JEE Main 2022 · 26 Jul · Shift 2 · Physics Q50

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PhysicsSingle correct+4 / -1Question 50 of 90

The area of cross section of the rope used to lift a load by a crane is $2.5\times10^{-4}$ m $^2$ . The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, the required area of cross section of the rope should be :

(take g = 10 ms $^{-2}$ )

6.25\times10^{-4}

^2

10\times10^{-4}

^2

1\times10^{-4}

^2

1.67\times10^{-4}

^2

Answer and worked solution

Official answer: A

Same breaking stress, so area scales with load: $2.5\times10^{-4}\times\frac{25}{10}=6.25\times10^{-4}$ m².

(A)

Topics:Stress and strain

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JEE Main 2022 · 26 Jul · Shift 2, Physics question 50