Q.36

Expert-verifiedFound in: Page 1138

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Consider the electron wave function

where x is in cm.

a. Determine the normalization constant c.

b. Draw a graph of c1x2 over the interval -2 cm x 2 cm. Provide numerical scales on both axes.

c. Draw a graph of 0 c1x2 0 2 over the interval -2 cm x 2 cm. Provide numerical scales.

d. If 104 electrons are detected, how many will be in the interval 0.00 cm x 0.50 cm?

(a) The value of normalization constant c is 0.866 cm^{-1/2}

(d) prob =0.344

(e) The number of electrons detected in the interval

Simplify it further and solve for c

Thus, the value of normalization constant c is 0.866 cm^{-1/2}

The following is the graph of over the interval

From the above graph, it is clear that the values of decrease from position x=0cm to x=1cm so, the graph appears to be bowed upward in the interval and as per the condition, the value of is zero at

The following is the graph of over the interval

From the above graph, it is clear that the values of decrease from position x=0cm to x=1cm so, the graph appears to be bowed upward in the interval and as per the condition, the value of

Calculate the probability of electrons in the interval prob

=0.344

Substitute 10^{4} for N and 0.344 for

Thus the number of electrons detected in the interval 3440

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