The characteristic distance at which quantum gravitational effect… - Vidyadip

Question

The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants $G, h$ and $c$ . Which of the following correctly gives the Planck length?

✓

Answer

Plank length is a unit of length

$I_p\,= 1.616229\times10^{-35}\,m$

${l_p} = \sqrt {\frac{{hG}}{{{c^3}}}} $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A current of $5\, A$ passes through a copper conductor (resistivity $= 1.7\times10^{-8}\,\Omega \,m$) of radius of cross-section $5\, mm$. Find the mobility of the charges if their drift velocity is $1.1\times10^{-3}\, m/s$ ................ $m^2/Vs$

A smooth rod of length $l$ is kept inside a trolley at an angle $\theta$ as shown in the figure. What should be the acceleration a of the trolley so that the rod remains in equilibrium with respect to it?

A square loop $\mathrm{PQRS}$ having $10$ turns, area $3.6 \times$ $10^{-3} \mathrm{~m}^2$ and resistance $100 \Omega$ is slowly and uniformly being pulled out of a uniform magnetic field of magnitude $\mathrm{B}=0.5 \mathrm{~T}$ as shown. Work done in pulling the loop out of the field in $1.0 \mathrm{~s}$ is. . . . . $\times 10^{-6} \mathrm{~J}$.

A uniform solid sphere of mass $m$ is being pulled on a horizontal surface with force $F$ parallel to the surface and applied at its top most point. If the acceleration of the cylinder is $a$ & it is rolling on the surface, the value of $F$ is

Mosley's law relates the frequencies of line $X-$ rayswith the following characteristics of the target element

The self-inductance of the motor of an electric fan is $10\;H$. In order to impart maximum power at $50\;Hz$. it should be connected to a capacitance ($\mu F$) of

One mole of a gas obeying the equation of state $P(V-b)=R T$ is made to expand from a state with coordinates $\left(P_{1}, V_{1}\right)$ to a state with $\left(P_{2}, V_{2}\right)$ along a process that is depicted by a straight line on a $P-V$ diagram. Then, the work done is given by

If magnitude of average speed and average velocity over a time interval are same, then

A mass $m$ attached to a spring oscillates with a period of $3\,s$. If the mass is increased by $1\,kg$ the period increases by $1\,s$. The initial mass $m$ is

If a solid sphere of mass $1\, kg$ and radius $0.1\, m$ rolls without slipping at a uniform velocity of $1\, m/s$ along a straight line on a horizontal floor, the kinetic energy is