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By the method of dimensions, test the ac...

By the method of dimensions, test the accuracy of the equation : `delta = (mgl^3)/(4bd^3Y)` where `delta` is depression in the middle of a bar of length I, breadth b, depth d, when it is loaded in the middle with mass m. Y is Young's modulus of material of the bar.

A

`(Wl^(3))/(4bd^(3)Y)`

B

`(Wb^(3))/(4dl^(3)Y)`

C

`(Wd^(3))/(4lb^(3)Y)`

D

`(Wl^(3))/(bd^(3)Y)`

Text Solution

Verified by Experts

The correct Answer is:
A
A bar of length l, breadth b, and depth d when loaded at the centre by a load w sags by an amount given by `delta = (Wl^(3))/(4bd^(3)Y)`
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