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The apparent depth of water in cylindric...

The apparent depth of water in cylindrical water tank of diameter `2R cm` is reducing at the rate of `x cm // min ` when water is being drained out at a constant rate. The amount of water drained in `c.c.` per minute is `(n_(1)=` refractive index of air, `n_(2)=` refractive index of water )

Text Solution

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The correct Answer is:
`(x pi R^(2)n_(2))/n_(1)`
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Knowledge Check

  • The apparent depth of ater in water in cylindrical water tank of diameter 2R cm is reducing at the rate of x cm//min when is being drined out a constant rate. The amount of water drained in cc//min is ( n_1= refractive index of air, n_2= refractive index of water)

    A
    `(xpiR^2n_1)/n_2`
    B
    `(xpiR^2n_1)/n_1`
    C
    `(2piRn_1)/n_2`
    D
    `piR^2x`

  • A lens behaves as a converging lens in air and a diverging lens in water. The refractive index of the material is (refractive index of water =1.33 )

    A
    equal to unity
    B
    equal to `1.33`
    C
    between unity and `1.33`
    D
    greater than `1.33`

  • Water is being poured into an open cylindrical can of radius 2ft. At the rate of 6 cu.ft//min . The depth of water in the can is increasing at the rate of

    A
    `(3pi)/(2) ft.//min`.
    B
    `(2)/(3pi) ft.//min`.
    C
    `(3)/(2pi)ft.//min`.
    D
    `(2pi)/(3) ft.//min`.

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