Assuming constant temperature condition and air to be an ideal gas, the variation in atmospheric pressure with height calculated from fluid statics is

The difference in pressure (in $$N/{m^2}$$) across an air bubble of diameter $$0.001$$ $$m$$ immersed in water (surface tension $$ = 0.072$$ $$N/m$$) is _____________.

For a Newtonian fluid:

An incompressible fluid (kinematic viscosity $$ = 7.4 \times {10^{ - 7}}\,\,{m^2}/s,$$ specific gravity, $$0.88$$) is held between two parallel plates. If the top plate is moved with a velocity of $$0.5$$ $$m/s$$ while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of $$0.5$$ $$mm$$ between these plates; the shear stress in Pascal on the surface of bottom plate is :