Answer:
The formula is the form -
m λ = d sin Θ
As the wavelength λ is decreased sin Θ will also decrease.
One can see from the derivation that as the wavelength, being considered,
is decreased the dispersion will also decrease.
Answer:
The fluids speed at a)
and b)
are
and
respectively
c) Th volume of water the pipe discharges is:
Explanation:
To solve a) and b) we should use flow continuity for ideal fluids:
(1)
With Q the flux of water, but Q is
using this on (1) we have:
(2)
With A the cross sectional areas and v the velocities of the fluid.
a) Here, we use that point 2 has a cross-sectional area equal to
, so now we can solve (2) for
:

b) Here we use point 2 as
:

c) Here we need to know that in this case the flow is the volume of water that passes a cross-sectional area per unit time, this is
, so we can write:
, solving for V:

The angle of the planet is mathematically given as
dY= 704 degrees
<h3>What angle has planet Y rotated through during this time?</h3>
With Kepler's third rule, which states that a planet's orbit squared is a function of cubed radius, we can prove that this is the case.
Generally, the equation for the period is mathematically given as
(periodX / periodY)^2 = (radius X / radius Y)^3
Therefore
(pX / pY)^2 = 4^3
(pX / pY)^2 = 64
\sqrt{(pX / pY )^2}= \sqrt{64}
(pX / pY=8
In conclusion, Because it takes 8 times longer to complete one orbit on planet X, planet Y travels 8 times farther than planet X does in the same time period...
planet Y travels ;
dY=8 * 88.0
dY= 704 degrees
Read more about Kepler's third rule
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The slope and curvature of space time which is being derived from the Einstein's law of gravitation which was modified later it gives three slopes value (-,0,+ )