The first order reflection of the beam of X-ray from a given crystal occurs at 5-15- At what angle will be the third order reflection-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Physics

Laws of Reflection

The first ord...

Question

The first order reflection of the beam of X-ray from a given crystal occurs at $5^{\circ} 15^{'}$ . At what angle will be the third order reflection?

Open in App

Solution

Using Bragg's Equation:

$n λ = 2 d$ $s i n θ$ (Equation for diffraction of $X$ rays)
for $n = 1$ , $θ = 5^{\circ} 15^{'}$

$\frac{λ}{2 d} = s i n$ $5^{\circ} 15^{'} = 0.091$

for $n = 3$ ,
$s i n θ_{2} = \frac{3 λ}{2 d} = 0.273$
$θ_{2} = {15.842}^{\circ}$

Suggest Corrections

Similar questions

Q. The first order reflection

(n = 1)

from a crystal of the X-ray from a copper anode tube

(1.54 ˚ A)

occurs at an angle of

45^{\circ}

. What is the distance between the set of plane causing the diffraction?

X-rays are incident normally on a crystal of lattice constant 0.6 nm. The first order reflection of diffraction from the crystal occurs at an angle of $30^{\circ}$ . What is the wavelength of X-rays used?

Q. Two lines

A

and

B

of an X-ray give second order reflection maximum at a glancing angle of

60^{\circ}

and third order reflection maximum at an angle of

30^{\circ}

respectively from the face of the same crystal. If the wavelength of line

B

0.25 nm

, then the wavelength of line

A

will be -

Q. The first order reflection of a beam of X-rays of wavelength

1.54 \circ A

from the

(100)

face of a crystal of the simple cubic type occurs at an angle of

{11.29}^{\circ}

. Calculate the length of the unit cell.

Join BYJU'S Learning Program

The first order reflection of the beam of X-ray from a given crystal occurs at 5∘15′. At what angle will be the third order reflection?

Using Bragg's Equation:nλ=2d sinθ (Equation for diffraction of X rays)for n=1, θ=5∘15′λ2d=sin 5∘15′=0.091for n=3,sinθ2=3λ2d=0.273θ2=15.842∘

The first order reflection of the beam of X-ray from a given crystal occurs at $5^{\circ} 15^{'}$ . At what angle will be the third order reflection?

Using Bragg's Equation:

$n λ = 2 d$ $s i n θ$ (Equation for diffraction of $X$ rays)
for $n = 1$ , $θ = 5^{\circ} 15^{'}$

$\frac{λ}{2 d} = s i n$ $5^{\circ} 15^{'} = 0.091$

for $n = 3$ ,
$s i n θ_{2} = \frac{3 λ}{2 d} = 0.273$
$θ_{2} = {15.842}^{\circ}$