This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the…

This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement 1: The possibility of an electric bulb fusing is higher at the time of switching $\mathrm{ON}$. Statement 2: Resistance of an electric bulb when it is not lit up is much smaller than when it is lit up.
  1. Statement 1 is true, Statement 2 is false
  2. Statement 1 is false, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
  3. Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
  4. Statement 1 is false, Statement 2 is true.

Solution

Statement 1: The possibility of an electric bulb fusing is higher at the time of switching ON. This statement is true. When an electric bulb is switched on, a sudden surge of current flows through it. This sudden surge can cause the filament of the bulb to heat up rapidly, which can cause it to break or fuse. Statement 2: Resistance of an electric bulb when it is not lit up is much smaller than when it is lit up. This statement is also true. The resistance of a bulb increases with an increase in temperature. When the bulb is not lit up, its temperature is lower and hence its resistance is smaller. When the bulb is lit up, its temperature increases and hence its resistance also increases. Statement 2 is indeed a correct explanation of Statement 1. The smaller resistance when the bulb is not lit up allows a larger current to flow when the bulb is switched on, leading to a sudden surge of current. This sudden surge can cause the filament to heat up rapidly and fuse. Therefore, the correct option is C) Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.

Asked in: JEE Main 2012 (07 May Online)

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