Question

A lamp consumes $1000\,J$ of electrical energy in $10\,s$ . What is its power?

Answer 1

Hint:In order to answer this question, to find the power of the lamp, we will first rewrite the given value of work and the time. And then we can find the power by applying its formula in terms of work and time.

Formula-used:
$Power = \dfrac{{Work}}{{Time}}$

Complete step by step answer:
As we can see that in the question, the consuming of electrical energy is the work, i.e.. $1000J$ :
$\because Work = 1000J$
And the time taken to consume $1000J$ of electrical energy by the lamp,
$t = 10s$
Now, we can calculate the power of a lamp to consume the given electrical energy by applying its formula in terms of work and the time taken.(The quantity of energy moved or converted per unit time is referred to as power in physics. The watt, which is equal to one joule per second in the International System of Units, is the unit of power. Power is also referred to as activity in ancient writings. Power is a scalar quantity.) The unit of power is watt.So, the formula of power in terms of work, we will apply:-
$Power = \dfrac{{Work}}{{Time}} \\
\Rightarrow Power = \dfrac{{1000J}}{{10s}}
\therefore Power = 100\,watt \\ $
Hence, the required power is $100\,watt$.

Note: Power is a scalar quantity that represents the rate at which work is completed. As a result, power equals work done divided by time taken. When work is completed, an equivalent amount of energy is used. As a result, power is also defined as the pace at which energy is consumed.