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A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively (a)both remain same (b)1.1times,1.1times (c)1.2times,1.2times (d)1.21times, same Correct option is (d) explain it?
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A wire of a certain material is stretched slowly by ten percent. Its n...
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A wire of a certain material is stretched slowly by ten percent. Its n...
Explanation:
When a wire is stretched, its length increases and its cross-sectional area decreases. This leads to a decrease in its resistance. However, the specific resistance of the material also changes due to the change in its dimensions. The specific resistance is defined as the resistance of a unit length of the material with a unit cross-sectional area. Therefore, when the length and cross-sectional area of the wire change, its specific resistance also changes.
Calculation:
Let us assume that the original length and cross-sectional area of the wire are L and A, respectively. The original resistance and specific resistance of the wire are R and ρ, respectively. When the wire is stretched by ten percent, its new length and cross-sectional area become 1.1L and 0.9A, respectively.
The new resistance of the wire can be calculated using the formula:
R' = ρ(L'/A') = ρ(1.1L/0.9A)
Substituting the value of ρ from the original equation, we get:
R' = R(1.1/0.9) = 1.21R
Therefore, the new resistance of the wire is 1.21 times the original resistance.
The new specific resistance of the wire can be calculated using the formula:
ρ' = R'/L'/A' = R/(1.1L)/(0.9A)
Substituting the value of R from the original equation, we get:
ρ' = ρ/(1.1/0.9) = 1.21ρ
Therefore, the new specific resistance of the wire is 1.21 times the original specific resistance.
Conclusion:
When a wire is stretched, its resistance decreases but its specific resistance also changes. In this case, the new resistance of the wire is 1.21 times the original resistance, and the new specific resistance of the material is also 1.21 times the original specific resistance.
When a wire is stretched, its length increases and its cross-sectional area decreases. This leads to a decrease in its resistance. However, the specific resistance of the material also changes due to the change in its dimensions. The specific resistance is defined as the resistance of a unit length of the material with a unit cross-sectional area. Therefore, when the length and cross-sectional area of the wire change, its specific resistance also changes.
Calculation:
Let us assume that the original length and cross-sectional area of the wire are L and A, respectively. The original resistance and specific resistance of the wire are R and ρ, respectively. When the wire is stretched by ten percent, its new length and cross-sectional area become 1.1L and 0.9A, respectively.
The new resistance of the wire can be calculated using the formula:
R' = ρ(L'/A') = ρ(1.1L/0.9A)
Substituting the value of ρ from the original equation, we get:
R' = R(1.1/0.9) = 1.21R
Therefore, the new resistance of the wire is 1.21 times the original resistance.
The new specific resistance of the wire can be calculated using the formula:
ρ' = R'/L'/A' = R/(1.1L)/(0.9A)
Substituting the value of R from the original equation, we get:
ρ' = ρ/(1.1/0.9) = 1.21ρ
Therefore, the new specific resistance of the wire is 1.21 times the original specific resistance.
Conclusion:
When a wire is stretched, its resistance decreases but its specific resistance also changes. In this case, the new resistance of the wire is 1.21 times the original resistance, and the new specific resistance of the material is also 1.21 times the original specific resistance.
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A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively (a)both remain same (b)1.1times,1.1times (c)1.2times,1.2times (d)1.21times, same Correct option is (d) explain it?
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A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively (a)both remain same (b)1.1times,1.1times (c)1.2times,1.2times (d)1.21times, same Correct option is (d) explain it? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively (a)both remain same (b)1.1times,1.1times (c)1.2times,1.2times (d)1.21times, same Correct option is (d) explain it? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively (a)both remain same (b)1.1times,1.1times (c)1.2times,1.2times (d)1.21times, same Correct option is (d) explain it?.
A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively (a)both remain same (b)1.1times,1.1times (c)1.2times,1.2times (d)1.21times, same Correct option is (d) explain it? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively (a)both remain same (b)1.1times,1.1times (c)1.2times,1.2times (d)1.21times, same Correct option is (d) explain it? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively (a)both remain same (b)1.1times,1.1times (c)1.2times,1.2times (d)1.21times, same Correct option is (d) explain it?.
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