Question

The bulk modulus of a metal is 1010 N/m² and
poisson's ratio 0.20. If average distance between
the molecules is 3 Å then the inter atomic force
constant -
(1)5.4N/m
(2) 7.5 N/m
(3) 75 N/m
(4) 30 N/m​

Answer 1

Answer:

the answer is no.

Explanation:

(2)

I hope it's helpful for u

Answer 2

Given info : The bulk modulus of a metal is 10¹⁰ N/m² and poisson's ratio 0.20. the average distance between the molecules is 3A°.

To find : the inter atomic force constant is ...

solution : Young's modulus , Y = 3K(1 - 2σ)

where K is bulk modulus, σ is poisson's ratio

∴ Y = 3 × 10¹⁰ (1 - 2 × 0.2) = 3 × 0.6 × 10¹⁰ = 1.8 × 10¹⁰ N/m²

now inter atomic force constant = Yr , where r is distance between the molecules.

= 1.8 × 10¹⁰ N/m² × 3 × 10¯¹⁰ m

= 5.4 N/m

Therefore the inter atomic force constant is 5.4 N/m. so the correct option is (1).

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