In: Physics
Hey there!
The magnification of a lens can be given with the formula
where di is the distance between the image and the mirror and d0 is the distance between the object and the mirror.
Here the clown is 30 cm away from the mirror and gievn that m = +2.0
Hence the distance between the mirror and the object can be given as
Hence -d0 = 2 x 30 cm = -60 cm (virtual image)
Note that if the value of di is negative then the image appears behind the mirror (virtual image). In our case, the image appears behind the mirror by 60 cm as virtual image and the object is in front of the mirror by 30 cm. Hence we could say that the mirror is CONVEX.
The focal length of a lens can be given as
By substituting, we get,
I hope the solution helps... Feel free to comment and discuss further.. Cheers :)