No products in the cart.

A copper rod of diameter 1 …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 cm of uniform thickness. find thickness of the wire
  • 1 answers

Yogita Ingle 6 years, 11 months ago

Given diameter of the copper rod = 1 cm

So, radius(r) of the copper rod = 1/2 cm

Let R is the radius of the cross section(circular) of the wire.

Now, according to the question,

      πR2 ×(18×100) = π(1/2)2 ×8

⇒ R2 ×(18×100) = (1/2)2 ×8

⇒ R2 ×(18×100) = 8/4

⇒ R2 ×(18×100) = 2

⇒R2 = 2/(18×100)

⇒ R2 = 1/(9×100)

⇒ R = √{1/(9×100)}

⇒ R = 1/(3×10)

⇒ R = 1/30

Now, thickness of the wire = 2r = 2 × 1/30 = 2/30 = 1/15 = 0.067 cm

https://examin8.com Test

Related Questions

Find the nature of quadratic equation x^2 +x -5 =0
  • 0 answers
X-y=5
  • 1 answers
Prove that root 8 is an irration number
  • 2 answers
(A + B )²
  • 1 answers
Venu Gopal has twice
  • 0 answers
sin60° cos 30°+ cos60° sin 30°
  • 2 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App