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A wire of length 2m and another wire of length 5m are made up of the same material and have the same area of cross section, which wire has higher resistance?
- a)Both have equal resistance
- b)The 2m wire has higher resistance
- c)The 5m wire has higher resistance
- d)The value of resistance cannot be determined from the given data
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A wire of length 2m and another wire of length 5m are made up of the s...
Resistance is directly proportional to the length of the wire, hence as the length of the wire increases, resistance increases.
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Most Upvoted Answer
A wire of length 2m and another wire of length 5m are made up of the s...
**Explanation:**
To determine which wire has a higher resistance, we need to consider the factors that affect resistance. The resistance of a wire is given by the formula:
Resistance (R) = resistivity (ρ) * length (L) / cross-sectional area (A)
where ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.
Since both wires are made up of the same material and have the same cross-sectional area, we can assume that their resistivities and cross-sectional areas are the same. Therefore, the resistance of the wires is directly proportional to their lengths.
**Comparing the lengths:**
In this case, the length of the first wire is 2m, and the length of the second wire is 5m. Since the resistance is directly proportional to the length, the wire with a longer length will have a higher resistance.
Therefore, the wire with a length of 5m (option c) has a higher resistance.
**Summary:**
In summary, the wire with a length of 5m has a higher resistance compared to the wire with a length of 2m. This conclusion is based on the fact that both wires are made up of the same material and have the same cross-sectional area. The resistance of a wire is directly proportional to its length.
To determine which wire has a higher resistance, we need to consider the factors that affect resistance. The resistance of a wire is given by the formula:
Resistance (R) = resistivity (ρ) * length (L) / cross-sectional area (A)
where ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.
Since both wires are made up of the same material and have the same cross-sectional area, we can assume that their resistivities and cross-sectional areas are the same. Therefore, the resistance of the wires is directly proportional to their lengths.
**Comparing the lengths:**
In this case, the length of the first wire is 2m, and the length of the second wire is 5m. Since the resistance is directly proportional to the length, the wire with a longer length will have a higher resistance.
Therefore, the wire with a length of 5m (option c) has a higher resistance.
**Summary:**
In summary, the wire with a length of 5m has a higher resistance compared to the wire with a length of 2m. This conclusion is based on the fact that both wires are made up of the same material and have the same cross-sectional area. The resistance of a wire is directly proportional to its length.
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Community Answer
A wire of length 2m and another wire of length 5m are made up of the s...
Resistance=resistivity x(length /area).
resistivity and area are same as per given statement. therefore,
resistance is directly proportional to length. therefore 5m wire has a higher resistance.
resistivity and area are same as per given statement. therefore,
resistance is directly proportional to length. therefore 5m wire has a higher resistance.
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A wire of length 2m and another wire of length 5m are made up of the same material and have the same area of cross section, which wire has higher resistance?a)Both have equal resistanceb)The 2m wire has higher resistancec)The 5m wire has higher resistanced)The value of resistance cannot be determined from the given dataCorrect answer is option 'C'. Can you explain this answer?
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