The height of the dam, in a hydroelectric power station is (... | Physics | SolveeIt | Solveeit

Today, August 24

Question

The height of the dam, in a hydroelectric power station is $10 \,m$ . In order to generate $1 \,MW$ of electric power, the mass of water (in kg) that must fall per second on the blades of the turbines is

A

${{10}^{6}}$

B

${{10}^{5}}$

C

${{10}^{3}}$

D

${{10}^{4}}$

Answer

${{10}^{4}}$

Explanation

Solution

Power, $P=\frac{mgh}{t}$ or $\frac{m}{t}=$ mass of water fall per second $=\frac{P}{gh}=\frac{1\times {{10}^{6}}}{10\times 10}={{10}^{4}}kg/s$