Class 10 Exam  >  Class 10 Questions  >  The resistance of a metal wire of length 1m i... Start Learning for Free
The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ?
Most Upvoted Answer
The resistance of a metal wire of length 1m is 26 ohm at 20 degree Cel...
Resistivity =p 0.3mm = 1.5×10^-2= radius p = RA/L p=R×pie r^2 ( area = pie r^2) p= 26×22×2.25×10^-4/7×1 p=183.8×10^-4ohm meterif u like follow me
Community Answer
The resistance of a metal wire of length 1m is 26 ohm at 20 degree Cel...
Calculating Resistivity of a Metal Wire

To calculate the resistivity of a metal wire, we need to use the formula:

R = (ρ * L) / A

Where:
R is the resistance of the wire
ρ (rho) is the resistivity of the metal
L is the length of the wire
A is the cross-sectional area of the wire

Step 1: Calculate the cross-sectional area of the wire
The diameter of the wire is given as 0.3 mm. To find the cross-sectional area, we can use the formula:

A = π * r^2

Where:
A is the cross-sectional area
π (pi) is a mathematical constant approximately equal to 3.14159
r is the radius of the wire

The radius can be calculated by dividing the diameter by 2:
r = 0.3 mm / 2 = 0.15 mm = 0.15 * 10^-3 m

Now, we can calculate the cross-sectional area:
A = π * (0.15 * 10^-3 m)^2

Step 2: Calculate the resistivity of the metal
Given that the length of the wire is 1 m and the resistance is 26 ohms, we can rearrange the formula to solve for resistivity:
ρ = (R * A) / L

Substituting the values into the formula:
ρ = (26 ohm * π * (0.15 * 10^-3 m)^2) / 1 m

Step 3: Solve the equation
Now, we can calculate the resistivity by substituting the values into the equation and solving for ρ:

ρ = (26 ohm * 3.14159 * (0.15 * 10^-3 m)^2) / 1 m

ρ = (26 ohm * 3.14159 * 0.0225 * 10^-6 m^2) / 1 m

ρ = 2.094395 * 10^-6 ohm * m

Therefore, the resistivity of the metal at that temperature is approximately 2.094395 * 10^-6 ohm * m.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ?
Question Description
The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ?.
Solutions for The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ? defined & explained in the simplest way possible. Besides giving the explanation of The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ?, a detailed solution for The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ? has been provided alongside types of The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ? theory, EduRev gives you an ample number of questions to practice The resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm , what will be the resistivity of the metal at that temperature ? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev