For statement of question 118, if the heights of the two images are `h_(1)` and `h_(2)` , respectively,then the height of the object (h) is

Options

A. `h_(1)+h_(2)`
B. `h_(1)h_(2)`
C. `sqrt(h_(1)h_(2))`
D. `h_(1)//h_(2)`

Answer

c.

Explanation

As `m_(1)=(I_(1))/(O)=(upsilon_(1))/(u_(1))`
and `m_(2)=(I_(1))/(O)=(upsilon_(2))/(u_(2))`
`m_(1)xxm_(2)=(I_(1)I_(2))/(O^(2))=(upsilon_(1))/(u_(1))xx(upsilon_(2))/(u_(2))=1`
Hence, `O=sqrt(I_(1)I_(2))rArr sqrt(h_(1)h_(2))`