If the current passing through a conductor is doubled and the potential difference is tripled then the power will increase:

Correct option is B

​The correct answer is (b) six fold

Explanation:

The electrical power P dissipated in a conductor can be calculated using the following formula: P=VI, Where: P is the power (in watts), V is the potential difference (in volts), I is the current (in amperes).

However, using Ohm’s Law V=IR, where R is the resistance of the conductor, we can express the power in terms of current and resistance as: P=I²R

or in terms of voltage and resistance: P= $$\frac{V^2}{R}$$​ 

Now, when the current through a conductor is doubled and the potential difference is tripled, the power dissipated in the conductor increases by a factor of six. This is because both the current and voltage contribute to the increase in power, and the specific changes cause the overall power to increase by this factor.