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Question
Prove that a convex lens can only form a virtual, erect and diminished image.
Solution
m = `"v"/"u"`
`1/"f" = 1/"v" - 1/"u"`
xly by u
`"u"/"f" = "u"/"v" - 1`
`"u"/"f" + 1 = 1/"m"`
`("u + f")/"f" = 1/"m"`
m = `"f"/("u + f")`
m > 0 → (virtual)
m = `"f"/("u + f")`
O < m < 1 → diminished
m = `"I"/"O"` > 0
I → Erect
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