TS EAMCET · Physics · Mechanical Properties of Solids
A block of mass 2 kg is tied to one end of a 2 m long metal wire of \(1.0 \mathrm{~mm}^2\) area of cross-section and rotated in a vertical circle such that the tension in the wire is zero at the highest point. If the maximum elongation in the wire is 2 mm , the Young's modulus of the metal is (Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )
- A \(1.0 \times 10^{11} \mathrm{Nm}^{-2}\)
- B \(1.2 \times 10^{11} \mathrm{Nm}^{-2}\)
- C \(2.0 \times 10^{11} \mathrm{Nm}^{-2}\)
- D \(0.2 \times 10^{11} \mathrm{Nm}^{-2}\)
Answer & Solution
Correct Answer
(B) \(1.2 \times 10^{11} \mathrm{Nm}^{-2}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{M}=2 \mathrm{~kg}, \mathrm{l}=2 \mathrm{~m}, \mathrm{~A}=1 \mathrm{~mm}^2\) Velocity of mass at bottom, for tension in wire at top is zero,…
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