Please solve q 69?

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Answer 1 · 2018-04-26T11:38:12

The answer is # "option (c)"#

Let the cross section of the pipe be #=(a)m^2#

Let the density of water be #=(rho)kgm^-3#

The speed of the water is #=(v)ms^-1#

The mass of water transported is

#q_m=(varho) m^3s^-1#

The kinetic energy of the water is

#KE=1/2xx(varho)xxv^2Js^-1#

This is the power

#P=1/2arhov^3W#

Therefore,

The power is proportional to #v^3#

The answer is # "option (c)"#