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The following four wires are made of the...

The following four wires are made of the same material which of these will have the largest extension when the same tension is applied

A

length 50 cm and diameter `0.5` mm

B

length 100 cm and diameter 1 mm

C

length 200 cm and diameter 2 mm

D

length 300 cm and diameter 3 mm

Text Solution

Verified by Experts

The correct Answer is:
A

`Y=(FL)/(pir^(2)l)`
`:.l=(FL)/(pir^(2)Y)rArrlprop(L)/(r^(2))`
`:.(L)/(r^(2))` is greatest for option (a).
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