1.

Given X = (Gh//c^(3))^(1//2), where G, h and c are gravitational constant, Planck's constant and the velocity of light respectively. Dimensions of X are the same as those of

Answer»

MASS
time
length
acceleration

Solution :`[G]= [M^(-1)L^(3)T^(-2)], [H]= [ML^(2)T^(-1)], [c]= [LT^(-)]`
`:. [X]= [([M^(-1)L^(3)T^(-2)][ML^(2)T^(-1)])/( [LT^(-)])^(3)]^(1//2)= [L]`


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