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A particle is thrown upwards from ground...

A particle is thrown upwards from ground. It experiences a constant resistance force which can produce a retardation of `2 ms^-2.` The ratio of time of ascent to time of descent 13 (`g = 10 ms^-2`)

A

`1:1`

B

`sqrt(2/3)`

C

`2/3`

D

`sqrt(3/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`.vuarr underset(2m//s^(2))(darr)overset(*)(darr)gm//s^(2)" "._(v)darr darr g m//s^(2)uarr 2m//s^(2)`
`:.` time of ascent `=sqrt((2h)/(g+2))`
time of descent `=sqrt((2h)/(g-2))`
`:. T_(a)/t_(d)=sqrt(8/12)=sqrt(2/3)`
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