TS EAMCET · Physics · Mechanical Properties of Solids
The dimensions of four wires of the same material are given below. The increases in length is maximum in the wire of
- A Length \(100 \mathrm{~cm}\), Diameter \(1 \mathrm{~mm}\)
- B Length \(200 \mathrm{~cm}\), Diameter \(2 \mathrm{~mm}\)
- C Length \(300 \mathrm{~cm}\), Diameter \(3 \mathrm{~mm}\)
- D Length \(50 \mathrm{~cm}\), Diameter \(0.5 \mathrm{~mm}\)
Answer & Solution
Correct Answer
(D) Length \(50 \mathrm{~cm}\), Diameter \(0.5 \mathrm{~mm}\)
Step-by-step Solution
Detailed explanation
Young Modulus, \(\mathrm{Y}=\frac{\frac{\mathrm{F}}{\mathrm{A}}}{\frac{\Delta \mathrm{L}}{\mathrm{L}}}=\frac{\mathrm{FL}}{\Delta \mathrm{LA}}\) \(\Delta \mathrm{L} \propto \frac{\mathrm{L}}{\mathrm{D}^2}\), Here dis the diameter. (a) \(\frac{100}{(0.1)^2}=10000\) (b)…
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