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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): In a meter bridge, if its wire is replaced by another wire having same length, made of same material but having twice the cross-sectional area, the accuracy decreases.
Reason(R): If its wire is replaced by another wire of same material, having same cross-sectional area but of twice the length, accuracy increases.
  • a)
    Both Assertion and Reason are true and Reason is the correct explanation of assertion.
  • b)
    Both Assertion and Reason are true and Reason is not the correct explanation of assertion
  • c)
    Assertion is true but Reason is false.
  • d)
    Assertion is false but Reason is true.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the following question, a Statement of Assertion (A) is given follo...
Assertion(A): In a meter bridge, if its wire is replaced by another wire having the same length, made of the same material but having twice the cross-sectional area, the accuracy decreases.

Reason(R): If its wire is replaced by another wire of the same material, having the same cross-sectional area but twice the length, accuracy increases.

The correct answer is option 'D' - Assertion is false but Reason is true.

Explanation:
A meter bridge is a device used to measure the unknown resistance of a conductor. It consists of a long wire, known as the meter wire, which is made of a uniform material and has a uniform cross-sectional area. The wire is connected to a galvanometer and a battery.

1. Assertion is false:
When the wire of the meter bridge is replaced by another wire having the same length but twice the cross-sectional area, the accuracy of the meter bridge does not decrease. In fact, the accuracy remains the same.

The accuracy of the meter bridge depends on the uniformity of the wire's material and cross-sectional area. As long as the wire is made of the same material and has a uniform cross-sectional area, the accuracy is not affected.

2. Reason is true:
If the wire is replaced by another wire of the same material and the same cross-sectional area but twice the length, the accuracy of the meter bridge increases. This is because the longer wire increases the sensitivity of the meter bridge.

The sensitivity of the meter bridge is determined by the length of the wire. A longer wire allows for more precise measurements and smaller increments on the scale. Therefore, by increasing the length of the wire, the accuracy of the meter bridge can be improved.

In conclusion, the assertion in the given question is false because replacing the wire with twice the cross-sectional area does not decrease accuracy. However, the reason is true because replacing the wire with twice the length does increase the accuracy of the meter bridge.
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Community Answer
In the following question, a Statement of Assertion (A) is given follo...
Assertion: In a meter bridge, accuracy depends on the resistance of the wire. If the wire is replaced with one of the same length and material but twice the cross-sectional area, resistance decreases (R∝ 1/A​). Lower resistance reduces the sensitivity of the bridge, decreasing accuracy. Assertion is false.
Reason: If the wire has the same material and cross-sectional area but twice the length, resistance increases (R∝L). Higher resistance improves sensitivity, increasing accuracy. Reason is true. Thus, the assertion is false, but the reason is true.
Answer: Correct (D: Assertion is false but Reason is true).
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): In a meter bridge, if its wire is replaced by another wire having same length, made of same material but having twice the cross-sectional area, the accuracy decreases.Reason(R): If its wire is replaced by another wire of same material, having same cross-sectional area but of twice the length, accuracy increases.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): In a meter bridge, if its wire is replaced by another wire having same length, made of same material but having twice the cross-sectional area, the accuracy decreases.Reason(R): If its wire is replaced by another wire of same material, having same cross-sectional area but of twice the length, accuracy increases.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): In a meter bridge, if its wire is replaced by another wire having same length, made of same material but having twice the cross-sectional area, the accuracy decreases.Reason(R): If its wire is replaced by another wire of same material, having same cross-sectional area but of twice the length, accuracy increases.a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'D'. Can you explain this answer?.
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