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

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7 months ago

This is a long answer type question as classified in NCERT Exemplar

(i) dimension of h = [ML2T-1]

And c= [LT-1] and dimension of G= [M-1L3T-2]

Let m= kcxhyGz

[ML0T0]= [LT-1]x [ML2T-1]y [M-1L3T-2]z

= [My-zLx+2y+3zT-x-y-2z]

y-z=1

x+2y+3z=0

-x-y-2z=0

On solving these equation we got x= ½ y= ½ and z= -½

So form

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Physics NCERT Exemplar Solutions Class 11th Chapter Two 2025

Physics NCERT Exemplar Solutions Class 11th Chapter Two 2025

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