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Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : When the length of a wire is doubled, then its resistance also gets doubled.
Reason : The resistance of a wire is directly proportional to its length.
  • a)
    Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • b)
    Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • c)
    Assertion (A) is true but reason (R) is false.
  • d)
    Assertion (A) is false but reason (R) is true.
  • e)
    Both Assertion and Reason are false.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions: In the following questions, a statement of assertion (A) ...
The resistance of wire,
i.e. R ∝ l Since, the resistance of a wire is directly proportional to its length, i.e. when the length of a wire is doubled/ halved then its resistance also gets doubled/halved.
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Most Upvoted Answer
Directions: In the following questions, a statement of assertion (A) ...
Assertion: When the length of a wire is doubled, then its resistance also gets doubled.

Reason: The resistance of a wire is directly proportional to its length.

The correct answer is option A: Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).

Explanation:

Resistance and Length of a Wire:
Resistance is the opposition offered by a material to the flow of electric current. It depends on various factors such as the material of the wire, the cross-sectional area of the wire, and the length of the wire.

Direct Proportionality:
When two quantities are directly proportional, it means that if one quantity doubles, the other quantity also doubles. In this case, the assertion states that when the length of a wire is doubled, its resistance also gets doubled.

Explanation of the Assertion and Reason:
The reason provided in the statement correctly explains the assertion. The resistance of a wire is directly proportional to its length. This means that if the length of a wire is doubled, its resistance will also be doubled. This relationship holds true as per Ohm's law, which states that the resistance (R) is directly proportional to the length (L) of the wire, given that the material and cross-sectional area remain constant.

Ohm's Law:
Ohm's law states that the current (I) flowing through a conductor is directly proportional to the voltage (V) applied across it and inversely proportional to the resistance (R) of the conductor. Mathematically, Ohm's law can be represented as: V = I * R.

Conclusion:
Based on the explanation above, it can be concluded that when the length of a wire is doubled, its resistance also gets doubled. This is because the resistance of a wire is directly proportional to its length, as stated in Ohm's law. Therefore, both the assertion and reason are true, and the reason correctly explains the assertion.
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Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the length of a wire is doubled, then its resistance also gets doubled.Reason : The resistance of a wire is directly proportional to its length.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer?
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Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the length of a wire is doubled, then its resistance also gets doubled.Reason : The resistance of a wire is directly proportional to its length.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the length of a wire is doubled, then its resistance also gets doubled.Reason : The resistance of a wire is directly proportional to its length.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the length of a wire is doubled, then its resistance also gets doubled.Reason : The resistance of a wire is directly proportional to its length.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : When the length of a wire is doubled, then its resistance also gets doubled.Reason : The resistance of a wire is directly proportional to its length.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
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