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Q.

Two blocks of masses 1 kg and 2 k8 are connected by a metal wire going over a smooth pulley as shown in fig. The breaking stress of the metal is 2×109N/m2.If the wire is not to break, its minimum radius should be

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a

4⋅6×10−5m

b

6⋅4×10−5m

c

4⋅6×10−6m

d

6⋅4×10−6m

answer is A.

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Detailed Solution

See question fig.The equations of motion of two blocks areT−10=1×a20−T=2×aSolving, we get T= (40/3) newton∴ Stress =(40/3)πr2 ( ∵ Stress=Tension/area of cross-section) Now, 2×109=(40/3)πr2r=4⋅6×10−5 metre

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