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Statement-1 : In a Meter Bridge experime...

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.
Statement-2 : Resistance of metal increases with increase in temperature.

A

Statement-1 is true, Statement-2: is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is true, Statement-2: is true, Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is true but statement-2 is false

D

Statement-1 is false, Statement-2 is true

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The correct Answer is:
To solve the problem, we need to analyze both statements provided in the question regarding the Meter Bridge experiment and the behavior of resistance with temperature changes. ### Step-by-Step Solution: 1. **Understanding the Meter Bridge Experiment**: In a Meter Bridge experiment, we use a wire of uniform resistance to measure an unknown resistance (let's call it R_x). The bridge is balanced when the ratio of the lengths of the wire on either side of the bridge is equal to the ratio of the resistances connected. 2. **Effect of Temperature on Resistance**: According to the properties of metals, the resistance of a metal increases with an increase in temperature. This can be expressed as: \[ R = R_0(1 + \alpha(T - T_0)) \] where \( R_0 \) is the resistance at a reference temperature \( T_0 \), \( \alpha \) is the temperature coefficient of resistance, and \( T \) is the new temperature. 3. **Analyzing Statement 1**: - Initially, when the unknown resistance R_x is measured at a certain temperature, it has a specific value. - If we place R_x in a higher temperature environment, its resistance will increase (let's denote the new resistance as R_x'). - To balance the bridge again, we would need to adjust the standard resistance (let's call it R_s) to a higher value because R_x' > R_x. - Therefore, to obtain the null point again, we cannot simply decrease the standard resistance; we actually need to increase it. 4. **Conclusion on Statement 1**: Since we need to increase the standard resistance to balance the increased resistance of R_x, Statement 1 is **false**. 5. **Analyzing Statement 2**: - This statement claims that the resistance of a metal increases with an increase in temperature. - This is a well-established fact in physics and is true for metals. 6. **Conclusion on Statement 2**: Statement 2 is **true**. ### Final Conclusion: - Statement 1 is false, and Statement 2 is true. Therefore, the correct option is that Statement 1 is false and Statement 2 is true.

To solve the problem, we need to analyze both statements provided in the question regarding the Meter Bridge experiment and the behavior of resistance with temperature changes. ### Step-by-Step Solution: 1. **Understanding the Meter Bridge Experiment**: In a Meter Bridge experiment, we use a wire of uniform resistance to measure an unknown resistance (let's call it R_x). The bridge is balanced when the ratio of the lengths of the wire on either side of the bridge is equal to the ratio of the resistances connected. 2. **Effect of Temperature on Resistance**: ...
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RESONANCE ENGLISH-CURRENT ELECTRICITY-Exercise
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