Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at 27.0 degree C?

Q. 11.8 A hole is drilled in a copper sheet. The diameter of the hole is 4.24\; cm at 27.0^{\circ}C. What is the change in the diameter of the hole when the sheet is heated to 227^{\circ}C\; ? Coefficient of linear expansion of copper =1.70\times 10^{-5}K^{-1}.

Answers (1)

best_answer

Coefficient of linear expansion of copper \alpha=1.70\times 10^{-5}K^{-1}.

Coefficient of superficial expansion of copper is \beta

\\\beta =2\alpha \\ \beta =2\times 1.7\times 10^{-5}\\ \beta =3.4\times 10^{-5}K^{-1}

Diameter of the hole at 27 oC (d1) = 4.24 cm 

Area of the hole at 227 oC is

\\A_{2}=A_{1}(1+\beta \Delta T)\\ A_{2}=\pi \left ( \frac{4.24}{2} \right )^{2}(1+3.4\times 10^{-5}(227-27))\\ A_{2}=14.215\ cm^{2}

Let the diameter at 227 oC be d2

\\\pi \left ( \frac{d_{2}}{4} \right )^{2}=14.215\\ d_{2}=4.254cm

Change in diameter is d2 -d1 = 4.24 -4.254 = 0.014 cm.

Posted by

Sayak

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE board exams 2025 from February 15; Class 10, 12 subject-wise marks distribution
anam-khan

CBSE Date Sheet 2025: Class 10, 12 board exam dates soon on cbse.gov.in; previous trends, sample papers
anam-khan

CBSE Board Exams 2025: 75% attendance must for students to be eligible, reiterates board

Latest Question