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JEE Advanced
Exam
JEE Advanced
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Advanced · Physics · Mechanical Properties of Solids

Wires W _ 1 and W _ 2 are made of same material having the breaking...

Wires W1{W}_{1} and W2{W}_{2} are made of same material having the breaking stress of 1.25×109Nm−2.W11 . 25 \times {10}^{9}N{m}^{- 2} . {W}_{1} and W2{W}_{2} have cross-sectional area of 8×10−7m2and8 \times {10}^{- 7}{m}^{2} and4 \times {10}^{- 7}{m}^{2},respectively.Massesof, respectively. Masses of20kgandand10kghang from them as shown in the figure. The maximum mass that can be placed in the pan without breaking the wires is _____kg(Use\leftg=10ms−2)(Use \leftg = 10m{s}^{- 2})

Wires W _ 1 and W _ 2 are made of same material having the breaking stress of 1 . 25 × 10 ^ 9 N m ^ - 2 . W _ 1 and W _

Correct answer

40

Step-by-step solution

(F1)max=stress×area{\left({F}_{1}\right)}_{\text{max}} = stress \times area

=1.25×8×102=1000N= 1 . 25 \times 8 \times {10}^{2} = 1000N

(F2)max=500N{\left({F}_{2}\right)}_{\text{max}} = 500N

(F2)max=(10+M)g=500N{\left({F}_{2}\right)}_{\text{max}} = ( 10 + M ) g = 500N

M=40kgM = 40kg

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