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A nichrome wire 50cm long and square millimeter cross-section carries a current of 4A when connected to a 2V battery. The resistivity of nichrome wire in ohm meter is
- a)1 x 10 − 6
- b)4 x 10 − 7
- c)3 x 10 − 7
- d)2 x 10 − 7
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A nichrome wire 50cm long and square millimeter cross-section carries ...
R=V/I
R=2/4=0.5 ohm
R=rho × l/A
0.5×10^-6/50 × 10^-4 =rho
rho=1 × 10^-6 ohm metre
A = 10^-6 m2
l=50 × 10^-4 m
R=2/4=0.5 ohm
R=rho × l/A
0.5×10^-6/50 × 10^-4 =rho
rho=1 × 10^-6 ohm metre
A = 10^-6 m2
l=50 × 10^-4 m
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Community Answer
A nichrome wire 50cm long and square millimeter cross-section carries ...
Given Data:
- Length of the nichrome wire (l) = 50 cm = 0.5 m
- Cross-sectional area of the wire (A) = 1 square millimeter = 1 x 10^-6 square meters
- Current flowing through the wire (I) = 4A
- Voltage across the wire (V) = 2V
Formula:
The resistance of a wire can be calculated using the formula:
\[ R = \frac{p \times l}{A} \]
where:
R is the resistance,
p is the resistivity of the material,
l is the length of the wire, and
A is the cross-sectional area of the wire.
Calculations:
Given that the resistance of the wire (R) can also be calculated using Ohm's Law:
\[ R = \frac{V}{I} \]
Substitute the given values:
\[ R = \frac{2}{4} = 0.5 \Omega \]
Now, substitute the values of R, l, and A in the resistance formula:
\[ 0.5 = \frac{p \times 0.5}{1 \times 10^{-6}} \]
\[ p = \frac{0.5}{0.5 \times 10^{-6}} = 1 \times 10^{-6} \Omega \cdot m \]
Therefore, the resistivity of the nichrome wire is \(1 \times 10^{-6} \Omega \cdot m\), which corresponds to option 'A'.
- Length of the nichrome wire (l) = 50 cm = 0.5 m
- Cross-sectional area of the wire (A) = 1 square millimeter = 1 x 10^-6 square meters
- Current flowing through the wire (I) = 4A
- Voltage across the wire (V) = 2V
Formula:
The resistance of a wire can be calculated using the formula:
\[ R = \frac{p \times l}{A} \]
where:
R is the resistance,
p is the resistivity of the material,
l is the length of the wire, and
A is the cross-sectional area of the wire.
Calculations:
Given that the resistance of the wire (R) can also be calculated using Ohm's Law:
\[ R = \frac{V}{I} \]
Substitute the given values:
\[ R = \frac{2}{4} = 0.5 \Omega \]
Now, substitute the values of R, l, and A in the resistance formula:
\[ 0.5 = \frac{p \times 0.5}{1 \times 10^{-6}} \]
\[ p = \frac{0.5}{0.5 \times 10^{-6}} = 1 \times 10^{-6} \Omega \cdot m \]
Therefore, the resistivity of the nichrome wire is \(1 \times 10^{-6} \Omega \cdot m\), which corresponds to option 'A'.
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A nichrome wire 50cm long and square millimeter cross-section carries a current of 4A when connected to a 2V battery. The resistivity of nichrome wire in ohm meter isa)1 x10 − 6b)4 x 10 − 7c)3 x 10 − 7d)2 x 10 − 7Correct answer is option 'A'. Can you explain this answer?
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A nichrome wire 50cm long and square millimeter cross-section carries a current of 4A when connected to a 2V battery. The resistivity of nichrome wire in ohm meter isa)1 x10 − 6b)4 x 10 − 7c)3 x 10 − 7d)2 x 10 − 7Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A nichrome wire 50cm long and square millimeter cross-section carries a current of 4A when connected to a 2V battery. The resistivity of nichrome wire in ohm meter isa)1 x10 − 6b)4 x 10 − 7c)3 x 10 − 7d)2 x 10 − 7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A nichrome wire 50cm long and square millimeter cross-section carries a current of 4A when connected to a 2V battery. The resistivity of nichrome wire in ohm meter isa)1 x10 − 6b)4 x 10 − 7c)3 x 10 − 7d)2 x 10 − 7Correct answer is option 'A'. Can you explain this answer?.
A nichrome wire 50cm long and square millimeter cross-section carries a current of 4A when connected to a 2V battery. The resistivity of nichrome wire in ohm meter isa)1 x10 − 6b)4 x 10 − 7c)3 x 10 − 7d)2 x 10 − 7Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A nichrome wire 50cm long and square millimeter cross-section carries a current of 4A when connected to a 2V battery. The resistivity of nichrome wire in ohm meter isa)1 x10 − 6b)4 x 10 − 7c)3 x 10 − 7d)2 x 10 − 7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A nichrome wire 50cm long and square millimeter cross-section carries a current of 4A when connected to a 2V battery. The resistivity of nichrome wire in ohm meter isa)1 x10 − 6b)4 x 10 − 7c)3 x 10 − 7d)2 x 10 − 7Correct answer is option 'A'. Can you explain this answer?.
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