Of the two bulbs in a house, one glows brighter than the other. Which ...
The dimmer bulb has larger resistance than the brighter one. Power of the bulb ∝ 1 / Resistance Resistance is the obstruction offer to the flow of current.
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Of the two bulbs in a house, one glows brighter than the other. Which ...
Explanation:
When two bulbs are connected in parallel in a circuit, they will have the same voltage across them, but the current can vary depending on their individual resistances. The brightness of a bulb is directly proportional to the amount of power it consumes, which in turn depends on the current flowing through it.
Statement a) The brightness does not depend on resistance:
This statement is incorrect. The brightness of a bulb is directly related to the amount of current flowing through it, which is determined by its resistance. Therefore, the brightness of a bulb does depend on resistance.
Statement b) Both the bulbs have the same resistance:
This statement is incorrect. If one bulb is brighter than the other, it means that they have different resistances. The bulb with lower resistance will allow more current to flow through it, resulting in a brighter glow.
Statement c) The brighter bulb has larger resistance:
This statement is incorrect. The brighter bulb actually has a lower resistance. A lower resistance allows more current to flow through the bulb, resulting in a brighter glow.
Statement d) The dimmer bulb has larger resistance:
This statement is correct. The dimmer bulb has a larger resistance. A higher resistance restricts the flow of current through the bulb, resulting in a dimmer glow. The bulb with higher resistance consumes less power and hence appears dimmer compared to the bulb with lower resistance.
Conclusion:
The correct statement is d) The dimmer bulb has larger resistance. The brightness of a bulb is directly related to the amount of current flowing through it, which in turn depends on its resistance. The bulb with higher resistance will allow less current to flow, resulting in a dimmer glow.