Answer:
Difference in Twin's Ages = 12.68 years
Explanation:
Using special theory of relativity's time dilation phenomenon, we first find the time that is passed on earth during Lou's trip.
t = t₀/[√(1 - v²/c²)]
where,
t = time measured by the person in relative motion = 1 year
t₀ = time measured by the person at rest = ?
v = speed of relative motion = 0.96 c
c = speed of light
Therefore,
1 year = t₀/[√(1 - 0.96² c²/c²)]
1 year = t₀/[√(1 - 0.9216)]
(1 year)(0.28 year) = t₀
t₀ = 0.28 year
Let,
y = Sue's age
x = Lou's age
so,
x - y = 13.4 years
but, after this trip Lou has aged 1 year, and on earth only 0.28 years passed so, Sue has aged only 0.28 years. Therefore,
x = x + 1
y = y + 0.28
Therefore,
(x + 1 year) - (y + 0.28 year) = 13.4 years
x - y = 13.4 years - 0.72 year
x - y = 12.68 years
<u>Difference in Twin's Ages = 12.68 years</u>
Answer;
=0.43 m/s²
Solution;
There will be the tension in the cable, T, upwards and the weight of the elevator, mg, downwards.
By Newton's second law, the sum of the forces will be equal to mass×acceleration.
Resultant force = m × a
Then T - mg = ma so the tension in the cable is
T = m(g+a)
The cable will break when T = 21,800 N
Solving for a, that happens when
a = 21800/2130 - g
= 10.23 - g (in m/s^2)
If you're using g = 9.8 m/s^2
Then the maximum acceleration allowed is 10.23-9.8 = 0.43 m/s^2
The spacing between the fringes does not depend on the width of the slit.
The light intensity produced by the slits increases with increased width of the slit. The screen thus develops brighter fringes as the slit width increases.
On the screen, coloured fringes will be created if the white light replaces monochromatic light.
<h3>What is diffraction?</h3>
Diffraction is the breaking up of an electromagnetic wave as it passes a geometric structure (e.g. a slit), followed by reconstruction of the wave by interference. Diffraction occurs for all types of waves, including sound waves.
Learn more about diffraction:
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