Two spherical soap bubbles of radii $r_1$ and $r_2$ in vaccum coalesce under isothermal condition.The newly formed bubble has a radius( $r$ )given by
A pipe $A$ is connected with other pipes $B$ and $C$ as shown in the figure.The areas of cross-section of $A, B$ and $C$ are respectively $\alpha, \frac{\alpha}{2}$ and $\frac{\alpha}{4}$ .If the velocities of flow of water through $A$ and $B$ are $10 \mathrm{~m} / \mathrm{sec}$ and $6 \mathrm{~m} / \mathrm{sec}$ ,respectively,then velocity of flow,$V_c$ along $C$ is

Two wires A and B of same length are made of same material. Load (F) vs. elongation (x) graph for these two wires is shown in the figure. Then which of the following statement(s) is/are true?
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