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Given
length of steel wire = 470cm
cross section of steel wire =3*10^-9cm^2
length of copper wire = 350cm
cross section area = 4*10^-9 cm^2
Now
we know that
young modulus = longitudinal stress /longitudinal strain = FL/la
since
where
L is the actual length F is the force a is the cross section area and l is the change in length
in question it is given that F and l is constant for both wire so
Young modulus directly proportional to its actual length and inversely to area of cross sectoon taking F/l is k
Ys/Yc = (kL(s)/a)/(k(Lc)/a
Ys/Yc =KL(s) *a /kL(c) *a
Ys /Yc = 470*4*10^-9/350*3*10^-9
Ys/Yc = 47*4/35*3
Ys/Yc = 188/105
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