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An electric kettle takes 4 A current at ...

An electric kettle takes `4 A` current at `220 V`. How much time will it take to boil `1 kg` of wate from temperature `20^(@)C`? The temperature of boiling water is `100^(@)C`

A

12.6 min

B

4.2 min

C

6.3 min

D

8.4 min

Text Solution

Verified by Experts

The correct Answer is:
C
Heat taken by water when its temperature changes from `20^(@)C` to `100^(@)C` is
`H_(1)=ms(theta_(2)-theta_(1))=1000xx1xx(100-20)cal`
`=1000xx80xx4.2J`
Heat produced in time t due to current in resistor is
`H_(2)=VIt=220xx4tJ`
As per question, `220xx4xxt=1000xx80xx4.2`
or `t=(1000xx80xx4.2)/(220xx4)=382s=6.3min`
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