A mirror forms an image which is 30 cm from the object and twice its height, where must mirror be situated?
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Answered by
15
Mirror is situated at a distance of 30cm from the image.(according to your question). If you want more, then it is given below...
Assuming that a real image is formed,
magnification = -2
image distance = -30 cm
object distance = u
![m = - \frac{v}{u}\\ \\-2= -(\frac{-30}{u} ) \\ \\ -2= \frac{30}{u}\\ \\u= \frac{30}{-2}\\ \\u =\boxed{-15cm} m = - \frac{v}{u}\\ \\-2= -(\frac{-30}{u} ) \\ \\ -2= \frac{30}{u}\\ \\u= \frac{30}{-2}\\ \\u =\boxed{-15cm}](https://tex.z-dn.net/?f=m+%3D+-+%5Cfrac%7Bv%7D%7Bu%7D%5C%5C+%5C%5C-2%3D+-%28%5Cfrac%7B-30%7D%7Bu%7D+%29+%5C%5C++%5C%5C+-2%3D+%5Cfrac%7B30%7D%7Bu%7D%5C%5C+%5C%5Cu%3D+%5Cfrac%7B30%7D%7B-2%7D%5C%5C+%5C%5Cu+%3D%5Cboxed%7B-15cm%7D)
Using mirror formula;
![\frac{1}{f} = \frac{1}{u}+ \frac{1}{v} = \frac{1}{-15}+ \frac{1}{-30} = \frac{-2-1}{30} \\ \\ \frac{1}{f}= \frac{-3}{30}\\ \\ f= \frac{30}{-3}=\boxed {-10cm} \frac{1}{f} = \frac{1}{u}+ \frac{1}{v} = \frac{1}{-15}+ \frac{1}{-30} = \frac{-2-1}{30} \\ \\ \frac{1}{f}= \frac{-3}{30}\\ \\ f= \frac{30}{-3}=\boxed {-10cm}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7Bf%7D+%3D++%5Cfrac%7B1%7D%7Bu%7D%2B+%5Cfrac%7B1%7D%7Bv%7D++%3D+%5Cfrac%7B1%7D%7B-15%7D%2B+%5Cfrac%7B1%7D%7B-30%7D+%3D+%5Cfrac%7B-2-1%7D%7B30%7D+%5C%5C+%5C%5C+%5Cfrac%7B1%7D%7Bf%7D%3D+%5Cfrac%7B-3%7D%7B30%7D%5C%5C+%5C%5C+f%3D+%5Cfrac%7B30%7D%7B-3%7D%3D%5Cboxed+%7B-10cm%7D+)
Assuming that a real image is formed,
magnification = -2
image distance = -30 cm
object distance = u
Using mirror formula;
Answered by
0
No sir 30 cm is distance between image and object . Ans is 10 cm from the object.
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