A hot air balloon is carrying some passengers, and a few sandbags of mass 1   kg each so that its total…
A hot air balloon is carrying some passengers, and a few sandbags of mass each so that its total mass is . Its effective volume giving the balloon its buoyancy is . The balloon is floating at an equilibrium height of . When number of sandbags are thrown out, the balloon rises to a new equilibrium height close to with its volume remain unchanged. If the variation of the density of air with height from the ground is where and the value of is _________.