Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Help me understand! Young's moduli of two wires A and B are in the ratio 7:4 wire.Wire A is 2 m long and has radius R. WireB is 1.5 m long and has radius 2 mm. If the two wires stretch by the same length for a given load, then the value of R is c

Young's moduli of two wires A and B are in the ratio 7:4 wire. Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has radius 2 mm. If the two wires stretch by the same length for a given load, then the value of R is closed to:

 

  • Option 1)

    1.5 mm

  • Option 2)

    1.9 mm

  • Option 3)

    1.7 mm

  • Option 4)

    1.3 mm

 

Answers (1)

best_answer

Y =\frac{F\l }{\pi r^{2}\Delta \l }

\frac{Y_{A}}{Y _{B}}=\frac{F\l_{A}}{\pi r_{A}^{2}\Delta \l_{A}} \times \frac{\pi r_{B}^{2}\Delta \l_{B}}{F\l_{B}}

\frac{7}{4}=\frac{2}{\left ( r_{A} \right )^{2}} \times \frac{2^{2}}{1.5}

\Rightarrow r_{A}^{2}=\frac{4 \times 2 \times 2^{2}}{1.5 \times 7}

\Rightarrow r_{A}=1.7 mm


Option 1)

1.5 mm

Option 2)

1.9 mm

Option 3)

1.7 mm

Option 4)

1.3 mm

Posted by

solutionqc

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JAC Chandigarh Counselling 2025: Round 1 seat allotment result out for BTech admissions
anam-khan

JoSAA round 5 seat allotment result 2025 out on josaa.nic.in
anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today

Latest Question