Asteel wire of length 4.7 m and cross section 3 x 103 m2 stretches by the same amount as a copper wire of length 3.5 m and cross section 4 x 10-5 m2 under a given load. what is the ratio of the young's modulus of steel to that of copper? (a) 3.83 x 103 (b) 1.46 x 10-2 (d) 5.85 x 10-3 (c) 1.79 x 10-2 2.

The ratio of the young's modulus of steel and copper is

(c) is correct option.

Explanation:

Given that,

Length of steel wire = 4.7 m

Cross section

Length of copper wire = 3.5 m

Cross section

We need to calculate the ratio of young's modulus of steel and copper

Using formula of young's modulus for steel wire

....(I)

The young's modulus for copper wire

....(II)

From equation (I) and (II)

The ratio of the young's modulus of steel and copper

Hence, The ratio of the young's modulus of steel and copper is