CBSE Class 12 Physics 2023 Outside Delhi Set 1 Paper

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Question : 9
Total: 35
A beam of light travels from air into a medium. Its speed and wavelength in the medium are 1.5×108 ms−1 and 230‌nm respectively. The wavelength of light in air will be
In the medium
c‌=nλ
or, 1.5×108‌=n×230×10−9
or, n‌=‌
1.5×108
230×10−9

∴n‌=‌
1.5
230
×1017‌Hz

In air,
Frequency remains unchanged. So,
n‌=‌
1.5
230
×1017‌Hz

v′‌=nλ′
‌‌ or, ‌‌‌3×108=‌
1.5
230
×1017
×λ′

‌∴‌‌λ′=3×‌
230
1.5
×10−9

‌=460‌nm
‌
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