KCET 2024 | Elasticity Question 2 | Physics

A thick metal wire of density $\rho$ and length $L$ is hung from a rigid support. The increase in length of the wire due to its own weight is ( $Y=$ Young's modulus of the material of the wire)

$\frac{\rho g L}{Y}$

$\frac{1}{2} \frac{\rho g L^2}{Y}$

$\frac{\rho g L^2}{Y}$

$\frac{1}{4 Y} \rho g L^2$

KCET 2023

MCQ (Single Correct Answer)

-0

A stretched wire of a material whose young's modulus $$Y=2 \times 10^{11} ~\mathrm{Nm}^{-2}$$ has poisson's ratio 0.25 . Its lateral strain $$\varepsilon_l=10^{-3}$$. The elastic energy density of the wire is

$$16 \times 10^5 \mathrm{~Jm}^{-3}$$

$$1 \times 10^5 \mathrm{~Jm}^{-3}$$

$$4 \times 10^5 \mathrm{~Jm}^{-3}$$

$$8 \times 10^5 \mathrm{~Jm}^{-3}$$

KCET 2022

MCQ (Single Correct Answer)

-0

A metallic rod breaks when strain produced is $$0.2 \%$$. The Young's modulus of the material of the $$\operatorname{rod} 7 \times 10^9 \mathrm{~N} / \mathrm{m}^2$$. The area of crosssection to support a load of $$10^4 \mathrm{~N}$$ is

$$7.1 \times 10^{-6} \mathrm{~m}^2$$

$$7.1 \times 10^{-4} \mathrm{~m}^2$$

$$7.1 \times 10^{-2} \mathrm{~m}^2$$

$$7.1 \times 10^{-8} \mathrm{~m}^2$$

KCET 2020

MCQ (Single Correct Answer)

-0

Young's modulus of a perfect rigid body is

zero

unity

infinity

Between (a) and (b)

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