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A curved surface of radius R separates t...

A curved surface of radius R separates two medium of refractive indices `mu_(1) "and" mu_(2)` as shown in figures A and B .

Identity the correct statement(s) related to the formation of images of a real object O placed at x from the pole of the concave surface, as shown in figure B

A

if `mu_(2) gt mu_(1)`, then virtual image is formed for any value of x

B

if `mu_(2) gt mu_(1)`, then virtual image is formed if `x lt (mu_(1)R)/(mu_(1)-mu_(2))`

C

if `mu_(2) gt mu_(1)`, then real image is formed for any value of x

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B,C
v gt0
`therefore (mu_(2))/(v) = (mu_(2)-mu_(1))/(-R) + (mu_(1))/(u) gt "and if" mu_(2) lt mu_(1)`
`(mu_(1)-mu_(2))/(R)- (mu_(1))/(x) gt 0, (mu_(1) - mu_(2))/(R) gt (u_(1))/(x)`
`therefore x gt (mu_(1)R)/(mu_(1)- mu_(2)) therefore (B) "if" mu_(2) lt mu_(1)`,
Then virtual image is formed of `x lt (mu_(1)R)/(mu_(1)-mu_(2))`
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Knowledge Check

  • A curved surface of radius R separates two medium of refractive indices mu_(1) "and" mu_(2) as shown in figures A and B . Choose the correct statement(s) related to the real image formed by the object O placed at a distance x, as shown in figure A.

    A
    Real image is always formed irrespective of the position of object `mu_(2) gt mu_(1)`
    B
    Real image is formed only when x>R
    C
    Real image is formed due to the convex nature of the interface irrespective of `mu_(1)` and `mu_(2)`
    D
    None of these

  • A curved surface of radius R separates two medium of refractive indices mu_(1) "and" mu_(2) as shown in figures A and B . Choose the correct statement(s) related to the virtual image formed by object O placed at a distance x, as shown in figure

    A
    Virtual image is formed for any position of O if `mu_(2) lt mu_(1)`
    B
    Virtual image can be formed if `x gt R` and `mu_(2) lt mu_(1)`
    C
    Virtual image is formed if `x lt R "and" mu_(2) gt mu_(1)`
    D
    None of these

  • A curved surface of radius R separates two medium of refractive indices mu_(1) and mu_(2) as shown in figures A and B Choose the correct statement(s) related to the real image formed by the object O placed at a distance x, as shown in figure A

    A
    Real image is always formed irrespective of the position of object if `mu_(2) gt mu_(1)`
    B
    Real image is formed only when `x gt R`
    C
    Real image is formed due to the convex nature of the interface irrespective of `mu_(1)` and `mu_(2)`
    D
    None of these

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