Statement 1In1In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance.and Statement 2 Resistance of a metal increase with increase in temperature.JEE Advanced 2008 (Paper 1)AStatement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.BStatement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.CStatement 1 is true, Statement 2 is false.DStatement 1 is false, Statement 2 is true
Question
Statement 1In1In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance.and Statement 2 Resistance of a metal increase with increase in temperature.JEE Advanced 2008 (Paper 1)AStatement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.BStatement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.CStatement 1 is true, Statement 2 is false.DStatement 1 is false, Statement 2 is true
Solution
The correct answer is B. Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.
Here's why:
Statement 1: In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance.
This statement is true. The null point in a Meter Bridge experiment is the point at which the bridge is balanced, i.e., the ratio of the resistances is equal. If the unknown resistance is increased by heating, the balance can be restored (i.e., the null point can be obtained at the same point as before) by decreasing the value of the standard resistance.
Statement 2: Resistance of a metal increase with increase in temperature.
This statement is also true. The resistance of a metal generally increases with temperature due to increased vibrations of the atoms in the metal lattice which scatter the conduction electrons to a greater extent.
However, Statement 2 is not a correct explanation for Statement 1. While it is true that the resistance of the unknown resistor increases with temperature (Statement 2), this is not the reason why the null point can be obtained at the same point as before by decreasing the value of the standard resistance (Statement 1). The reason for this is that the Meter Bridge is balanced when the ratio of the resistances is equal, so if one resistance increases, the other must decrease to maintain the balance.
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