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Chapter 2, Problem 8QAP
To determine

The four quantum number for all of the electrons in the L and M shells, and which correspond to the s, p and d subshells.

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2.52. The step response s(t) of a continuous-time LTI system is given by s(1) = [cos wol ]u(1) Find the impulse response h(t) of the system. Ans. h(t)=8(1) - wo[sin w₁t]u(t)
2.48. Show that if y(t) = x(t)* h(t), then y' (t) = x' (1) * h(t) = x(t) * h'(t) Hint: Differentiate Eqs. (2.6) and (2.10) with respect to t. 2.49. Show that x(1) * 8'(t) = x(t) Hint: Use the result from Prob. 2.48 and Eq. (2.58).
2.47. Compute the convolution sum y[n] = x[n]+h[n] of the following pairs of sequences: (a) x[n] = u[n], h[n] = 2"u[n] (b) x[n]=u[n]-u[n-N], h[n]=a"u[n], 0 < a <1 (c) x[n]=()"u[n], h[n] = 8[n] - 8[n-1]
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