Tag: superposition of waves

Questions Related to superposition of waves

Two wave-fronts are emitted from coherent sources of path difference between them is $2.1$ micron. Phase difference between the wave-fronts at that point is $7.692\ \pi$. Wavelength of light emitted by sources will be :

physics superposition of waves difference between interference and diffraction explaining wave phenomena diffraction

  1. $5386\mathring{A}$

  2. $5400\mathring{A}$

  3. $5460\mathring{A}$

  4. $5892\mathring{A}$

Show answer
Correct Option: C
Explanation:
Given:
$\Delta x=2.1 \times 10^{-6}\\\Delta \phi=7.6922$

$\Phi =\dfrac{2\pi \Delta x}{\lambda}$

$\lambda=\dfrac{2\pi\times 2.1\times 10^{-6}}{7.692\pi}$

$\lambda=5460\times 10^{-10}m$

The sodium yellow doublet has wavelengths $5890\mathring{A}$ and $'\lambda' \mathring{A}$ and resolving power of a grating to resolve these lines is $982$, then value of $\lambda$ is :

physics superposition of waves difference between interference and diffraction explaining wave phenomena diffraction

  1. $5896\mathring{A}$

  2. $5880\mathring{A}$

  3. $5869\mathring{A}$

  4. $5876\mathring{A}$

Show answer
Correct Option: A