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Physics Questions and Answers January 27, 2020

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Consider the harmonic oscillator potential perturbed by a small cubic term, so that x3 V(x) ma(x ) If a is a large compared to the characteristic dimension (hmw)2, the states will all be metastable, since there can be no lowest energy state (as x 0, the energy gets arbitrarily negative). Estimate the probability of tunneling from the ground

The diffusion coefficients for two proteins differ by a factor of 2, but the two proteins exhibit the exact same capillary electrophoresis retention (or migration) times. How do they differ? Can you estimate this relative difference? Would you expect these proteins to sediment at different rates in an analytical centrifuge? If so, what would the

If we launch a rocket that has been designed to produce a constant force, will the acceleration at the initial launch be the same as the acceleration just before the fuel is completely expended? Explain your answer.

The diagram below shows light incident perpendicularly on three thin layers of thickness L (the rays are shown inclined to the normal for clarity only). The indices of refraction of the thin layers and of the media above and below those layers are given. 1.6 1.4 1.8 1.4 1.6 1.4 1.8 1.8 1.6 (i) (ii) (iii) Consider only the light that emerges below

The graph below represents the displacement versus time of a particle in simple harmonic motion. a) What is the phase constant o in radian Assume the cosine form for the displacement. Show working. ,b) What is the phase of the particle at points 1 and 3 on the graph, in radian Phase at 1 Phase at 3

(a) What is the maximum speed of 2.0 g particie that oscillates between x 2.0 mm and x 8.0 mm with the potential energy shown in the Figure below. U (J) 5 4 3 2 0 x (mm) Estimate the force(including direction) on this particle at point x 6 mm (b) Is this particle with the above potential energy exhibiting a simple harmonic motion. Explain your