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An observer can see through a small hole...

An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of 15 cm from the bottom (see figure). The hole is at a height of 45 cm. When the jar is filled with a liquid up to a height of 30 cm the same observer can see the edge at the bottom of the jar. If the refractive index of the liquid is `N//100`, where N is an integer, the value of N is ___________.

Text Solution

Verified by Experts

The correct Answer is:
`158`

`mu sin I = 1 sin 45 `
` mu = ( 15 )/( sqrt((1125 )) = 1/(sqrt(2))`
` mu = ( sqrt(1125 ))/( 15 sqrt(2))`
` mu = sqrt((1125)/( 450 ))`
` mu = 1.58 `
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Knowledge Check

  • An observer can see through a pin-hole the top end of a thin of height h, places as shown in figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is

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