In Young's double slit experiment, the distance of $$\mathrm{n}^{\text {th }}$$ dark band from the central bright band in terms of bandwidth '$$\beta$$' is

A uniform rope of length $$12 \mathrm{~m}$$ and mass $$6 \mathrm{~kg}$$ hangs vertically from the rigid support. A block of mass $$2 \mathrm{~kg}$$ is attached to the free end of the rope. A transverse pulse of wavelength $$0.06 \mathrm{~m}$$ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is

For an ideal gas, $$R=\frac{2}{3} C_v$$. This suggests that the gas consists of molecules, which are [$$\mathrm{R}=$$ universal gas constant]

For a two input AND gate, the four entries are shown in the truth table. Identify the correct ones out of these $$(\mathrm{A}, \mathrm{B}=$$ input, $$\mathrm{Y}=$$ output)