D = 1.25 × 10^−2 m and rise of water in capillary

A charged particle of mass 5 mg and charge q = +2μC has velocity v = 2iˆ−3jˆ+4kˆ. Find out the magnetic force on the charged particle and its acceleration at this instant due to magnetic field B = 3jˆ−2kˆ,v and B are in m/s and Wb/m^2 respectively. D = 1.25 × 10^−2 m and rise [...]

Consider two solid spheres P and Q each of density 8 gm/cm^3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density 0.8 gm/cm^3 and viscosity η = 3 poiseulles. Sphere Q is dropped into a liquid of density 1.6 gm/cm^3 and viscosity η = 2 poiseulles. The [...]

Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity u 0 . Which of the following statements is (are) true? D = [...]

A uniform capillary tube of inner radius r is dipped vertically into a beaker filled with water. The water rises to a height h in the capillary tube above the water surface in the beaker. The surface tension of water is σ. The angle of contact between water and the wall of the capillary tube [...]

Two spheres P and Q of equal radii have densities ρ1 and ρ2, respectively. The spheres are connected by a massless string and placed in liquids L1 and L2 of densities σ1 and σ2 and viscosities η1 and η2, respectively. They float in equilibrium with the sphere P in L1 and sphere Q in L2 [...]

Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the instantaneous density ρ remains uniform throughout the volume. The rate of fractional change in density ( 1/P dp/dt ​ ) is constant. The velocity v of any point on the surface of the expanding sphere is [...]

The following observations were taken for dtermining the surface tension of water by capillary tube method: diameter of capillary , D = 1.25 × 10^−2 m and rise of water in capillary , h = 1.45 × 10^−2 m. Taking g = 9.80 m/s^2 and using the relation T = (rgh/2) × 10^3 N/m, what [...]