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 ?
A
`G^(1//2) h^(2)c`
B
`G^(2) h c`
C
`G (h^(2))c^(3)`
D
`((Gh)/(c^(3)))^(1//2)`
Text Solution
AI Generated Solution
Topper's Solved these Questions
JEE MAINS
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise Chemistry|1 Videos
JEE MAIN
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|452 Videos
JEE MAINS 2020
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise PHYSICS|250 Videos
Similar Questions
Explore conceptually related problems
Planck 's constant (h) speed of length in vaccum (C) and newton 's gravitational constant (G) are three fundamental constant .Which of the following combinations of these has the dimension of length?
If velocity of light c, planck's constant h and gravitational constnat G are taken as fundamental quantities then the dimensions of the length will be
A conductor is made of an isotropic material and has shape of a truncated cone. A battery of constant emf is connected across it and its left end is earthed as shown. If at a certain section at a distance x form left end, electric field intensity and the rate of generation of heat per unit length are E and H respectively, which of the following graphs is (are) correct?
Experiment shows that two perfectly neutral parallel metal plates separated by a small distance d sttract eachother via a very weak force, known as the Casimir force. The force per unit area of the plates, F, depends only on the Planck constant h, on the speed of light c, and on d. Which of the following has the best chance of being correct for F?
A rod can rotate in a horizontal plane about its one end. A bead which can move along the rod is placed at certain distance from the axis or rotation. The bead does not to friction. The rod has a constant angular acceleration A. the normal reaction on the bead will be constant h magnitude and direction both B. the magnitude of the normal reaction on the bead will be variable C. the magnitude of friction force on the bead will be constant D. the magnitude of friction force on the bead will be variable
A flywheel can rotate in order to store kinetic energy. The flywheel is a uniform disc made of a material with a density rho and tensile strength sigma (measured in Pascals), a radiys r , and a thickness h . The flywheel is rotating at the maximum possible angular velocity so that it does not break. Which of the following expression correctly gives the maximum kinetic energy kilogram that can be stored in the flywheel? Assume that alpha is a dimensionless constant.
If velocity of light c, Planck's constant h ,Gravitational constant G are taken as fundamental quantites, then express mass, length and time in terms of dimensions of these quantites.
If C the velocity of light, h planck's constant and G Gravitational constant are taken as fundamental quantities, then the dimensional formula of mass is
Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:
A large number of pendulums with identical bobs (mass m) but varying lengths are suspended from a thick thread. Another pendulum of a heavier bob (mass M) is also suspended from the same thred as shown. This pendulum with the heavier bob is used as a 'driver' to drive the other pendulums called as 'driven' pendulums. Assume that the amplitude of the driver is maintained constant (by some suitable mechanism). Let the frequency of the driver be f_(0) Which of the following will give a straight line graph ?
JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-Chemistry