Question

when a stress of l0^8 nm^-2
is applied to a suspended
wire, its length increases
by 1mm Calculate young's
modulus of wire​

Answer 1

Explanation:

ANSWER

Given that,

Length of the wirel=1.5m

Change in length Δl=1.55×10

−3

m

Weight = m=10kg

Now, the stress is

=

A

F

=

A

mg

=

0.785×10

−6

10×10

=127.3×10

6

N/m

2

Now, the strain is

=

l

Δl

=

1.5

1.55×10

−3

=1.03×10

−3

Now, the young modulus is

Y=

l

Δl

A

F

Y=

1.03×10

−3

127.3×10

6

Y=123.5×10

9

Y=1.23×10

11

N/m

2

Hence, the stress, strain and young modulus is 127.3×10

6

N/m

2

,1.03×10

−3

,1.23×10

11

N/m

2