JEE Mains · Physics · STD 11- 8. mechanical properties of solids
A metal wire of length \(0.5 m\) and cross-sectional area \(10^{-4}\; m ^{2}\) has breaking stress \(5 \times 10^{8}\; Nm ^{-2}\). A block of \(10\; kg\) is attached at one end of the string and is rotating in a horizontal circle. The maximum linear velocity of block will be \(ms ^{-1}\).
- A \(49\)
- B \(48\)
- C \(46\)
- D \(50\)
Answer & Solution
Correct Answer
(D) \(50\)
Step-by-step Solution
Detailed explanation
\(T =\frac{ mv ^{2}}{\ell}=\frac{10 \times v ^{2}}{0.5}=20\,v ^{2}\) \(T _{\max }=\) Breaking stress \(\times\) Area \(=5 \times 10^{8} \times 10^{-4}=5 \times 10^{4}\) \(20\,V ^{2}=5 \times 10^{4}\) \(V=\sqrt{\frac{1}{4} 10^{4}}=50\,m / s\)
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