The working of which of the following is similar to that of a slide projector ?

• Electron microscope

• Scanning electron microsope

• Transmission electron microscope

• Atomic force microscope

A transparent cube of 0.21 m edge contains a small air bubble. Its apparent distance when viewed through one face of the cube is 0.10 m and when viewed from the opposite face is 0.04m. The actual distance of the bubble from the second face of the cube is

• 0.06 m

• 0.17 m

• 0.05 m

• 0.04 m

White light is incident on one of the refracting surfaces ofa prism ofangle 5°. Ifthe refractive indices for red and blue colours are 1.641 and 1.659 respectively, the angular separation between these two colours when they emerge out of the prism is

• 0.9°

• 0.09°

• 1.8°

• 1.2°

For a given lens, the magnification was found to be twice as large as when the object was 0.15 m distant from it as when the distance was 0.2 m. The focal length of the lens is 

• 1.5 m

• 0.20 m

• 0.10 m

• 0.05 m

To a fish under water, viewing obliquely a fisherman standing on the bank of a lake, the man looks

• taller than what he actually is

• shorter that what he actually is

• the same height as he actually is

• depends on the obliquity

A thin prism P₁ with angle 4° made from a glass of refractive index 1.54 is combined with another thin prism P₂ made from glass of refractive index 1.72 to produce dispersion without deviation.The angle of the prism P₂ is

• 5.33°

• 4°

• 3°

• 2.6°

Specific rotation of sugare solution is 0.5 deg m²/kg. 200 kgm^-3 of impure sugar solution is taken in a sample polarimeter tube of length 20 cm and optical rotation is found to be 19°. The percentage of purity of sugar is

• 20 %

• 80 %

• 95 %

• 89 %

A ray oflight is travelling from glass to air. (refractive index of glass = 1.5). The angle of incidence is 50°. The deviation of the ray is

• 0°

• 80°

• $50° - {\sin }^{-1} \left[\frac{\sin 50°}{1.5}\right]$

• ${\sin }^{-1} \left[\frac{\sin 50°}{1.5}\right] - 50°$

109.

A vessel of height 2d is half-filled with a liquid of refractive index $\sqrt{2}$ and the other half with a liquid of refractive index n (the given liquids are immiscible). Then the apparent depth of the inner surface of the bottom of the vessel (neglecting the thickness of the bottom of the vessel) will be

• $\frac{\mathrm{n}}{\mathrm{d} \left(\mathrm{n} + \sqrt{2}\right)}$

• $\frac{\mathrm{d} \left(\mathrm{n} + \sqrt{2}\right)}{\mathrm{n}\sqrt{2}}$

• $\frac{\sqrt{2}\mathrm{n}}{\mathrm{d} \left(\mathrm{n} + \sqrt{2}\right)}$

• $\frac{\mathrm{nd}}{\mathrm{d} + \sqrt{2\mathrm{n}}}$

A ray of light is incident normally on one face of a right angled isosceles prism. It then grazes the hypotenuse. The refractive index of the material of the prism is

• 1.33

• 1.414

• 1.5

• 1.732