An initially empty beaker, in the shape of a cylinder with cross sectional area A, is left out
Channel: Doubtnut
Date: 19/04/2020

An initially empty beaker, in the shape of a cylinder with cross sectional area A, is left out in th rain. The raindrops hit the beaker vertically downward with speed v. The rain continues at a constant rate, so the height of the water in the beaker h(t) increases with time t at a rate dh/dt=u, where u is small compared to v. The raindrops quickly come to rest inside the beaker, so we can neglect any kinetic energy of the water that has collected in the beaker. Let p denote the density of water (i.e., the mass per unit volume)   img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/BSL_XI_RT_P2_E01_299_Q01.png" width="80%"   Choose the incorrect option.