Question

A 2 kW air conditioner works for 8 hours per day. At the rate of Rs 6/kWh the electricity bill for one day will be-

• A. Rs 12
• B. Rs 24
• C. Rs 48
• D. Rs 96

Hint:

One unit of electricity is equal to one kilowatt-hour (kWh). Always calculate the number of units consumed first and then multiply by the tariff rate.

Answer 1

The Correct Option is D

Concept: Electrical energy consumed by an appliance is calculated using the relation: \[ \text{Energy Consumed}=\text{Power}\times\text{Time} \] When power is measured in kilowatts and time in hours, the energy obtained is measured in kilowatt-hours (kWh), commonly called a unit of electricity. Given: \[ P=2\,kW \] \[ t=8\,hours \] \[ \text{Rate}=Rs\,6/kWh \]

Step 1: Calculate the electrical energy consumed. \[ E=P\times t \] \[ E=2\times8 \] \[ E=16\,kWh \] Thus, the air conditioner consumes 16 units of electricity in one day.

Step 2: Calculate the electricity bill. \[ \text{Bill} = 16\times6 \] \[ =96 \] Therefore, the electricity bill for one day is \[ Rs\,96 \]