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A metal wire of length 0.5 m and cross-sectional area 10⁻⁴ m² has breaking stress 5 × 10⁸ N m⁻². 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 ____ ms⁻¹.

1. 50
2. 25
3. 100
4. 10

Correct answer: 50

Solution

The maximum linear velocity is determined by the breaking stress of the wire, which relates to the maximum tension the wire can withstand. By calculating the maximum force using the breaking stress and the cross-sectional area, and then applying the formula for centripetal force, we find that the maximum linear velocity of the block is 50 m/s.

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