In Millikan’s oil drop experiment

You are riding in an automobile of mass 3000 kg. Assuming that you are examining the oscillation characteristics of its suspension system. The suspension sags 15 cm when the entire automobile is places on it. Also the amplitude of oscillation decreases by 50% during one complete oscillation. Estimate the values of (a) the spring constant [...]

One end of a U-tube containing mercury is connected to a suction pump and the other end is connected to the atmosphere. A small pressure difference is maintained between the two columns. Show that when the suction pump is removed, the liquid in the U-tube executes SHM. In Millikan's oil drop experiment The cylindrical tube [...]

A cylindrical piece of cork of base area A and height h floats in a liquid of density ρ1. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period T = 2π hρ/ρ1g−−−−√ where ρ is the density of cork. (Ignore damping due to [...]

A simple pendulum of length l and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period ? [...]

The acceleration due to gravity on the surface of moon is 1.7 m s^−2. What is the time period of a simple pendulum on the surface of moon if its time period on the surface of earth is 3.5 s? (g on the surface of earth is 9.8 m s^−2 ) In Millikan's oil drop [...]

Figure (a) attached shows a spring of force constant k clamped rigidly at one end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure (b) shows the same spring with both ends free and attached to a mass m at either end. Each [...]

A spring having with a spring constant 1200 N/m is mounted on a horizontal table as shown in the Figure. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released. Determine (i) the frequency of oscillations, (ii) [...]

As a graph are plot between displacement versus time we shall check for repetition to ascertain whether periodic or not. Also the minimum time span after which the plot repeats itself will be time period of the motion. In Millikan's oil drop experiment The cylindrical tube of a spray pump has a cross-section of 8.0 [...]

Two narrow bores of diameters 3.0mm and 6.0 mm are joined together to form a U-shaped tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is 7.3×10^−2Nm^−1. Take the angle [...]

Mercury has an angle of contact equal to 140^∘ with soda lime glass. A narrow tube of radius 1.00mm made of this glass is dipped in a through containing mercury. By what amount does the mercury dip down in the tube relative to the mercury surface outside? Surface tension of mercury at the temperature of [...]