Answer:
The frequency of this wave is .
Explanation:
The frequency of a wave is the number of wavelengths that this wave covers in unit time (typically a second.)
The wave in this question travels at . In other words, this wave covers
in unit time (a second.) How many wavelengths
would that
correspond to?
The question states that the wavelength of this wave is . Therefore, there would be
wavelengths in the
span that this wave covered in the unit time of one second (
.) Hence, the frequency of this wave would be
(three per second,) which is equivalent to
(three Hertzs.)
In general, the frequency of a wave with speed
and wavelength
would be:
.
For the wave in this question:
.
Answer:
The vector equation of the line is
Parametric equations for given line are
Explanation:
The vector equation of the line is given by
r₀ = (7, -8, 3)
v = (1, 6, -13)
At these points the vector equation for this line is:
Parametric equations for given line are
Answer:
a
b
Explanation:
From the question we are told that
The wavelength of the light is
The distance of the slit separation is
Generally the condition for two slit interference is
Where m is the order which is given from the question as m = 2
=>
substituting values
Now on the second question
The distance of separation of the slit is
The intensity at the the angular position in part "a" is mathematically evaluated as
Where is mathematically evaluated as
substituting values
So the intensity is
Answer:
a) -0.0934 kJ/kg. K
b) The direction of flow is from right to left.
Explanation:
A free flow diagram of the horizontal insulated duct is as shown below.
NOW,
Let assume that the direction of flow is from left to right and consider the following relation for the entropy rate balance equation for a control volume as:
Now; if the value for this relation is greater than zero; then we conclude that our assumption is correct.
If the value is less than zero; then we conclude that the assumption is wrong.
Then, the flow is said to be in the opposite direction
Formula for the change in specific entropy can be calculated as:
where;
are specific entropies
R = universal gas constant
= pressure at location 1
= pressure at location 2
We obtain the specific properties of air at temperature at = (67°C + 273)K = 340 K from the table A-22 ( Ideal gas properties of air)
= 1.8279 kJ/kg.K
We also obtain the specific properties of air at temperature = 22°C + 273) K = 295 K
From the table A- 22
= 1.68515 kJ/kg . K
R =
0.95 bar
0.8 bar
Now replacing our values into equation (2) from above; we have;
Equating our result to equation (1)
Therefore , our assumption is wrong and the direction of flow is said to be from right to left.
We therefore conclude that the direction of flow is from right to left.
