    |

  2. Turpentine oil is flowing through a tube of length L and radius r. The...

    Text Solution

    |

  3. The dimensional formula of the product of two physical quantities P an...

    Text Solution

    |

  4. The potential energy of a particle varies with distance x from a fixed...

    Text Solution

    |

  5. If the displacement y of a particle is y = A sin (pt + qx), then

    Text Solution

    |

  6. If the displacement y of a particle is y =A sin (pt+qx) then dimension...

    Text Solution

    |

  7. The vander waal's equation for a gas is (p + a/V^(2))(V - b) = nRT whe...

    Text Solution

    |

  8. If h is the Planck's constant, m = mass of the electron, e = charge of...

    Text Solution

    |

  9. A circular railway track of radius r is banked at angle theta so that ...

    Text Solution

    |

  10. The parameter (mQ^(4))/(epsilon(0)^(2)h^(2)) has the dimensions of ( m...

    Text Solution

    |

  11. The dimesions of (1)/(2)varepsilon(0)E^(2) (varepsilon(0) is the permi...

    Text Solution

    |

  12. If M is the magnetic moment, B is the magnetic induction and T is the ...

    Text Solution

    |

  13. A quantity X is given by epsi(0)L(DeltaV)/(DeltaT) where epsi(0) is th...

    Text Solution

    |

  14. In the relation: P=(alpha)/(beta)e^(-(alphaZ)/(ktheta)),P is pressure ...

    Text Solution

    |

  15. The length of a pendulum is measuredas 1,01 m and time for 30 oscillat...

    Text Solution

    |

  16. Resistance of a given wire is obtained by measuring the current flowin...

    Text Solution

    |

  17. In the equation ((1)/(pbeta))=(y)/(k(B)T), where p is the pressure, y ...

    Text Solution

    |

  18. If the time period t of the oscillation of a drop of liquid of density...

    Text Solution

    |

  19. A student measures the thickness of a human hair using a microscope of...

    Text Solution

    |

  20. A physical quantity of the dimension of length that can be formed out ...

    Text Solution

    |