140862 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

140863 A steel and a brass wire, each of length $50 \mathrm{~cm}$ and cross-sectional area $0.005 \mathrm{~cm}^{2}$ hang from a ceiling and are $15 \mathrm{~cm}$ apart. Lower ends of the wires are attached to a light horizontal bar. A suitable downward load is applied to the bar, so that each of the wires extends in length by $0.1 \mathrm{~cm}$. At what distance from the steel wire, the load must be applied?
[Young's modulus of steel $=2 \times 10^{12} \mathrm{dyne} / \mathrm{cm}^{2}$ and that of brass $\left.=1 \times 10^{12} \mathrm{dyne} / \mathrm{cm}^{2}\right]$

140865 A square slab of side $0.5 \mathrm{~m}$ and thickness $0.1 \mathrm{~m}$ is subjected to a shearing force of $9 \times 10^{4} \mathrm{~N}$ with the lower edge riveted to the floor. If the shear modulus of the material of the slab is $5.6 \times 10^{9}$ N.m ${ }^{-2}$. Find the shearing strain?

140866 Two wires $A$ and $B$ are of same materials. Their lengths are in the ratio 1: 2 and diameters are in the ratio $2: 1$. When stretched by force $F_{A}$ and $F_{B}$, respectively, they get equal increase in their lengths.
Then the ratio $\frac{F_{A}}{F_{B}}$ should be

140862 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

140863 A steel and a brass wire, each of length $50 \mathrm{~cm}$ and cross-sectional area $0.005 \mathrm{~cm}^{2}$ hang from a ceiling and are $15 \mathrm{~cm}$ apart. Lower ends of the wires are attached to a light horizontal bar. A suitable downward load is applied to the bar, so that each of the wires extends in length by $0.1 \mathrm{~cm}$. At what distance from the steel wire, the load must be applied?
[Young's modulus of steel $=2 \times 10^{12} \mathrm{dyne} / \mathrm{cm}^{2}$ and that of brass $\left.=1 \times 10^{12} \mathrm{dyne} / \mathrm{cm}^{2}\right]$

140865 A square slab of side $0.5 \mathrm{~m}$ and thickness $0.1 \mathrm{~m}$ is subjected to a shearing force of $9 \times 10^{4} \mathrm{~N}$ with the lower edge riveted to the floor. If the shear modulus of the material of the slab is $5.6 \times 10^{9}$ N.m ${ }^{-2}$. Find the shearing strain?

140866 Two wires $A$ and $B$ are of same materials. Their lengths are in the ratio 1: 2 and diameters are in the ratio $2: 1$. When stretched by force $F_{A}$ and $F_{B}$, respectively, they get equal increase in their lengths.
Then the ratio $\frac{F_{A}}{F_{B}}$ should be

140862 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

140863 A steel and a brass wire, each of length $50 \mathrm{~cm}$ and cross-sectional area $0.005 \mathrm{~cm}^{2}$ hang from a ceiling and are $15 \mathrm{~cm}$ apart. Lower ends of the wires are attached to a light horizontal bar. A suitable downward load is applied to the bar, so that each of the wires extends in length by $0.1 \mathrm{~cm}$. At what distance from the steel wire, the load must be applied?
[Young's modulus of steel $=2 \times 10^{12} \mathrm{dyne} / \mathrm{cm}^{2}$ and that of brass $\left.=1 \times 10^{12} \mathrm{dyne} / \mathrm{cm}^{2}\right]$

140865 A square slab of side $0.5 \mathrm{~m}$ and thickness $0.1 \mathrm{~m}$ is subjected to a shearing force of $9 \times 10^{4} \mathrm{~N}$ with the lower edge riveted to the floor. If the shear modulus of the material of the slab is $5.6 \times 10^{9}$ N.m ${ }^{-2}$. Find the shearing strain?

140866 Two wires $A$ and $B$ are of same materials. Their lengths are in the ratio 1: 2 and diameters are in the ratio $2: 1$. When stretched by force $F_{A}$ and $F_{B}$, respectively, they get equal increase in their lengths.
Then the ratio $\frac{F_{A}}{F_{B}}$ should be

140862 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

140863 A steel and a brass wire, each of length $50 \mathrm{~cm}$ and cross-sectional area $0.005 \mathrm{~cm}^{2}$ hang from a ceiling and are $15 \mathrm{~cm}$ apart. Lower ends of the wires are attached to a light horizontal bar. A suitable downward load is applied to the bar, so that each of the wires extends in length by $0.1 \mathrm{~cm}$. At what distance from the steel wire, the load must be applied?
[Young's modulus of steel $=2 \times 10^{12} \mathrm{dyne} / \mathrm{cm}^{2}$ and that of brass $\left.=1 \times 10^{12} \mathrm{dyne} / \mathrm{cm}^{2}\right]$

140865 A square slab of side $0.5 \mathrm{~m}$ and thickness $0.1 \mathrm{~m}$ is subjected to a shearing force of $9 \times 10^{4} \mathrm{~N}$ with the lower edge riveted to the floor. If the shear modulus of the material of the slab is $5.6 \times 10^{9}$ N.m ${ }^{-2}$. Find the shearing strain?

140866 Two wires $A$ and $B$ are of same materials. Their lengths are in the ratio 1: 2 and diameters are in the ratio $2: 1$. When stretched by force $F_{A}$ and $F_{B}$, respectively, they get equal increase in their lengths.
Then the ratio $\frac{F_{A}}{F_{B}}$ should be