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kifflom [539]
3 years ago
8

A double-slit interference pattern is created by two narrow slits spaced 0.21 mm apart. The distance between the first and the f

ifth minimum on a screen 61 cm behind the slits is 6.2 mm What is the wavelength of the light used in this experiment?
Physics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer:

\lambda =533.6 nm

Explanation:

the slits spacing, d = 0.21 mm

distance of screen, D = 61 cm

The condition for minima is given as

dsin(\theta) = \left ( n+\frac{1}{2} \right )\lambda

So, first minima, n = 0

dsin(\theta_1) = \frac{1}{2}\lambda

fifth minima, n = 4

dsin(\theta_5) = \frac{9}{2}\lambda

d(sin(\theta_5) -sin(\theta_1))= 4\lambda

For small angle

d(tan(\theta_5) -tan(\theta_1))= 4\lambda

From the figure:

d(\frac{y_5}{D}-\frac{y_1}{D})= 4\lambda

\frac{d}{D} (y_5-y_1) = 4\lambda

\lambda = \frac{d}{4D} (y_5-y_1)

\lambda = \frac{0.021}{4(61)} (6.2 \times 10^{-3})

\lambda =533.6 nm

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Explanation:

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According to the Einstein mass energy equivalence, the energy associated with the mass is given by

E = m c^2

E = 0.001 x 3 x 10^8

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8 0
4 years ago
You are doing an experiment to determine your reaction time. Your friend holds a ruler. You place your fingers near the sides of
olga2289 [7]
I'm guessing that you mean like this:
-- The ruler is held with zero at the bottom, and the centimeter markings
    increase as you go up the ruler.
-- You place your fingers with the ruler and the zero mark between them.
-- The number where you catch the ruler is the distance it has fallen.

Then, all we have to find is the time it takes for the ruler to fall 11.3 cm .

Here's the formula for the distance an object falls from rest
in a certain time:

                Distance = (1/2) (gravity) (time)²

On Earth, the acceleration of gravity is 9.8 m/s².
So we can write ...

                              11.2 cm  =  (1/2) (9.8 m/s²) (time)²
or
                         0.112 meter  =  (4.9 m/s²) (time)²                      

Divide each side
by  4.9 m/s² :        (0.112 m) / (4.9 m/s²)  =  time²

                            (0.112 / 4.9)  sec²  =  time²

Square root
each side:            time = √(0.112/4.9  sec²)

                                  =  √ 0.5488 sec²

                                  =      0.74 second     (rounded)  

4 0
3 years ago
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