How much water should be filled in a container 21 cm in height, so that it appears half filled when viewed from the top of the container (given that $_{a} μ_{w}$ = $\frac{4}{3}$ )

8.0 cm

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10.5 cm

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12.0 cm

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None of the above

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Solution

The correct option is C
12.0 cm

Let it be filled till 'x' cm.

$_{a} μ_{w}$ = $Refractive index of waterRefractive index of air$

$\frac{3}{4}$ = $\frac{21 - x}{x}$

x = 12cm

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How much water should be filled in a container 21 cm in height, so that it appears half filled when viewed from the top of the container (given that aμw = 43)

The correct option is C 12.0 cm Let it be filled till 'x' cm. aμw = Refractive index of waterRefractive index of air 34 = 21−xx x = 12cm

How much water should be filled in a container 21 cm in height, so that it appears half filled when viewed from the top of the container (given that $_{a} μ_{w}$ = $\frac{4}{3}$ )

The correct option is C
12.0 cm

Let it be filled till 'x' cm.

$_{a} μ_{w}$ = $Refractive index of waterRefractive index of air$

$\frac{3}{4}$ = $\frac{21 - x}{x}$

x = 12cm