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A simply supported beam carrying a concentrated load W at mid – span deflects $\delta _{1}$  under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection $\delta _{2}$ at the mid span. The ratio $\frac{\delta _{1}}{\delta _{2}}$ is

(a) 2 : 1                        (b)$\sqrt{2}$:$1$

(c) 1 : 1                        (d) 1 : 2

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