A balloon of mass M is descending at a constant acceleration `alpha`. When a mass m is released from the balloon it starts rising with the same acceleration `alpha` . Assuming that its volume does not change, what is the value of m?

Options

A. `(alpha)/(alpha+g)M`
B. `(2alpha)/(alpha+g)M`
C. `(alpha+g)/(alpha)M`
D. `(alpha+g)/(2alpha)M`

Answer

B

Explanation

While descending, `Mg=F_(B)=Malpha`
While ascending `F_(B)-(M-m)g=(M-m)alpha`
where `.F_(B).` is the bouyant force