Young’s modulus of brass and steel are 10 × 10 10 N/m 2 and 2 × 10 11 N/m 2 …

Physics · JEE Main · NTA ExamsProperties of Solids and Liquids

Young’s modulus of brass and steel are 10 × 1010 N/m2 and 2 × 1011N/m2, respectively. A brass wire and a steel wire of the same length are extended by 1 mm under the same force. The radii of the brass and steel wires are RB and RS respectively. Then
  1. RS = \(\sqrt{2}\)RB
  2. \(\mathrm{R}_{\mathrm{S}}=\frac{\mathrm{R}_{\mathrm{B}}}{\sqrt{2}}\)
  3. RS = 4RB
  4. \(\mathrm{R}_{\mathrm{S}}=\frac{\mathrm{R}_{\mathrm{B}}}{4}\)

Answer

(B) R _ S = R _ B 2

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