b) The diameter of a wire is doubled, keeping
length same, its Young's modulus
(i) increases
(ii) decreases
(iii) remain same
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Answer:
Value of Y will remain same because Y=(longitudinal stress) /(longitudinal strain) and
longitudinal strain=l/L
if you make length double i.e. 2L then extension will also be double i.e. 2l
so longitudinal strain=2l/2L =l/L
again it is same so Young’s Modulus Y remains same.
It is property of a material(with in elastic limits) and
it does not depends on length, area of cross section and stress
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