JEE Main 2021 · 24 Feb · Shift 1 · Physics Q7

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PhysicsSingle correct+4 / -1Question 7 of 90

If Y, K and η are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.

Y=\dfrac{9K\eta}{2\eta+3K}

N/m

^2

Y=\dfrac{9K\eta}{3K-\eta}

N/m

^2

K=\dfrac{Y\eta}{9\eta-3Y}

N/m

^2

\eta=\dfrac{3YK}{9K+Y}

N/m

^2

Answer and worked solution

Official answer: C

Relations. $Y=2\eta(1+\sigma)=3K(1-2\sigma)$ ; eliminating σ gives $Y=\dfrac{9K\eta}{3K+\eta}$ , i.e. $K=\dfrac{Y\eta}{9\eta-3Y}$ .

(C)

Topics:Hooke's law and elastic moduli

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JEE Main 2021 · 24 Feb · Shift 1, Physics question 7