JEE Main 2022 · 29 Jul · Shift 2 · Physics Q53

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PhysicsInteger+4 / -1Question 53 of 90

A metal wire of length 0.5 m and cross-sectional area $10^{-4}$ m $^2$ has breaking stress $5\times10^8$ 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 _______ m s $^{-1}$ .

Your answer

Answer and worked solution

Official answer: 50

Maximum tension $5\times10^8\times10^{-4}=5\times10^4$ N $=\dfrac{mv^2}r=\dfrac{10v^2}{0.5}$ , so $v^2=2500$ , $v=50$ m/s.

Answer: 50

Topics:Stress and strain Circular motion dynamics

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JEE Main 2022 · 29 Jul · Shift 2, Physics question 53