The velocity of a freely falling body changes as `g^ph^q`where g is acceleration due to gravity and h is the height. The values of p and q areA. `1,(1)/(2)`B. `(1)/(2),(1)/(2)`C. `(1)/(2),1`D. `1,1`

The velocity of a freely falling body changes as `g^ph^q`where g is ac

1.	The velocity of a freely falling body changes as `g^ph^q`where g is acceleration due to gravity and h is the height. The values of p and q areA. `1,(1)/(2)`B. `(1)/(2),(1)/(2)`C. `(1)/(2),1`D. `1,1`
Answer» Correct Answer - b `x prop g^(p)h6^(q)` (given) By substituting the dimension of each quantity and comparing the powers in both sides we get `[LT^(-1)] = [LT^(-2)]^(p)[L]^(q)` `rArr p + q = 1, 2p = -1, :. P = (1)/(2), q= (1)/(2)`

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The velocity of a freely falling body changes as `g^ph^q`where g is acceleration due to gravity and h is the height. The values of p and q areA. `1,(1)/(2)`B. `(1)/(2),(1)/(2)`C. `(1)/(2),1`D. `1,1`

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