CBSE Class 12 Physics 2017 Outside Delhi Set 1 Paper

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Question : 15
Total: 26
(a) Monochromatic light of wavelength 589‌nm is incident from air on a water surface. If µ for water is 1.33 , find the wavelength, frequency and speed of the refracted light.
(b) A double convex lens is made of a glass of refractive index 1.55 , with both faces of the same radius of curvature. Find the radius of curvature required, if the focal length is 20‌cm.
Solution:  
(a) Calculation of wavelength, frequency and speed
(b) Lens Maker's Formula
Calculation of R

(a) λ=‌
589‌nm
1.33
=442.8‌nm

Frequency v=‌
3×108ms−1
589‌nm

=5.09×1012‌Hz
Speed v=‌
3×108
1.33
m
∕ s
=2.25×108m∕ s
‌ (b) ‌‌
1
f
‌
=[‌
µ2
µ1
−1
]
[‌
1
R1
−‌
1
R2
]

∴‌‌
1
20
=[‌
1.55
1
−1
]
‌
2
R

∴R‌=(20×1.10)‌cm=22‌cm
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