JEE Mains · Physics · STD 11- 8. mechanical properties of solids
Two wires as shown in the figure below, made of steel and have breaking stress of \(12 \times 10^8\) N/m\(^2\). Area of cross-section of upper wire is \(0.008\) cm\(^2\) and of lower wire is \(0.004\) cm\(^2\). The maximum mass that can be added to pan without breaking any wire is _____ kg.
(take \(g = 10\) m/s\(^2\))
- A \(56\)
- B \(38\)
- C \(96\)
- D \(5.6\)
Answer & Solution
Correct Answer
(B) \(38\)
Step-by-step Solution
Detailed explanation
Let the maximum mass that can be added to the pan be \(m\). The breaking stress for both wires is \(\sigma_{max} = 12 \times 10^8 \text{ N/m}^2\). For the upper wire: Area of cross-section, \(A_u = 0.008 \text{ cm}^2 = 8 \times 10^{-7} \text{ m}^2\) Maximum tension the upper…
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