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Mekhanik [1.2K]
4 years ago
15

What is the speed of a 50 g rock if its de broglie wavelength is 3.32x10^-34m?

Physics
1 answer:
ivann1987 [24]4 years ago
7 0
We can find the momentum of the rock by using De Broglie's relationship:
p= \frac{h}{\lambda}
where
p is the momentum
h is the Planck constant
\lambda is the De Broglie's wavelength

By using \lambda=3.32 \cdot 10^{-34} m, we find
p= \frac{6.6 \cdot 10^{-34} Js}{3.32 \cdot 10^{-34} m}=1.99 kg m/s

The momentum of the rock is
p=mv
where m=50 g=0.05 kg is the mass and v is its velocity. Rearranging the equation, we find the speed of the rock:
v= \frac{p}{m}= \frac{1.99 kg m/s}{0.05 kg}=39.8 m/s
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Answer:

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Explanation:

Matrix H: {[1.25  1.5  1.75  2  2.25  2.5  2.75]

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Its always important to get the dimensions of your matrix right. "Roman Columns" is the mental heuristic I use since a matrix is defined by its rows first and then its column such that a 2 X 5 matrix has 2 rows and 5 columns.

Next, it helps in the beginning to think of a matrix as a grid, labeling your rows  with letters (A, B, C, ...) and your columns with numbers (1, 2, 3, ...).

For question a, we just want to take the elements A1, A2, A3, A6 and A7 from matrix H and make that the first row of matrix G. And then we will take the elements B3, B4, B5, B6 and B7 from matrix H as our second row in matrix G.

For question b, we will be taking columns from matrix H and making them rows in our matrix K. The second column of H looks like this:

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Transposing this column will make our first row of K look like this:

{[1.5  2  40]}

Repeating for columns 3, 5 and 7 will give us the final matrix K as seen above.

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