Give the location of the image and the magnification, Physics

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Q. A 4.5cm needle is placed 12cm away from a convex mirror of focal length 15cm. Give the location of the image and the magnification. Describe what happens as the needle is moved farther from the mirror.

Answer

The Height of the needle h1 = 4.5cm

Object distance u=-12cm

Focal length of the convex mirror f=15cm

Image distance = v

The value of v is able to be obtained using the mirror formula:

Thus the image of the needle is 6.7cm away from the mirror. As well it is on the other side of the mirror.

The image size is given by the magnification formula:

2316_Give the location of the image and the magnification.png

Thus magnification of the image

1058_Give the location of the image and the magnification1.png

The height of the image is 2.5cm.The positive sign signifies that the image is virtual, erect, and diminished.

966_Give the location of the image and the magnification2.png

If the needle is moved be yond from the mirror, the image will as well move away from the mirror and the size of the image will decrease gradually.


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