Correct Answer - Option 2 : Less resistance than dimmer bulb
CONCEPT:
Electric power:
- The rate at which the electric energy is dissipated or consumed is termed electric power.
- The electric power is given as,
\(⇒ P=IV=I^{2}R=\frac{V^{2}}{R}\)
Where P = electric power, V = voltage, I = current and R = resistance
EXPLANATION:
- We know that in a house all the appliances are connected parallel to each other, so in this situation, both the bulbs are connected parallel to each other.
- The potential difference on both the bulbs will be the same because they are connected parallel.
We know that the electric power dissipated is given as,
\(⇒ P=\frac{V^{2}}{R}\)
\(⇒ P\propto\frac{1}{R}\) -----(1)
Where P = electric power, V = voltage, and R = resistance
- By equation 1 we can say that the potential difference is the same across different resistance, then the power dissipated is inversely proportional to the resistance.
- The bulb that glows brighter is dissipating more energy compared to the bulb that glows dimmer. So the resistance of the bulb which glows brighter will be less compared to the dimmer bulb. Hence, option 2 is correct.
