Question

A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to [CPMT 1983, 84]
A) {{Y}^{2}} B) Y C) 1/Y D) 1/{{Y}^{2}}

Answer 1

Depression in the beam is given by
δ = WL³/4Ybd³
Where W is weight , L is length , b is breadth, Y is Young's modulus and d is depth also δ is depression in the beam.
Here it is clear that ,
Depression in the beam is inversely proportional to Young's modulus.
e.g., δ $\propto$ 1/Y

Hence option (C) is correct.

Answer 2

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here's your answer

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