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`        The velocity of a freely falling body under gravity varies as g^p h^q where g is the acceleration due to gravity and his the height through which the body is falling . Find the values of p and q using dimensional analysis.`
3 years ago

Khimraj
3008 Points
```							As the unit of velocity is m/s and g is m/s² and h is m so the value of P and Q are 1/2 as √(m/s²)(m) = m/s.Hope it clears. If u have doubts then please clearify. And if u like my answer then please approve answer
```
3 years ago
Jayati Majumdar
13 Points
```							answer : p = 1/2 and q = 1/2explanation : A body is falling freely under gravity. so, initial velocity of body will be zero. let v is the velocity of body when it falls h from the initial position.using formula, v² = u² + 2ashere, a = -g , u = 0 and s = -hthen, v² = 0 + 2(-g)(-h)or, v² = 2ghor, v = √(2gh) = √2(gh)½here it is clear that velocity of a body has fallen freely under gravity varies as (gh)½.on comparing with g^ph^q ,we get p = 1/2 and q = 1/2
```
2 months ago
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