The lattice constant of a crystal is $2 A^{o}$ . The maximum wavelength of X-rays which can be analysed by this crystal will be

1 A^{o}

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2 A^{o}

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3 A^{o}

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4 A^{o}

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Solution

The correct option is B $4 A^{o}$
According to Bragg's law of X-ray diffraction,
$2 d s i n θ = n λ$ $n = 1, 2, 3, . . . .$
where $d$ is the lattice constant, $θ$ is the angle of incidence of the X-rays on the crystal and $λ$ is the wavelength of the incident rays. For $λ$ to be maximum, $n = 1$ and $s i n θ = 1$
$∴$ $λ_{m a x} = 2 d$
$⟹$ $λ_{m a x} = 4 A$

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The lattice constant of a crystal is 2Ao. The maximum wavelength of X-rays which can be analysed by this crystal will be

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