1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

Two wires A and B are made of same material. Their diameters are in the ratio of $1: 2$ and lengths are in the ratio of $1: 3$. If they are stretched by the same force, then increase in their lengths will be in the ratio of

A
$3: 4$
B
$2: 3$
C
$3: 2$
D
$4: 3$
2
KCET 2024
MCQ (Single Correct Answer)
+1
-0

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)

A
$\frac{\rho g L}{Y}$
B
$\frac{1}{2} \frac{\rho g L^2}{Y}$
C
$\frac{\rho g L^2}{Y}$
D
$\frac{1}{4 Y} \rho g L^2$
3
KCET 2023
MCQ (Single Correct Answer)
+1
-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

A
$$16 \times 10^5 \mathrm{~Jm}^{-3}$$
B
$$1 \times 10^5 \mathrm{~Jm}^{-3}$$
C
$$4 \times 10^5 \mathrm{~Jm}^{-3}$$
D
$$8 \times 10^5 \mathrm{~Jm}^{-3}$$
4
KCET 2022
MCQ (Single Correct Answer)
+1
-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

A
$$7.1 \times 10^{-6} \mathrm{~m}^2$$
B
$$7.1 \times 10^{-4} \mathrm{~m}^2$$
C
$$7.1 \times 10^{-2} \mathrm{~m}^2$$
D
$$7.1 \times 10^{-8} \mathrm{~m}^2$$
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