1. What is the relationship between the following pair of chemical entities? a. diastereomer b. enantiomer c. tautomer d. conformer They represent two different conformations (conformers) of the same molecule, […]
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Random Walker Net Displacement After N Steps
15. A random walker steps by a unit to the right with probability p, by a unit to the left with probability q, and stays at the same site with […]
Fraction of Molecules in Energy Level E2
14. A system consists of molecules that can be in one of two energy levels, E1 and E2>E1. At a temperature T, what fraction of the molecules are in energy […]
Energy Released When Two Spherical Liquid Droplets Coalesce
13. Two spherical liquid droplets coalesce to form one large spherical droplet. The initial radius of each droplet is r, the surface tension the liquid is s, and its density […]
Guitar String Harmonics
12. I place a finger 1/3rd of the way down a guitar string to dampen it, and pluck it. Then I move my finger to 3/4ths of the way down, […]
Simple Pendulum Time Period Dependence on Mass Length Amplitude
11. Consider a simple pendulum consisting of a light rod of length l, pivoted at one end with a mass m attached at the other, swinging with an amplitude A […]
How to Find the Effective Capacitance of a 10 μF, 5 μF and 4 μF Mixed Capacitor Circuit
10. What is the effective capacitance of this circuit? a. 1.54 “F b. 4.5 “F c. 7.33 “F d. 19 “F The effective capacitance of the circuit is 7.33 μF, […]
Motor Protein Force Calculation
9. A motor protein moves cargo in cells by taking forward steps along linear tracks called microtubules. Assume each step has size 8nm and consumes 30 kJ mol-1 of energy […]
Metabolite Diffusion Distance 1 Nanometer Nanosecond 10 Seconds
8. A small metabolite on average diffuses about 1 nanometre (10-9 m) in a nanosecond (10-9 s). How far from its starting point will this metabolite reach on average in […]
Drag Coefficient Units in CGS System
7. The drag force on a particle moving at a speed v in a medium is of the form F=ζv, where the drag coefficient ζ depends on the particle’s shape […]


