# A cable is replaced by another one of the same length and material but of twice the diameter (a) How does this affect its elongation under a given load (b) How does this affect the maximum load it can support without exceeding its elastic limit?

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A cable is replaced by another one of the same length and material but of twice the diameter (a) How does this affect its elongation under a given load (b) How does this affect the maximum load it can support without exceeding its elastic limit?

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Step 1

(a) Write the expression for Young’s modulus

Step 2

The elongation is inversely proportional to the square of the diameter. Hence increasing the diameter by two folds decreases the elongation by four-fold.

Step 3

(b) Rewrite the above expres...

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