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An electric heater is operated $2 hours$ daily. The bill after $30 days$ is $60 units$ . What is the power of the heater?

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1 kW

2 kW

3 kW

4 kW

answer is A.

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Detailed Solution

The power of the heater is

1 kW

.
Given:
time

t = 2 hours \times 30 days

= 60 hours

energy consumed,

E = 60 units

= 60 kWh

It is known that power can be defined as the rate of work done or energy consumed or transformed. Also, energy is the capability of work being done. Mathematically the relation between them is written as,

Power = \frac{Energy consumed}{Time taken}

Now,

1 unit

in the electric bill refers to the energy consumed in total which is equal to

1 kWh

.
On substituting the given values, we get the power as

\Rightarrow Power = \frac{60}{60}

\Rightarrow Power = 1 kW

Hence, the power of the heater is

1 kW

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