1.

a. State the law of distances . b.Using the law deduce that an object between F and 2F a concave mirror produces real image beyond 2F.

Answer»

Solution :a. `(1)/(V) + (1)/(u) = (1)/(f)`
u - Object distance
v - image distance
f - FOCAL LENGTH
b.For concave mirror, f `lt ` 0
Fro object, u `lt ` 0
For 2f `lt u lt f, ` we get `(1)/(2f) lt (1)/(u) lt (1)/(f) "" i.e.,- (1)/(2f)lt - (1)/(u) lt - (1)/(f) `
`(1)/(f) - (1)/(2f) lt (1)/(f) - (1)/(u) lt (1)/(f) - (1)/(f) `
`(2- f)/(2f) lt (1)/(v) lt 0 "" [ "SINCE" (1)/(v) = (1)/(f) - (1)/(u) ]`
i.e,`(1)/(2f) lt (1)/(v) lt 0 `i.e., image lies on the left, beyond 2F and it is real.


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