Assignment-1

# Assignment-1 - Physics 3P70 Homework assignment No 1...

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Physics 3P70 Homework assignment No. 1 Due September 27, 2016 (Tue) Questions: Marks 1. Estimate the de Broglie wavelength of a pedestrian with a mass of 60 kg and a velocity of 1 m/s. Explain why we do not see the wave nature of macroscopic bodies. (1) 2. Find the frequency ν m ( T ) for which the energy density u ( ν,T ) of the black-body radiation has its maximum. Assuming the Sun to be a “black body” with a surface temperature T = 6000 K , estimate ν m and the corresponding wavelength λ m . (2) 3. At time t = 0 a particle is represented by the wave function Ψ( x, 0) = Ax/a, if 0 x a A (2 a - x ) /a, if a x 2 a 0 , otherwise, where A and a are positive constants. (a) Normalize Ψ. (1) (b) Find the probability of ±nding the particle to the right of a . (1) (c) What is the expectation value of

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