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Q.

A potential difference of is applied across a resistor of resistance for 6 minutes and 58 seconds. Find the heat produced in 1) joule 2) calorie.

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a

83, 600

J,

19, 980.87

calories

b

84, 600

J,

15, 980.87

calories

c

85, 600

J,

17, 980.87

calories

d

88, 600

J,

18, 980.87

calories

answer is A.

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Detailed Solution

Concept- To determine the current, use Ohm's law. Afterward, utilise the heat production equation in terms of current, resistance, and time. To calculate the amount of heat produced in joules, convert the time unit in the SI system of units. To calculate the amount of heat produced by a calorie, use the joule to calorie conversion factor.
Given potential difference

volts,
Resistance of the resistor,

.
So power produced in the circuit,

i.e.

P = 100 \times \frac{100}{50} = 200

watt

.
But we know,

energy/ time
So, energy =power

\times

time
Time should be measured in seconds, which are its standard units.

seconds=

(6 \times 60) + 58 = 418

seconds.
Energy

= (200 \times 418)

J= 83, 600J
We know that 1 calorie

So, energy

calories.
Hence, the correct option is 1.

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