Home
Class 12
PHYSICS
Planck's constant (h) speed of light in ...

Planck's constant (h) speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length

A

`(sqrt(hG))/c^(2/3)`

B

`sqrt((hc)/(G))`

C

`sqrt((Gc)/(h^(3/2)))`

D

`(sqrt(hG))/(c^(3/2))`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If Planck's cosntant (h) and speed of light in vaccum (c ) are taken as two fundamental quantities, which one of the following can, in addition, be taken to express length, mass and time in terms of the three chosen fundamental quantities?

If velocity of light c, Plank's constant h and gravitational ontant G are taken as fundamental quantities then express mass, length and time in terms of dimensions of these quantities.

Deduce the dimensions of Planck's constant.Which othre quantity has same dimensions?

In a two dimensional motion,instantaneous speed v_0 is a positive constant.Then which of the following are necessarily true?

Agreat physicist of this century (RA.M. Dirac) loved playing with numerical values of Fundamental constants of nature. This led him to an interesting observation. Dirac found that from the basic constants of atomic physics (c, e, mass of electron, mass of proton) and the gravitational constant G, he could arrive at a number with the dimension of time. Further, it was a very large number, its magnitude being close to the present estimate on the age of the universe (~15 billion years) . From the table of fundamental constants in this book, try to see if you too can construct this number (or any other interesting number you can think of). If its coincidence with the age of the universe were significant, what would this imply for the constancy of fundamental constants ?

Photon is quantum of radiation with energy E = hv, where v is frequency and h is Planck's constant. The dimensions of h are the same as that of

If E is energy ,G is gravitational constant,l is impulse and M is masss the dimensions of (GIM^2)/(E^2) are same as that of :

Define decay constant of a radioactive sample. Which of the following radiations, alpha-rays, beta -rays, gamma -rays travel with greatest speed?

For hyperbola x^2sec^2alpha-ycos e c^2alpha=1, which of the following remains constant with change in 'alpha'