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A battery is connected with a potentiometer wire. The internal resistance of the battery is negligible. If the length of the potentiometer wire of the same material and radius is doubled then
- a)Potential gradient does not change
- b)Potential gradient becomes half
- c)None of these
- d)Potential gradient becomes two times
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A battery is connected with a potentiometer wire. The internal resista...
Explanation:Potential gradient Is given by V/l. If V and l are constant, the potential gradient also remains constant. The change in the radius will cause a change in the current. This does not change the potential gradient.
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A battery is connected with a potentiometer wire. The internal resista...
The potential gradient refers to the change in potential per unit length along the potentiometer wire. In this scenario, we are assuming that the battery is connected to the potentiometer wire such that there is a potential difference across the wire. Let's analyze the given options to understand how the changes in the potentiometer wire length affect the potential gradient.
a) Potential gradient does not change: This option implies that the potential gradient remains the same even when the length of the potentiometer wire is doubled.
b) Potential gradient becomes half: This option suggests that the potential gradient is reduced by half when the length of the potentiometer wire is doubled.
c) None of these: This option indicates that none of the above options are correct.
d) Potential gradient becomes two times: This option states that the potential gradient doubles when the length of the potentiometer wire is doubled.
Now, let's analyze each option and determine the correct one:
1. Potential gradient does not change (Option A):
When the length of the potentiometer wire is doubled, the potential difference across the wire remains the same (assuming the battery voltage is constant). However, the length of the wire over which this potential difference is distributed increases. As a result, the potential gradient, which is the change in potential per unit length, remains the same. Therefore, option A is correct.
2. Potential gradient becomes half (Option B):
If the length of the wire is doubled while the potential difference remains constant, the potential gradient would actually decrease. This option contradicts our understanding of the situation and is therefore incorrect.
3. None of these (Option C):
This option suggests that none of the given options are correct. However, we have already determined that option A is correct based on our analysis.
4. Potential gradient becomes two times (Option D):
If the length of the wire is doubled while the potential difference remains constant, the potential gradient would actually decrease. This option contradicts our understanding of the situation and is therefore incorrect.
Based on the above analysis, we can conclude that option A, "Potential gradient does not change," is the correct answer.
a) Potential gradient does not change: This option implies that the potential gradient remains the same even when the length of the potentiometer wire is doubled.
b) Potential gradient becomes half: This option suggests that the potential gradient is reduced by half when the length of the potentiometer wire is doubled.
c) None of these: This option indicates that none of the above options are correct.
d) Potential gradient becomes two times: This option states that the potential gradient doubles when the length of the potentiometer wire is doubled.
Now, let's analyze each option and determine the correct one:
1. Potential gradient does not change (Option A):
When the length of the potentiometer wire is doubled, the potential difference across the wire remains the same (assuming the battery voltage is constant). However, the length of the wire over which this potential difference is distributed increases. As a result, the potential gradient, which is the change in potential per unit length, remains the same. Therefore, option A is correct.
2. Potential gradient becomes half (Option B):
If the length of the wire is doubled while the potential difference remains constant, the potential gradient would actually decrease. This option contradicts our understanding of the situation and is therefore incorrect.
3. None of these (Option C):
This option suggests that none of the given options are correct. However, we have already determined that option A is correct based on our analysis.
4. Potential gradient becomes two times (Option D):
If the length of the wire is doubled while the potential difference remains constant, the potential gradient would actually decrease. This option contradicts our understanding of the situation and is therefore incorrect.
Based on the above analysis, we can conclude that option A, "Potential gradient does not change," is the correct answer.
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A battery is connected with a potentiometer wire. The internal resistance of the battery is negligible. If the length of the potentiometer wire of the same material and radius is doubled thena)Potential gradient does not changeb)Potential gradient becomes halfc)None of thesed)Potential gradient becomes two timesCorrect answer is option 'A'. Can you explain this answer?
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A battery is connected with a potentiometer wire. The internal resistance of the battery is negligible. If the length of the potentiometer wire of the same material and radius is doubled thena)Potential gradient does not changeb)Potential gradient becomes halfc)None of thesed)Potential gradient becomes two timesCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A battery is connected with a potentiometer wire. The internal resistance of the battery is negligible. If the length of the potentiometer wire of the same material and radius is doubled thena)Potential gradient does not changeb)Potential gradient becomes halfc)None of thesed)Potential gradient becomes two timesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A battery is connected with a potentiometer wire. The internal resistance of the battery is negligible. If the length of the potentiometer wire of the same material and radius is doubled thena)Potential gradient does not changeb)Potential gradient becomes halfc)None of thesed)Potential gradient becomes two timesCorrect answer is option 'A'. Can you explain this answer?.
A battery is connected with a potentiometer wire. The internal resistance of the battery is negligible. If the length of the potentiometer wire of the same material and radius is doubled thena)Potential gradient does not changeb)Potential gradient becomes halfc)None of thesed)Potential gradient becomes two timesCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A battery is connected with a potentiometer wire. The internal resistance of the battery is negligible. If the length of the potentiometer wire of the same material and radius is doubled thena)Potential gradient does not changeb)Potential gradient becomes halfc)None of thesed)Potential gradient becomes two timesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A battery is connected with a potentiometer wire. The internal resistance of the battery is negligible. If the length of the potentiometer wire of the same material and radius is doubled thena)Potential gradient does not changeb)Potential gradient becomes halfc)None of thesed)Potential gradient becomes two timesCorrect answer is option 'A'. Can you explain this answer?.
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