Physics-(general)

NEET Physics (general) MCQ Question

Type: MCQ-numerical-Hard-Class 11

A cylindrical pillar is designed to support a load by spreading the load evenly across its cross-section. If the pillar has a radius of 0.5 m and is made of a material with an elastic limit of 30 × 10^7 N/m², what is the maximum load it can support without exceeding its elastic limit?

A

35 × 10^7 N

B

14 × 10^6 N

C

7.85 × 10^6 N

D

57 × 10^7 N

Correct Answer

Option C

Detailed Explanation

The maximum load is calculated using the formula for stress: stress = force/area. The area of the circle is πr², so the maximum load = stress × πr² = 30 × 10^7 N/m² × π × (0.5 m)² = 7.85 × 10^6 N.

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