Question

does two wires made of same material have same Young's modulus of rigidity​

Answer 1

Answer:

I hope so yes ..... . .... ... .

Answer 2

Answer:

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ANSWER

Potential energy per unit volume =

2

1

×stress×strain

2

1

×stress×strain=

2

1

×stress×Y×stress (as strain=Y×stress, where Y is Young's modulus)

Potential energy ∝ (stress)

2

As Stress ∝(Area)

−1

And Area ∝r

2

Therefore Potential Energy per unit volume(Lets say PEV) ∝(r)

−4

Hence,

PEV

2

PEV

1

=

(r

1

)

4

(r

2

)

4

Given:

r

2

r

1

=

2

1

Therefore

PEV

2

PEV

1

=

(r

1

)

4

(r

2

)

4

=

1

2

4

=

1

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