Statement $1 \mathrm{In}$ a Meter Bridge experiment, null point for an unknown resistance is measured. Now,…

Statement $1 \mathrm{In}$ 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. and Statement 2 Resistance of a metal increase with increase in temperature.
  1. Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.
  2. Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.
  3. Statement 1 is true, Statement 2 is false.
  4. Statement 1 is false, Statement 2 is true

Solution

With increase in temperature, the value of unknown resistance will increase. In balanced Wheatstone bridge condition, $\frac{R}{X}=\frac{l_1}{l_2}$ Here, $R=$ value of standard resistance, $X=$ value of unknown resistance . To take null point at same point or $\frac{l_1}{l_2}$ to remain unchanged, $\frac{R}{X}$ should also remain unchanged. Therefore, if $X$ is increasing $R$ should also increase. $\therefore$ correct option is (d). `

Asked in: JEE Advanced 2008 (Paper 1)

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