Three of the fundamental constants of physics are the universal gravitational constant, \( \math.... VIDEO
Three of the fundamental constants of physics are the universal gravitational constant, \( \mathrm{G}=6.7 \times 10^{-11} \mathrm{~m}^{3} \mathrm{~kg}^{-1} \mathrm{~s}^{-2} \),
P
the speed of light, \( \mathrm{c}=3.0 \times 10^{8} \mathrm{~m} / \mathrm{s} \), and planck's constant, \( \mathrm{h}=6.6 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^{2} \mathrm{~s}^{-1} \).
Find a combination of these three constant that has the dimensions of time. The time is called the planck time and represents the age of the universe before which the laws of physics as presently understood cannot be applied.
(A) \( \sqrt{\frac{h G}{c^{4}}} \)
(B) \( \sqrt{\frac{h G}{c^{3}}} \)
(C) \( \sqrt{\frac{h G}{c}} \)
(D) \( \sqrt{\frac{h G}{c^{5}}} \)
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-22 \( y=\sin ^{3} x+\sin 3 x \) Find \( \frac{d y}{d x} \) as function of \( x \).... 2024-01-22 The graph shown in figure is exponential. Write
down the equation corresponding to the graph..... 2024-01-22 The angle \( \theta \) through which a pulley turns with time \( t \)
is specified by the functi.... 2024-01-22 If \( \vec{b}=3 \hat{i}+4 \hat{j} \) and \( \vec{a}=\hat{i}-\hat{j} \), the vector having the
\(.... 2024-01-22 The minimum number of vectors having different
planes which can be added to give zero resultant .... 2024-01-22 Three of the fundamental constants of physics are the
universal gravitational constant, \( \math.... 2024-01-22 In an experiment to determine the acceleration due to gravity \( g \), the formula used for the .... 2024-01-22 Statement-1: The time period of a pendulum is given by formula, \( \mathrm{T}=2 \pi \sqrt{\mathr.... 2024-01-22 The speed of light (C), gravitational constant (G)
and plank's constant (h) are taken as fundame.... 2024-01-22 Three of the fundamental constants of physics are the
universal gravitational constant, \( \math.... 2024-01-22 Three of the fundamental constants of physics are the universal gravitational constant, \( \math.... 2024-01-22 A line from the origin meet the lines
\( \frac{x-2}{1}=\frac{y-1}{-2}=\frac{z+1}{1} \) and \( \f.... 2024-01-22 A book with many printing errors contains four
different expressions for the displacement \( y \.... 2024-01-22 The percentage errors in the measurement of \( m \) and
speed are \( 2 \% \) and \( 3 \% \) resp.... 2024-01-22 The pitch of a screw gauge is \( 1 \mathrm{~mm} \) and there are
50 divisions on its circular sc.... 2024-01-22 When the gap is closed without placing any object
in the screw gauge whose least count is \( 0.0.... 2024-01-22 If the speed of light (c), acceleration due to gravity
(g) and pressure (p) are taken as fundame.... 2024-01-22 The least count of a meter scale is \( 1 \mathrm{~mm} \). Which of
following lengths is/are meas.... 2024-01-22 A force \( \mathrm{F} \) is given by \( \mathrm{F}=\mathrm{at}+\mathrm{bt}^{2} \), where \( \mat.... 2024-01-22 To estimate ' \( \mathrm{g} \) ' (from \( \left.g=4 \pi^{2} \frac{L}{T^{2}}\right) \), error in
.... 2024-01-22 Dimensions of velocity gradient are same as that
of-....