Home
Class 12
PHYSICS
An electric heater is rated 1500 watt. I...

An electric heater is rated 1500 watt. If electric power costs Rs. 2 per kilp-watt-hour, then the cost of power of 10 hours running of the heater is

A

Rs. 30

B

Rs. 15

C

Rs. 150

D

Rs. 25

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step-by-step, we will calculate the cost of running the electric heater for 10 hours. ### Step 1: Convert the power rating from watts to kilowatts The power rating of the electric heater is given as 1500 watts. To convert this to kilowatts, we use the conversion factor: \[ 1 \text{ kilowatt} = 1000 \text{ watts} \] So, \[ \text{Power in kilowatts} = \frac{1500 \text{ watts}}{1000} = 1.5 \text{ kilowatts} \] ### Step 2: Calculate the energy consumed in kilowatt-hours The energy consumed by the heater when it runs for a certain time can be calculated using the formula: \[ \text{Energy (kWh)} = \text{Power (kW)} \times \text{Time (h)} \] Here, the time is given as 10 hours. Therefore, \[ \text{Energy consumed} = 1.5 \text{ kW} \times 10 \text{ h} = 15 \text{ kWh} \] ### Step 3: Calculate the cost of the energy consumed The cost of electricity is given as Rs. 2 per kilowatt-hour. To find the total cost for the energy consumed, we multiply the energy consumed by the cost per kilowatt-hour: \[ \text{Cost} = \text{Energy consumed (kWh)} \times \text{Cost per kWh} \] Substituting the values: \[ \text{Cost} = 15 \text{ kWh} \times 2 \text{ Rs/kWh} = 30 \text{ Rs} \] ### Final Answer The cost of power for running the heater for 10 hours is Rs. 30. ---

To solve the problem step-by-step, we will calculate the cost of running the electric heater for 10 hours. ### Step 1: Convert the power rating from watts to kilowatts The power rating of the electric heater is given as 1500 watts. To convert this to kilowatts, we use the conversion factor: \[ 1 \text{ kilowatt} = 1000 \text{ watts} \] So, ...
Promotional Banner

Similar Questions

Explore conceptually related problems

An electric heater is rated at 2 kW. Electrical energy costs Rs 4 per kWh. What is the cost of using the heater for 3 hours?

An electric heater is rated 1500W. How much energy does it use in 10 hours ?

An electric heater is rated 1500 W. How much energy does it use in 10 hours ?

The unit of electrical power is watt.

The unit of electrical power is watt.

An electric heater uses 600 kJ of electrical energy in 5 minutes. Calculate its power rating.

An electric bulb is rated 220 volt - 100 watt. The power consumed by it when operated on 110 volt will be