Chapter 36: Q68P (page 1113)

If first-order reflection occurs in a crystal at Bragg angle $3.4 °$ , at what Bragg angle does second-order reflection occur from the same family of reflecting planes?

Short Answer

Expert verified

The angle will be 6.8 degrees.

Step by step solution

Introduction of diffraction

Diffraction is a phenomena in which the interference or the bending of waves occurs around the corners of the opening or obstacle through or on which it strikes.

The diffraction formula is following,

$nλ = 2 dsinθ λ = wavelength d = spacing θ = bragg angle n = order of diffraction$

Step 2: Identification of the given data

The bragg angle is, $θ_{1} = 3.4 °$ .

Determination of the Bragg angle at which second order reflection

From the given relationship of the wavelengths the angle will be,

$\frac{2 d \sin θ_{2}}{2 d \sin θ_{1}} = \frac{2 λ}{1 λ} \sin θ_{2} = 2 \sin θ_{1}$

Substitute all the value in the above equation.

$\sin θ_{2} = 2 \times \sin 3.4 ° \sin θ_{2} = 0.1186 θ_{2} = \sin^{- 1} 0.1186 θ_{2} = 6 . 8^{0}$

Hence the angle is, $6 . 8^{0}$ .

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If first-order reflection occurs in a crystal at Bragg angle $3.4 °$ , at what Bragg angle does second-order reflection occur from the same family of reflecting planes?

Short Answer

Step by step solution

Introduction of diffraction

Step 2: Identification of the given data

Determination of the Bragg angle at which second order reflection

One App. One Place for Learning.

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If first-order reflection occurs in a crystal at Bragg angle3.4°, at what Bragg angle does second-order reflection occur from the same family of reflecting planes?

Short Answer

Step by step solution

Introduction of diffraction

Step 2: Identification of the given data

Determination of the Bragg angle at which second order reflection

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Rotational Dynamics

Torque and Rotational Motion

Kinematics Physics

Famous Physicists

Oscillations

Fields in Physics

Study anywhere. Anytime. Across all devices.

If first-order reflection occurs in a crystal at Bragg angle $3.4 °$ , at what Bragg angle does second-order reflection occur from the same family of reflecting planes?