Home
Class 12
PHYSICS
The dimensions of 'resistance' are same ...

The dimensions of 'resistance' are same as those of . . . . . . . . . Where h is the Planck's constant e is the charge .

A

`(h)/(e^(2))`

B

`(h)/(e)`

C

`(h^(2))/(e^(2))`

D

`(h^(2))/(e)`

Text Solution

Verified by Experts

The correct Answer is:
A
`R=(V)/(I)=(W)/(q.I)=(ML^(2)T^(-2))/(A^(2)T)=ML^(2)T^(-3)A^(-2)`
Dim. Of `(h)/(e^(2))=(ML^(2)T^(-1))/(A^(2)T^(2))=[ML^(2)T^(-3)A^(-2)]`
So correct choice is `(a).
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-III)|6 Videos

  • UNIT TEST PAPER NO.4

    MODERN PUBLICATION|Exercise MCQ|31 Videos

  • WAVE MOTION

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

Planck's constant has the same dimensions as

Angular momentum of an electron in hydrogen atom is (3h)/(2 pi) ( h is the Planck's constant). The K. E of the electron is

Knowledge Check

  • Dimensions of planck's constant is

    A
    force X time
    B
    energy X distance
    C
    energy/time
    D
    energy X time

  • What is the dimension of Planck's constant?

    A
    Force `xx` time
    B
    energy `xx` distance
    C
    energy/frequency
    D
    energy/time

  • A quantity X is given by (me^(4))/(8epsilon_(0)^(2)ch^(3)) where m is mass of electron, e is the charge of electron, epsilon_(0) is the permittivity of free space, c is the velocity of light and h is the Planck's constant. The dimensional formula for X is the same as that of :

    A
    length
    B
    frequency
    C
    velocity
    D
    wave number

    • Similar Questions

    Explore conceptually related problems

    In a metre bridge experiment null point is obtained at 20 cm from one end of the wire when resistance X is balanced against another resistance Y. If X < Y , then where will be the new position of the null point from the same end, if one decides to balance a resistance of 4 X against Y ?

    The ratio of the dimensions of Planck constant and that of moment of inertia has the dimensions of

    The ratio of dimensions of planck constant and that of moment of inertia has the dimensions of :

    We can say that the energy of a photon of frequency v is given by E = hv, where h is planck's constant. The momentum of a photon is p = h//lambda, where lambda is the wavelenght of photon, then we may conclude that velocity of light is equal to

    A quantity x=3yz^(2) where x and z have the dimensions of capacitance and magnetic induction respectively. What are the dimensions of y in S.I. units ? ( Take Q as the charge)

    Home
    Profile