Concept explainers
The average value of radius in a circular system,
(a) Evaluate
See the integral table in Appendix
(b) What is the numerical value of
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Physical Chemistry
- (a) If  = 3x? and B = , then show that  and ß donot commute with respect to the function f(x) = sin x. Show, if the wave function, w) = A cos(kx) + iA sin(kx) is an Eigen-function of the linear momentum operator, P and if so, what is the Eigen value. (Note: A and k are constants). (b)arrow_forwardEvaluate Δx = (⟨x2⟩ − ⟨x⟩2)1/2 and Δpx = (⟨px2⟩ − ⟨px⟩2)1/2 for the ground state of (a) a particle in a box of length L and (b) a harmonic oscillator. Discuss these quantities with reference to the uncertainty principle.arrow_forward8C.4 (a) the moment of inertia of a CH4 molecule is 5.27 x 10^-47 kg m^2. What is the minimum energy needed to start it rotating? 8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2arrow_forward
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- 5) Richard Feynman called the Euler relation the most remarkable formula in mathematics. Use the Euler relation to give the value of the following quantities. eio=1 ein/2_ ein = ei2π = (Hix = (rcosx = i sin x)arrow_forwardH.W: In the Boher model of the hydrogen atom an electron moves at 2.19*10ʻm/s in an orbit of radius 5.29*10" centered on a proton. (a)what is the centripetal force on the electron? (b)what is the number of revolutions made each second?arrow_forward4. Given these operators A=d/dx and B=x², can you measure the expectation values of the corresponding observables to infinite precision simultaneously?arrow_forward
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