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 $\left.{g}=10\, {m} / {s}^{2}\right)$

Q: 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 $\left.{g}=10\, {m} / {s}^{2}\right)$

b ${B} \cdot {S}_{1}=\frac{{T}_{\operatorname{lmax}}}{8 \times 10^{-7}} \Rightarrow {T}_{1 {max}}=8 \times 1.25 \times 100$ $=1000\, {N}$ ${B} \cdot {S}_{2}=\frac{{T}_{2 \max }}{4 \times 10^{-7}} \Rightarrow {T}_{2 \max }=4 \times 1.25 \times 100$ $=500\, {N}$ ${m}=\frac{500-100}{10}=40\, {kg}$

Question

A$50$
B$40$
C$400$
D$500$

JEE MAIN 2021, Diffcult

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