JEE Mains · Physics · STD 11- Mechanical properties of solids
- JEE Mains 2021
- Hard
- MCQ
Wires \({W}_{1}\) and \({W}_{2}\) are made of same material having the breaking stress of \(1.25 \times 10^{9} \,{N} / {m}^{2}\) \({W}_{1}\) and \({W}_{2}\) have cross-sectional area of \(8 \times 10^{-7}\, {m}^{2}\) and \(4 \times 10^{-7}\, {m}^{2}\), respectively. Masses of \(20 \,{kg}\) and \(10\, {kg}\) hang from them as shown in the figure. The maximum mass that can be placed in the pan without breaking the wires is \(.....{kg}\) (Use \(\left.{g}=10\, {m} / {s}^{2}\right)\)
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) \(40\)
Step-by-step Solution
Detailed explanation
\({B} \cdot {S}_{1}=\frac{{T}_{\operatorname{lmax}}}{8 \times 10^{-7}} \Rightarrow {T}_{1 {max}}=8 \times 1.25 \times 100\)
\(=1000\, {N}\)
\({B} \cdot {S}_{2}=\frac{{T}_{2 \max }}{4 \times 10^{-7}} \Rightarrow {T}_{2 \max }=4 \times 1.25 \times 100\)
\(=500\, {N}\)
\({m}=\frac{500-100}{10}=40\, {kg}\)
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