A balloon and its content having mass $$M$$ is moving up with an acceleration 'a'. The mass that must be released from the content so that the balloon starts moving up with an acceleration '3a' will be (Take ' g ' as acceleration due to gravity)

Initially: F_buoy - Mg = Ma, so F_buoy = M(g+a).

After releasing mass m: F_buoy - (M-m)g = (M-m)(3a).

M(g+a) = (M-m)(g+3a), M(g+a) = M(g+3a) - m(g+3a)

m(g+3a) = M(g+3a-g-a) = 2Ma, m = 2Ma/(g+3a).

The correct answer is Option 1.

Create a FREE account and get:

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now

Ask our AI anything

AI can make mistakes. Please verify important information.

Download resources