A lamp is rated 240V, 60W. The resistance of the filament is

Answer Details

The resistance of the filament in the lamp can be found using Ohm's law. Ohm's law states that the voltage (V) across a conductor is proportional to the current (I) flowing through it, with the constant of proportionality being the resistance (R) of the conductor. Mathematically, V = IR, or R = V/I.
Given that the lamp is rated at 240V and 60W, we can calculate the current flowing through the filament using the formula for power: P = IV. Rearranging this formula, we get I = P/V.
Substituting the given values, we get I = 60W/240V = 0.25A.
Now, using Ohm's law, we can calculate the resistance of the filament as R = V/I = 240V/0.25A = 960 ohms.
Therefore, the answer is 960 ohms.