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mylen [45]
4 years ago
10

In a Young’s double-slit experiment, the angle that locates the second dark fringe on either side of the central bright fringe i

s 5.4. Find the ratio d/ of the slit separation d to the wavelength of the light. (d / λ) =?
Physics
1 answer:
AVprozaik [17]4 years ago
4 0

Answer:

d / λ = 26.7

Explanation:

In Young's double slit experiment, constructive interference is described by the expression

    d sin θ = m λ

In the case of destructive interference we must add half wavelength (λ/2)

    d siyn θ = (m + ½) λ

Let's clear

     d / λ = (m + ½) / sin θ

Let's calculate

    d / λ = (2+ ½) / sin 5.4

    d / λ = 5 / (2 sin 5.4)

    d / λ = 26.7

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A 250 GeV beam of protons is fired over a distance of 1 km. If the initial size of the wave packet is 1 mm, find its final size
Margarita [4]

Answer:

The final size is approximately equal to the initial size due to a very small relative increase of 1.055\times 10^{- 7} in its size

Solution:

As per the question:

The energy of the proton beam, E = 250 GeV =250\times 10^{9}\times 1.6\times 10^{- 19} = 4\times 10^{- 8} J

Distance covered by photon, d = 1 km = 1000 m

Mass of proton, m_{p} = 1.67\times 10^{- 27} kg

The initial size of the wave packet, \Delta t_{o} = 1 mm = 1\times 10^{- 3} m

Now,

This is relativistic in nature

The rest mass energy associated with the proton is given by:

E = m_{p}c^{2}

E = 1.67\times 10^{- 27}\times (3\times 10^{8})^{2} = 1.503\times 10^{- 10} J

This energy of proton is \simeq 250 GeV

Thus the speed of the proton, v\simeq c

Now, the time taken to cover 1 km = 1000 m of the distance:

T = \frac{1000}{v}

T = \frac{1000}{c} = \frac{1000}{3\times 10^{8}} = 3.34\times 10^{- 6} s

Now, in accordance to the dispersion factor;

\frac{\delta t_{o}}{\Delta t_{o}} = \frac{ht_{o}}{2\pi m_{p}\Delta t_{o}^{2}}

\frac{\delta t_{o}}{\Delta t_{o}} = \frac{6.626\times 10^{- 34}\times 3.34\times 10^{- 6}}{2\pi 1.67\times 10^{- 27}\times (10^{- 3})^{2} = 1.055\times 10^{- 7}

Thus the increase in wave packet's width is relatively quite small.

Hence, we can say that:

\Delta t_{o} = \Delta t

where

\Delta t = final width

3 0
3 years ago
I dont understand??????????????
Strike441 [17]

The sum of the two vectors in A, B, and C is equal to the sum of the two vectors above the line.  The sum of the two vectors in D isn't.

7 0
3 years ago
Instrumento que se utiliza para medir fuerzas
Klio2033 [76]

Answer:

Un medidor de fuerza

A force gauge for all you English speakers

Explanation:

Un medidor de fuerza es un instrumento de medición que se utiliza para medir fuerzas.

A force gauge is a measuring instrument used to measure forces.

8 0
3 years ago
A car traveling on the highway at 15 m/s accelerates at 3.0 m/s2 for 5.0 s. What is its final velocity?
Nataly_w [17]

Answer:

The answer to your question is:  vf = 30 m/s

Explanation:

Data

vo = 15 m/s

a = 3.0 m/s²

t = 5 s

vf = ?

Formula

vf = vo + at

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vf = 30 m/s

3 0
3 years ago
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nataly862011 [7]
Wavelength= speed / frequency 

so.....3× 10^8 / 7.26×10^14
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6 0
3 years ago
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