Choose the correct relationship between Poisson's ratio $(\sigma)$,bulk modulus $(K)$,and modulus of rigidity $(\eta)$ of a given solid object:
- A$\sigma=\frac{3 K -2 \eta}{6 K +2 \eta}$
- B$\sigma=\frac{6 K +2 \eta}{3 K -2 \eta}$
- C$\sigma=\frac{3 K+2 \eta}{6 K+2 \eta}$
- D$\sigma=\frac{6 K -2 \eta}{3 K -2 \eta}$
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The possible value of Poisson's ratio is
Easy
View Solution$A$ wire of length $L$ and radius $r$ is loaded with a weight $Mg$. If $Y$ and $\sigma$ denote the Young's modulus and Poisson's ratio of the material of the wire respectively,then the decrease in the radius of the wire $(\Delta r)$ is given by:
Which of the following is the correct relation between Young's modulus $(Y)$ and Poisson's ratio $(\sigma)$?
Medium
View SolutionWhich of the following relations is true?
$A$ tension of $20 \,N$ is applied to a copper wire of cross-sectional area $0.01 \,cm^2$. The Young's modulus of copper is $1.1 \times 10^{11} \,N/m^2$ and the Poisson's ratio is $0.32$. The decrease in the cross-sectional area of the wire is:
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