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Q.

Two blocks of masses I kg and 2 kg are connected by a metal wire going over a smooth pulley as shown in the figure. The breaking stress of the metal is 403π×106 N/m2.If g=10ms−2, then what should be the minimum radius of the wire used if it is not to break?

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a

0.5 mm

b

1 mm

c

1.5 mm

d

2mm

answer is B.

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Detailed Solution

T=2m1m2m1+m2g=2×1×21+2×10N=403NIf r is the minimum radius, then Breaking stress =403πr2 or 403π×106=403πr2 or r2=1106 or r=1103m=1mm
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