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A cable is replaced by another cable of ...

A cable is replaced by another cable of the same length and material but of double the diameter.
(i) Under a given load which cable will show greater extension?
(ii) How many times the second cable can support the maximum load without exceeding the elastic limit?

A

half

B

double

C

four times

D

one-fourth

Text Solution

Verified by Experts

The correct Answer is:
C
(c) We have `sigma=(W)/(pir^(2))=(W')/(pi(2r)^(2))`
Load, W'=4W
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