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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Mechanical Properties of Solids

NTA Abhyas 2020 · Physics · Mechanical Properties of Solids

The elastic limit of brass is 379 MPa. The minimum diameter of a...

The elastic limit of brass is 379379 MPa. The minimum diameter of a brass rod if it is to support a 400N400N load without exceeding its elastic limit will be

Options

  1. A1.001.00 mm
  2. B1.361.36 mm
  3. C1.161.16 mm
  4. D0.900.90 mm

Correct answer

C. 1.161.16 mm

Step-by-step solution

Stress =FA= \dfrac{F}{A}
Elastic limit is 379379 MPa
⇒379×106=400A=400\pid2/4⇒ 379 \times {10}^{6} = \dfrac{400}{A} = \dfrac{400}{\pid^{2} / 4}
d=400×4π×379×106d = \sqrt{\dfrac{400 \times 4}{\pi \times 379 \times {10}^{6}}}
=1.16×10−3m= 1.16 \times {10}^{- 3}m
=1.16mm= 1.16mm
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