There is a small source of light at some depth below the surface of water

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There is a small source of light at some depth below the surface of water

  • Correct Answer: D

    Solution :

    [d]  \[\sin \theta =\frac{3}{4}\]
                           
    There is a small source of light at some depth below the surface of water
                \[\cos \theta =\frac{\sqrt{7}}{4}\]
                \[\Omega =2\pi (1-\cos \theta )\]
                \[=2\pi \,\,(1-\sqrt{7}/4)\]
                Fraction of energy transmitted\[=\frac{1-\sqrt{7}/4}{2}\]
                \[=17%\]

warning Report Error

The aperture diameter of a telescope is 5m. The separation between the moon and the earth is 4 × 105 km. With light of wavelength of 5500 $$\mathop A\limits^o $$, the minimum separation between objects on the surface of moon, so that they are just resolved, is close to :

There is a small source of light at some depth below the surface of water
$$\theta $$ = 1.22$${\lambda \over a}$$

Distance O1O2 = ($$\theta $$)d

= (1.22$${\lambda \over a}$$)d = $${{\left( {1.22} \right)\left( {5500 \times {{10}^{ - 10}}} \right)\left( {4 \times {{10}^5}} \right) \times {{10}^3}} \over 5}$$

= 5368 × 10–2 m

= 53.68 m