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Comment on the below statement </br> Br...

Comment on the below statement
Bragg reflection can occur only when `gamma le 2d`.

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To comment on the statement "Bragg reflection can occur only when \( \gamma \leq 2d \)", we need to analyze the conditions under which Bragg's law is satisfied. ### Step-by-Step Solution: 1. **Understanding Bragg's Law**: Bragg's law is given by the equation: \[ n\lambda = 2d \sin \theta \] where: - \( n \) is the order of reflection (an integer), - \( \lambda \) is the wavelength of the incident wave, - \( d \) is the distance between the crystal planes, - \( \theta \) is the angle of incidence. 2. **Analyzing the Condition**: For Bragg reflection to occur, the sine function must yield a valid output. The sine function, \( \sin \theta \), can only take values between -1 and 1. Therefore, we can derive the following condition from Bragg's law: \[ n\lambda = 2d \sin \theta \implies \sin \theta = \frac{n\lambda}{2d} \] This implies that: \[ -1 \leq \sin \theta \leq 1 \] Thus, we need: \[ -1 \leq \frac{n\lambda}{2d} \leq 1 \] 3. **Deriving the Wavelength Condition**: From the above inequality, we can derive: \[ -2d \leq n\lambda \leq 2d \] Since \( n \) is a positive integer (for the first order reflection, \( n = 1 \)), we can simplify this to: \[ 0 \leq n\lambda \leq 2d \] This leads us to conclude that: \[ \lambda \leq 2d \] 4. **Conclusion**: Therefore, the statement "Bragg reflection can occur only when \( \gamma \leq 2d \)" is indeed true, as \( \gamma \) represents the wavelength \( \lambda \). The condition \( \lambda \leq 2d \) is necessary for Bragg reflection to occur. ### Final Comment: The statement is true because Bragg reflection is only possible when the wavelength of the incident wave is less than or equal to twice the distance between the crystal planes.

To comment on the statement "Bragg reflection can occur only when \( \gamma \leq 2d \)", we need to analyze the conditions under which Bragg's law is satisfied. ### Step-by-Step Solution: 1. **Understanding Bragg's Law**: Bragg's law is given by the equation: \[ n\lambda = 2d \sin \theta ...
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CENGAGE CHEMISTRY ENGLISH-SOLID STATE-Exercises (True/False)
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  2. If the radius of the spheres in the close packing is R and the radius ...

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  3. Is the below statement correct or wrong </br> </br> In crystals, the s...

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  4. Comment on below statement </br> Amorphous solids lack the repeact ord...

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  5. Comment on below statement </br> In bcc lattice, the atoms at the corn...

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  6. The cubic close-packed structure is based on an fcc unit cell.

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  7. In ZnS (zinc blende) strucutre, the CN of each ion ie 4.

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  8. Solids with Schottky defects are electrical insulators.

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  9. Platinum crystallizes in fcc crystal with a unit cell length a. The at...

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  10. There are four formula units in fluorite and antifluorite structure.

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  11. In antifluorite structure, 50% of TVs are occupied by anion.

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  12. In fluorite structure, 100% of TVs are occupied by cations.

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  13. The number of carbon atoms per unit cell of diamond unit cell is

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  14. ZnS exists in two different form: zinc blende and wurtzite. Both occur...

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  15. Fe^(III) (Fe^(II) Fe^(III))O(4) represent an inverse 2 : 3 spinel stru...

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  16. The addition of CaCl(2) to a KCl crystal lowers the density of the KCl...

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  17. The maximum number of Bravais lattices is shown by tetragonal-type cry...

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  18. Comment on the below statement </br> Bragg reflection can occur only ...

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  19. Comment on the below statement </br> TVs and OVs both are found is hc...

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