The relationship between Young's modulus Y, bulk modulus K and modulus of rigidity η is

Question

The relationship between Young's modulus Y, bulk modulus K and modulus of rigidity η is (A) Y=(9η K/η+3K) (B) Y=(9 Upsilon K/ Upsilon+3K) (C) Y=(9η K/3η+K) (D) Y=(3η K/9η+K)

Tardigrade Admin · Accepted Answer

(9/Y)=(3/η)+(1/K) (9/Y)=(3K+η/K η) ; Y =(9Kη/3K+η)

Q. The relationship between Young's modulus $Y$ , bulk modulus $K$ and modulus of rigidity $η$ is

$Y = \frac{9 η K}{η + 3 K}$

$Y = \frac{9Υ K}{Υ + 3 K}$

$Y = \frac{9 η K}{3 η + K}$

$Y = \frac{3 η K}{9 η + K}$

$\frac{9}{Y} = \frac{3}{η} + \frac{1}{K}$
$\frac{9}{Y} = \frac{3 K + η}{Kη};$
$Y = \frac{9 Kη}{3 K + η}$

Q. The relationship between Young's modulus Y, bulk modulus K and modulus of rigidity η is

Y=η+3K9ηK​

Y=Υ+3K9ΥK​

Y=3η+K9ηK​

Y=9η+K3ηK​