A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness $$4 \mathrm{~cm}$$ is the same as in water column of height $$5 \mathrm{~cm}$$. If refractive index of glass is $$\frac{5}{3}$$ then refractive index of water is

Capacitors of capacities $$\mathrm{C}_1, \mathrm{C}_2$$ and $$\mathrm{C}_3$$ are connected in series. If the combination is connected to a supply of '$$\mathrm{V}$$' volt, then potential difference across capacitor '$$\mathrm{C}_1$$' is

A monoatomic gas is suddenly compressed to $$(1 / 8)^{\text {th }}$$ of its initial volume adiabatically. The ratio of the final pressure to initial pressure of the gas is $$(\gamma=5 / 3)$$