Water rises to a height of 10cm in a capillary tube and mercury falls to a depth of 3.42 cm in the same capillary tube. If the density of mercury is 13.6g/cc and the angle of contact of mercury and water are 135° and 0° respectively, the ratio of surface tension of water and mercury is

Q: Water rises to a height of 10cm in a capillary tube and mercury falls to a depth of 3.42 cm in the same capillary tube. If the density of mercury is 13.6g/cc and the angle of contact of mercury and water are 135° and 0° respectively, the ratio of surface tension of water and […]

A piston of a syringe pushes a liquid with a speed of 1 cm/sec. The radii of the syringe tube and the needle are R = 1cm and r = 0.5 mm respectively. The velocity of the liquid coming out of the needle is

Q: A piston of a syringe pushes a liquid with a speed of 1 cm/sec. The radii of the syringe tube and the needle are R = 1cm and r = 0.5 mm respectively. The velocity of the liquid coming out of the needle is (A) 2 cm/sec (B) 400 cm/sec (C) 10 cm/sec (D) […]

A cube of mass m and density D is suspended from the point P by a spring of stiffness k. The system is kept inside a beaker filled with a liquid of density d. The elongation in the spring, assuming D > d is

Q: A cube of mass m and density D is suspended from the point P by a spring of stiffness k. The system is kept inside a beaker filled with a liquid of density d. The elongation in the spring , assuming D > d, is (A) mg/k(1-d/D) (B) mg/k(1-D/d) (C) mg/k(1+d/D) (D) None of […]

A cube of ice is floating in water. The fraction of its length that lie outside the water is (Sp. Gravity of ice = 0.96)

Q: A cube of ice is floating in water. The fraction of its length that lie outside the water is (Sp. Gravity of ice = 0.96) (A) 0.04 (B) 0.4 (C) 0.96 (D) None of these. Solution: Since the ice cube is in equilibrium, the net force acting on it is zero. Hence the buoyant […]

The density of ice is x gm/cc. and that of water is y gm/cc. What is the change in volume in cc., when m gm of ice melts

Q: The density of ice is x gm/cc. and that of water is y gm/cc. What is the change in volume in cc., when m gm of ice melts ? (A) m(y – x) (B) (y – x)/m (C) mxy (x – y) (D) m (1/y – 1/x) Solution: m = volume × density Mass […]