When an object 5 cm height is placed at a distance 60 cm in front of a concave mirror of focal length 10 cm find the position and size of the image please send the correct step by step explanation
Answers
Given :
In concave mirror,
Object distance = 5cm
Object distance = - 60cm
Focal lenght = - 10cm
To find :
The position and size of the image.
Solution :
In concave mirror focal length and image distance is negative.
» A formula which gives the relationship between image distance, object distance and focal length of a sperical mirror is known as the mirror formula .i.e.,
where,
- v denotes Image distance
- u denotes object distance
- f denotes focal length
now, substituting all the given values,
Thus, the position of image is -12cm.
» The Magnification produced by a mirror is equal to the ratio of the image distance to the object distance with a minus sign and is also equal to the ratio of height of the image to the height of the object .i.e.,
where,
- v denotes image distance
- u denotes object distance
- h' denotes image height
- h denotes object height
Now, substituting all the given values in the formula,
thus, the size of the image is -1cm.
Answer:
The size of the image is -1 cm