Question

Two bodies of different masses m_a and m_b are dropped from two different heights a and b. The ratio of the time taken by the two to cover these distances are ____________.

Options

• a : b

• b : a

• `sqrta` : `sqrtb`

• a² : b²

Answer 1

Two bodies of different masses m_a and m_b are dropped from two different heights a and b. The ratio of the time taken by the two to cover these distances are `sqrta` : `sqrtb`

Explanation:

h = `1/2`gt²

^{∴  t = `sqrt "2h/g"`}

^{t_a = `sqrt("2a"/"g")` and  t_b =` sqrt ("2b"/"g")`}

^{∴ `t_a/t_b` = `sqrt a/sqrtb`}