Class 12 Exam  >  Class 12 Questions  >  A uniform wire of resistance 4 ohm is cut int... Start Learning for Free
A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm?
Most Upvoted Answer
A uniform wire of resistance 4 ohm is cut into two equal lengths. Each...
**Solution:**

To solve this problem, we need to understand the concept of resistance and how it changes when the length and cross-sectional area of a wire are altered.

**Resistance of a wire:**

The resistance of a wire is given by the formula:

R = (ρ * L) / A

where R is the resistance, ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.

**Resistivity:**

The resistivity of a material is a constant that depends on the material's properties. It is denoted by the symbol ρ.

**Length and resistance:**

If the length of a wire is doubled while keeping the cross-sectional area constant, the resistance of the wire also doubles. This can be derived from the resistance formula:

R' = (ρ * 2L) / A = 2 * (ρ * L) / A = 2R

where R' is the new resistance.

**Dividing the wire into two equal lengths:**

When the uniform wire is cut into two equal lengths, each length will have half the original length of the wire.

**Drawing the wire to twice its length:**

When each wire is drawn to twice its length, the new length will be double the original length.

**Calculating the resistance of each wire:**

Since the resistance of a wire doubles when its length is doubled, and each wire is drawn to twice its length, the resistance of each wire will be four times the original resistance. This can be derived as follows:

R' = 2R (doubling the length)
R'' = 2R' = 2(2R) = 4R

Therefore, the resistance of each wire will be four times the original resistance, which is 4 ohms.

**Conclusion:**

The correct answer is option (c) 4 ohm.
Explore Courses for Class 12 exam

Similar Class 12 Doubts

A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm?
Question Description
A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm?.
Solutions for A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm? defined & explained in the simplest way possible. Besides giving the explanation of A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm?, a detailed solution for A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm? has been provided alongside types of A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm? theory, EduRev gives you an ample number of questions to practice A uniform wire of resistance 4 ohm is cut into two equal lengths. Each wire is drawn to twice its length. Resistance of each wire will be (a) 16 ohm. (b) 2 ohm. (c)4 ohm. (d)8ohm? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
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