A cylindrical vessel of diameter 12 cm has $800 π {c m}^{3}$ water. A cylindrical glass piece of diameter 8 cm and height 8 cm is placed in its as shown in Fig. what is the position of image of bottom of the vessel seen through paraxial rays passing through the glass cylinder?

6.2 cm above the bottom

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7.1 cm above the bottom

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6.6 cm above the bottom

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none of these

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Solution

The correct option is A 7.1 cm above the bottom
$π 6^{2} h = 800 π + π 4^{2} (8) o r h = \frac{928}{36} = 25.8 c m$
$Δ = ⎛ ⎜ ⎜ ⎜ ⎝ 17.8 - \frac{17.8}{\frac{4}{3}} ⎞ ⎟ ⎟ ⎟ ⎠ + (8 - \frac{8}{1.5})$

$= 4.45 + 2.67 = 7.1 c m$ above the bottom.

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A cylindrical vessel of diameter 12 cm contains $800 π c m^{3}$ of water. A cylindrical glass piece of diameter 8.0 cm and height 8.0 cm is placed in the vessel. If the bottom of the vessel under the glass piece is seen by the paraxial rays (see figure), locate its image. The index of refraction of glass is 1.50 and that of water is 1.33.

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A cylindrical vessel of diameter 12 cm has 800πcm3 water. A cylindrical glass piece of diameter 8 cm and height 8 cm is placed in its as shown in Fig. what is the position of image of bottom of the vessel seen through paraxial rays passing through the glass cylinder?

The correct option is A 7.1 cm above the bottomπ62h=800π+π42(8)or h=92836=25.8cm Δ=⎛⎜ ⎜ ⎜⎝17.8−17.843⎞⎟ ⎟ ⎟⎠+(8−81.5)=4.45+2.67=7.1cm above the bottom.

A cylindrical vessel of diameter 12 cm has $800 π {c m}^{3}$ water. A cylindrical glass piece of diameter 8 cm and height 8 cm is placed in its as shown in Fig. what is the position of image of bottom of the vessel seen through paraxial rays passing through the glass cylinder?

The correct option is A 7.1 cm above the bottom
$π 6^{2} h = 800 π + π 4^{2} (8) o r h = \frac{928}{36} = 25.8 c m$
$Δ = ⎛ ⎜ ⎜ ⎜ ⎝ 17.8 - \frac{17.8}{\frac{4}{3}} ⎞ ⎟ ⎟ ⎟ ⎠ + (8 - \frac{8}{1.5})$

$= 4.45 + 2.67 = 7.1 c m$ above the bottom.