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Q.

A metal wire of length 0.5 m and cross-sectional area  104m2 has breaking stress 5×108 Nm2. A block of 10 kg is attached at one end of the string and is rotating in a horizontal circle. The maximum linear velocity of block will be____ ms1

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answer is 50.

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Detailed Solution

T=mv2=10×v20.5=20v2Tmax= Breaking stress × Area =5×108×104=5×10420V2=5×104V=14104=50m/s

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