What is the heat energy produced in a resistance of 10 Ω when 5 A current flows through it for 5 minutes?

Correct option is A

The correct answer is (A) 7.5 × 10⁴ J.

Explanation:
To calculate the heat energy produced in a resistor, we use Joule's Law, which is given by the formula:

Q = I² × R × t

Where:

• Q is the heat energy produced (in joules),

• I is the current (in amperes),

• R is the resistance (in ohms),

• t is the time (in seconds).

Given:

• I = 5 A

• R = 10 Ω

• t = 5 minutes = 5 × 60 = 300 seconds

Now, substitute the values into the formula:

Q = (5)² × 10 × 300

Q = 25 × 10 × 300

Q = 25 × 3000 = 75,000 J

So, the heat energy produced is 75,000 J, which is 7.5 × 10⁴ J.