CBSE 2022 · Region 4 · Set 1 · Q11 · 3 marks
Identify electromagnetic waves which:(i)are used in radar system.(ii)affect a photographic plate.(iii)are used in surgery. Write their frequency range.A plane wavefront is propagating from a rarer into a denser medium. Use Huygens principle to show the refracted wavefront and verify Snell's law.
Identify electromagnetic waves which:
(i)
are used in radar system.
(ii)
affect a photographic plate.
(iii)
are used in surgery. Write their frequency range.
A plane wavefront is propagating from a rarer into a denser medium. Use Huygens principle to show the refracted wavefront and verify Snell's law.
Marking-scheme solution
a)
| - Identification of e.m. wave | $\displaystyle 1_{2}^{1}$ |
| - Frequency range | $\displaystyle 1_{2}^{1}$ |
(i) Microwave10^{10} \mathrm{~Hz}-10^{12} \mathrm{~Hz}
(ii) X-rays.10^{16} \mathrm{~Hz}-10^{20} \mathrm{~Hz}
Alternatively Gamma Ray10^{20} \mathrm{~Hz}-10^{24} \mathrm{~Hz}
(iii) Gamma Ray10^{20} \mathrm{~Hz}-10^{24} \mathrm{~Hz}
Alternatively Infrared Radiations10^{12} \mathrm{~Hz}-10^{14} \mathrm{~Hz}
(b) 
We consider, refracted wavefront CE and triangles ABC & AEC. From the triangles we obtained\sin \mathrm{i}=\frac{B C}{A C}=\frac{\mathrm{v}_{1} \tau}{A C}
\sin \mathrm{r}=\frac{A E}{A C}=\frac{\mathrm{v}_{2} \tau}{A C}Thus $\displaystyle \frac{\sin i}{\sin r}=\frac{\mathbf{v}_{2}}{\mathbf{v}_{1}}$
We know $\displaystyle \mathrm{n}=\frac{c}{\mathrm{~V}}$, So $\displaystyle \frac{\sin \boldsymbol{i}}{\boldsymbol{\operatorname { s i n }} \boldsymbol{r}}=\frac{\boldsymbol{n}_{\mathbf{2}}}{\boldsymbol{n}_{\mathbf{1}}}$ which is the Snell's law.Electromagnetic WavesElectromagnetic SpectrumUnderstandshort_answermedium
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CBSE Class 12 Physics past-paper question from the 2022board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.