Question 4

A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total mass is 480 kg. Its effective volume giving the balloon its buoyancy is ๐‘‰. The balloon is floating at an equilibrium height of 100 m. When ๐‘ number of sandbags are thrown out, the balloon rises to a new equilibrium height close to 150 m with its volume ๐‘‰ remaining unchanged. If the variation of the density of air with height โ„Ž from the ground is $$\rho(h) = \rho_0 e^{-\frac{h}{h_0}}$$, where $$\rho_0 = 1.25$$ kg m$$^{-3}$$ and $$h_0 = 6000$$ m, the value of N is ________________.


Correct Answer: ee


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