What will be the approximate terminal velocity of a rain drop of diameter $${1.8 \times {{10}^{ - 3}}}$$ m, when density of rain water $$ \approx $$ $${1.8 \times {{10}^{ - 5}}}$$ N-sm^$$-$$2 (Neglect buoyancy of air)

A uniform capillary tube of length l and inner radius r with its upper end sealed is submerged vertically into water. The outside pressure is p₀ and surface tension of water is $$\gamma$$. When a length x of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide. The value of x is

A liquid of bulk modulus k is compressed by applying an external pressure such that its density increases by 0.01%. The pressure applied on the liquid is

A solid rectangular sheet has two different coefficients of linear expansion $$\alpha$$₁ and $$\alpha$$₂ along its length and breadth respectively. The coefficient of surface expansion is (for $$\alpha$$₁ t << 1, $$\alpha$$₂t < <1)