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A beam of diameter 'd' is incident on a ...

A beam of diameter 'd' is incident on a glass hemisphere as shown. If the radius of curvature of the hemisphere is very large in comparison to d, then the diameter of the beam at the base of the hemisphere will be

A

`(3)/(4)d`

B

distance between object and screen is 90 cm

C

`(d)/(3)`

D

`(2)/(3)d`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A beam of diameter 'd' is incident on a glass hemisphere as shown in the figure. If the radius of curvature of the hemisphere is very large in comparision to d, then the diameter of the beam at the base of the hemisphere will be:

    A
    `(3)/(4) d`
    B
    d
    C
    `(d)/(3)`
    D
    `(2)/(3)d`

  • If the total suface area of a hemisphere is 27 pi square cm, then the radius of the base of the hemisphere is

    A
    `9sqrt3` cm
    B
    3 cm
    C
    `3sqrt3`
    D
    9 cm

  • Twelve solid hemispheres of the same size are melted and recast in a right circular cylinder of diameter 7 cm and height 28 cm. What is the radius of the hemispheres?

    A
    4.5 cm
    B
    3.5 cm
    C
    3 cm
    D
    3.8 cm

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    A hollow sphere with outer diameter 24 cm is cut into two equal hemispheres. The total surface area of one of the hemispheres is 1436(2)/7 cm^2 . Each one of the hemispheres is filled with water. What is the volume of water that can be filled in each of the hemispheres?

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