We have two wires $W_1$ and $W_2$. Both are made of same length. The radius of cross-section of $W_2$ is twice that of $W_2$. Same load suspended from both of them. If the strain in $W_1$ be $4$, then that in $W_2$ will be

Q. Three blocks, each of same mass m, are connected with wires $W_1$ and $W_2$ of same cross- sectional area a and Young's modulus Y. Neglecting friction the strain developed in wire $W_2$ is

Q. Three blocks, each of same mass $m$, are connected with wire $W_1$ and $W_2$ of same cross sectional area 'a' and Young's modulus Y. Neglecting friction, the strain developed in wire $W_2$ is

Q. In an experiment, it was observed that when the length of a wire in an electrical circuit is doubled, everything else remaining same, the current becomes half. On the other hand, if the thickness (diameter) of the wire is doubled, the current becomes 4 times. Two wires $W_1$ and $W_2$ of the same metal have the same current passing through them. the thickness of wire $W_2$ is twice that of $W_1$ then the length of the wire $W_2$ is

Q. Wires \(W_{1}\) and \(W_{2}\) are made of same material having the breaking stress of \(1.25\times 10^{9}\text{ N/m}^{2}. W_{1}~\text{and}~W_{2}\) have cross-sectional area of \(8\times 10^{-7}~\text m^{2}~\text{and}~ 4\times 10^{-7}~\text m^{2},\) respectively. Masses of \(20~\text {kg}\) and \(10~\text{kg}\) hang from them as shown in the figure. The maximum mass that can be placed in the pan without breaking the wires is

\(\text{kg}\). (Use \(g=10\text{ m/s}^{2}\))
\( w_{1} \) \( 20 kg \) \( 10 kg \) pan

Q. Three blocks, each of same mass m, are connected with wires $W_1$ and $W_2$ of same cross-sectional area a and Young’s modulus Y. Neglecting friction between blocks and the table, the strain developed in wire $W_2$ is