Simplify each of the following by rationalizing the denominator. 7 root 3 -5 root 2 divided by root 48
Answers
Step-by-step explanation:
Answer:
Given:
We have been given that the object size(h) = +7.0cm, object distance(u) = -27cm, focal length(f) = -18cm.
To Find:
We need to find the image distance(v) and image size(h'). We also need to find the nature of the image.
Solution:
As it is given that object distance(u) = -27cm and the focal length(f) = -18cm, therefore we can find the image distance by the mirror formula.
1/v + 1/u = 1/f
=> 1/v + 1/-27 = 1/-18
=> 1/v = 1/-18 - 1/-27
=> 1/v = (-3 + 2)/54
=> 1/v = -1/54
=> v = -54cm
Magnification = h/h' = -v/u
= -(-54)/(-27)
= 54/(-27)
= -2
Now, we need to find the Image size, we have
h' = -vh/u
=> {-(-54) × (7)}/(-27)
= (54 × 7)/(-27)
= 378/(-27)
= -14cm
Therefore, the image is real, inverted and enlarged in size.sjajnsnssmakakkakaksksejt