Power

Power of motor initially

%3DP_%7B0%7D

Let, rate of flow of motor

%3D(x)

Since, power,

P_%7B0%7D%3D%5Cfrac%7B%5Ctext%20%7B%20work%20%7D%7D%7B%5Ctext%20%7B%20time%20%7D%7D%3D%5Cfrac%7Bm%20g%20y%7D%7Bt%7D

%3Dm%20g%5Cleft(%5Cfrac%7By%7D%7Bt%7D%5Cright)

%5Cfrac%7By%7D%7Bt%7D%3Dx%3D

rate of flow of water

%3Dm%20g%20x%5C%2C%5C%2C%5C%2C...(i)

If rate of flow of water increased by

n

times, ie,

(n%20x)

Increased power

P_%7B1%7D%3D%5Cfrac%7Bm%20g%20y%5E%7B'%7D%7D%7Bt%7D

%3Dm%20g%5Cleft(%5Cfrac%7By%5E%7B'%7D%7D%7Bt%7D%5Cright)

%3Dm%20g%20n%20%5Ccdot%20x

%3Dn%20m%20g%20x%5C%2C%5C%2C%5C%2C%5C%2C...(ii)

The ratio of power

%5Cfrac%7BP_%7B1%7D%7D%7BP_%7B0%7D%7D%3D%5Cfrac%7Bn%20m%20g%20x%7D%7Bm%20g%20x%7D

%5Cfrac%7BP_%7B1%7D%7D%7BP_%7B0%7D%7D%3D%5Cfrac%7Bn%7D%7B1%7D

%5CRightarrow%20P_%7B1%7D%3A%20P_%7B0%7D%3Dn%3A%201

Chapter Questions
2 MCQs