$$ \text { Match the following. } $$
| Column-I | Column-II | ||
|---|---|---|---|
| (A) | Shear modulus | (I) | Resistance to change in volume |
| (B) | Shearing stress | (II) | Proportionality constant |
| (C) | Elastic fatigue | (III) | Tangential stress |
| (D) | Modulus of elasticity | (IV) | Temporary loss of elastic property |
| (v) | Resistance to change against deformation force | ||
The correct match is
Two metal wires $A$ and $B$ have length $L$ and $3 L$ respectively. The radius of cross-sectional circular area of wire $A$ and $B$ are $R$ and $2 R$, respectively. These wires are joined end to end along their axis. When one end of the combined system is fixed and other end is pulled with a constant force $F$, the elongation in both the wires is equal. If $Y_A$ and $Y_B$ are Young's modulus of wire $A$ and $B$, then the $Y_B / Y_A$ is
If the bulk modulus of water is $2 \times 10^9 \mathrm{Nm}^{-2}$, then the required pressure to reduce the given volume of water by $2 \%$ is
Young's modulus is proportionality constant that relates the force per unit area applied perpendicularly at the surface of an object to
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