Consider two solid spheres P and Q each of density `8gm cm^-3` and diameters 1cm and 0.5cm, respectively. Sphere P is dropped into a liquid of density `0.8gm cm^-3` and viscosity `eta=3` poiseulles. Sphere Q is dropped into a liquid of density `1.6gmcm^-3` and viscosity `eta=2` poiseulles. The ratio of the terminal velocities of P and Q is

A hollow sphere of external and internal diameter 4 cm and 2 cm, respectively, floats in a liquid of density 3.5 g cm^(-3) . The level of the liquid coincides with the center of the sphere. Calculate the density of the material of the sphere.

A sphere of radius R and density rho_1 is dropped in a liquid of density sigma . Its terminal velocity is v_1 . If another sphere of radius R and density rho_2 is dropped in the same liquid, its terminal velocity will be:

Two spheres P and Q of the same colour and having radii 4 cm and 2 cm are kept at 127^(@)C and 527^(@)C respectively. The ratio of the energies radiated by P and Q

Two spheres of the same material, but of radii R and 3R are allowed to fall vertically downwards through a liquid of density o. The ratio of their terminal velocities is

Two spheres P and Q of equal radii have densities rho_1 and rho_2 , respectively. The spheres are connected by a massless string and placed in liquids L_1 and L_2 of densities sigma_1 and sigma_2 and viscosities eta_1 and eta_2 , respectively. They float in equilibrium with the sphere P in L_1 and sphere Q in L_2 and the string being taut(see figure). If sphere P alone in L_2 has terminal velocity vecV_p and Q alone in L_1 has terminal velocity vecV_Q , then

Statement-1 : When two speres of same size but of different densities are dropped in a fluid, sphere of greater density will have greater terminal velocity. And Statement-2 : Greater the density and viscosity of the fluid, lesser will be the terminal velocity.

With what terminal velocity will an air bubble of density 1 kg m^(-3) and 0.6 mm diameter rise in a liquid of viscosity 0.15 Ns m^(-2) and specific gravity 0.9 ? What is the terminal velocity of the same bubble in water of eta=1xx10^(-3) Ns m^(-2) ?

A hollow sphere of inner radius 8.0 cm and outer radius 9.0 cm floats half-submerged in a liquid of density 820 kg/ m^(3) . (a) What is the mass of the sphere? (b) Calculate the density of the material of which the sphere is made.