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Vlad1618 [11]
3 years ago
6

PLEASE HELP I DON'T UNDERSTAND

Mathematics
2 answers:
melamori03 [73]3 years ago
8 0
Do you remember how to find the equation of a line when you know two points on the line ? Well, that little table gives you FIVE points on the line, and in case some students didn't notice that, the table even labels the columns 'x' and 'y' as a hint. With 5 points given, there are 20 different ways to find the equation of the line. Get to work.
Nikolay [14]3 years ago
5 0
Okay first we need to find the line of best fit. We would need the slope and the y-intercept. First let's solve for slope.

Slope =  \frac{y_2 - y_1}{x_2 - x_1}

We would need two coordinates from the table to fill in the data. Let's use (0, 23) and (1, 20).

(x_1, y_1) = (0, 23); (x_2, y_2) = (1, 20)

Then we can solve for the y-intercept using the slope-intercept form: y = mx + b.
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Read 2 more answers
A certain semiconductor device requires a tunneling probability of T = 10-5 for an electron tunneling through a rectangular barr
Goryan [66]

Answer:

Generally the barrier width is a = 1.9322 *10^{-9} \ m

Step-by-step explanation:

From the question we are told that

     The tunneling probability required is  T  = 1 * 10^{-5}

      The barrier height is  V_o  = 0.4 eV

       The electron energy is  E = 0.08eV

Generally the wave number is mathematically represented as

      k  =  \sqrt{ \frac{2 * m [V_o - E]}{\= h^2} }

Here m is the mass of the electron with the value  m  =  9.11 *10^{-31} \  kg

         h  is is know as h-bar and the value is  \= h = 1.054*10^{-34} \  J \cdot s

So

          k  =  \sqrt{ \frac{2 * 9.11 *10^{-31 } [0.4 - 0.04] * 1.6*10^{-19}}{[1.054*10^{-34}^2]} }

=>      k = 3.073582 *10^{9}  \ m^{-1}

Generally the tunneling probability is mathematically represented as

          T  = 16 * \frac{E}{V_o }  * [1 - \frac{E}{V_o} ] * e^{-2 * k * a}

So

        1.0 *10^{-5} = 16 * \frac{0.04}{0.4 }  * [1 - \frac{0.04}{0.4} ] * e^{-2 * 3.0736 *10^{9} * a}

=>    6.944*10^{-6}= e^{-2 * 3.0736 *10^{9} * a}

Taking natural log of both sides

          ln[6.944*10^{-6}] = -2 * 3.0736 *10^{9} * a}

=>        -11.8776  = -2 * 3.0736 *10^{9} * a}

=>        a = 1.9322 *10^{-9} \ m

       

4 0
2 years ago
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