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Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance is
- a)5 : 3 : 1
- b)1 : 3 : 5
- c)1 : 15 : 125
- d)125 : 15 : 1
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Masses of three wire of copper are in ratio 1:3:5, and their length ar...
Ratio of masses of wires
(m1, m2, m3) = 1 : 3 : 5
Ratio of length of wires
Electrical resistance is given by
(m1, m2, m3) = 1 : 3 : 5
Ratio of length of wires
Electrical resistance is given by
The correct answer is: 125 : 15 : 1
Most Upvoted Answer
Masses of three wire of copper are in ratio 1:3:5, and their length ar...
Ratio of masses of wires
(m1, m2, m3) = 1 : 3 : 5
Ratio of length of wires
Electrical resistance is given by
(m1, m2, m3) = 1 : 3 : 5
Ratio of length of wires
Electrical resistance is given by
The correct answer is: 125 : 15 : 1
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Community Answer
Masses of three wire of copper are in ratio 1:3:5, and their length ar...
< b="" />Given Information:< />
- The masses of three wires of copper are in the ratio 1:3:5.
- The lengths of the wires are in the ratio 5:3:1.
< b="" />To Find:< />
The ratio of their electrical resistance.
< b="" />Solution:< />
To find the ratio of their electrical resistance, we need to understand the relationship between resistance, length, and mass in a wire.
< b="" />1. Resistance and Length:< />
The resistance of a wire is directly proportional to its length. This means that as the length of a wire increases, its resistance also increases.
< b="" />2. Resistance and Mass:< />
The resistance of a wire is inversely proportional to its mass. This means that as the mass of a wire increases, its resistance decreases.
< b="" />Ratio of Masses:< />
The masses of the three wires are in the ratio 1:3:5.
< b="" />Ratio of Lengths:< />
The lengths of the wires are in the ratio 5:3:1.
< b="" />Calculating the Ratios:< />
Let's assume the masses of the wires are m1, m2, and m3, and the lengths of the wires are l1, l2, and l3.
Given:
m1 : m2 : m3 = 1 : 3 : 5
l1 : l2 : l3 = 5 : 3 : 1
< b="" />Masses:< />
Let's assume the mass of the first wire is m1. Then, the masses of the second and third wires can be calculated as follows:
m2 = 3m1
m3 = 5m1
< b="" />Lengths:< />
Let's assume the length of the first wire is l1. Then, the lengths of the second and third wires can be calculated as follows:
l2 = (3/5)l1
l3 = (1/5)l1
< b="" />Resistance and Mass Relationship:< />
The resistance of a wire is inversely proportional to its mass. Therefore, the ratio of their resistances will be the inverse of the ratio of their masses:
Resistance1 : Resistance2 : Resistance3 = 1/m1 : 1/m2 : 1/m3
< b="" />Resistance and Length Relationship:< />
The resistance of a wire is directly proportional to its length. Therefore, the ratio of their resistances will be the same as the ratio of their lengths:
Resistance1 : Resistance2 : Resistance3 = l1 : l2 : l3
< b="" />Calculating the Ratios:< />
Now, let's substitute the values of masses and lengths into the equations:
Resistance1 : Resistance2 : Resistance3 = (1/m1) : (1/m2) : (1/m3)
= (1/m1) : (1/(3m1)) : (1/(5m1))
= 1 : 1/3 : 1/5
Resistance1 : Resistance2 : Resistance3 = l1 : l2 : l3
= l1 : (3/5)l1 : (1/5)l1
= 1 : 3/5 : 1/5
< b="" />
- The masses of three wires of copper are in the ratio 1:3:5.
- The lengths of the wires are in the ratio 5:3:1.
< b="" />To Find:< />
The ratio of their electrical resistance.
< b="" />Solution:< />
To find the ratio of their electrical resistance, we need to understand the relationship between resistance, length, and mass in a wire.
< b="" />1. Resistance and Length:< />
The resistance of a wire is directly proportional to its length. This means that as the length of a wire increases, its resistance also increases.
< b="" />2. Resistance and Mass:< />
The resistance of a wire is inversely proportional to its mass. This means that as the mass of a wire increases, its resistance decreases.
< b="" />Ratio of Masses:< />
The masses of the three wires are in the ratio 1:3:5.
< b="" />Ratio of Lengths:< />
The lengths of the wires are in the ratio 5:3:1.
< b="" />Calculating the Ratios:< />
Let's assume the masses of the wires are m1, m2, and m3, and the lengths of the wires are l1, l2, and l3.
Given:
m1 : m2 : m3 = 1 : 3 : 5
l1 : l2 : l3 = 5 : 3 : 1
< b="" />Masses:< />
Let's assume the mass of the first wire is m1. Then, the masses of the second and third wires can be calculated as follows:
m2 = 3m1
m3 = 5m1
< b="" />Lengths:< />
Let's assume the length of the first wire is l1. Then, the lengths of the second and third wires can be calculated as follows:
l2 = (3/5)l1
l3 = (1/5)l1
< b="" />Resistance and Mass Relationship:< />
The resistance of a wire is inversely proportional to its mass. Therefore, the ratio of their resistances will be the inverse of the ratio of their masses:
Resistance1 : Resistance2 : Resistance3 = 1/m1 : 1/m2 : 1/m3
< b="" />Resistance and Length Relationship:< />
The resistance of a wire is directly proportional to its length. Therefore, the ratio of their resistances will be the same as the ratio of their lengths:
Resistance1 : Resistance2 : Resistance3 = l1 : l2 : l3
< b="" />Calculating the Ratios:< />
Now, let's substitute the values of masses and lengths into the equations:
Resistance1 : Resistance2 : Resistance3 = (1/m1) : (1/m2) : (1/m3)
= (1/m1) : (1/(3m1)) : (1/(5m1))
= 1 : 1/3 : 1/5
Resistance1 : Resistance2 : Resistance3 = l1 : l2 : l3
= l1 : (3/5)l1 : (1/5)l1
= 1 : 3/5 : 1/5
< b="" />
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Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer?
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Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer?.
Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer?.
Solutions for Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
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Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Masses of three wire of copper are in ratio 1:3:5, and their length are in ratio 5:3:1. The ratio of their electrical resistance isa)5 : 3 : 1b)1 : 3 : 5c)1 : 15 : 125d)125 : 15 : 1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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