The distance of the image from the lens is 42 cm while the - symbol denotes that the image is virtual. And the height of the image is 35 cm while the negative sign denotes that the image is inverted.
Given to us
5. 0 cm object is 6. 0 cm from a convex lens, which has a focal length of 7. 0 cm.
To find the distance of the image from the lens, we will use the formula,
[tex]\dfrac{1}{f} = \dfrac{1}{p}+\dfrac{1}{q}[/tex]
Substitute the values,
focal length, f = 7 cm
object distance, p = 6 cm
image distance = q
[tex]\dfrac{1}{7} = \dfrac{1}{6}+\dfrac{1}{q}\\\\q = -42\rm\ cm[/tex]
Thus, the distance of the image from the lens is 42 cm while the - symbol denotes that the image is virtual.
To find the height of the image from the lens, we will use the formula,
[tex]\dfrac{h}{h'} =\dfrac{p}{q}[/tex]
[tex]\dfrac{5}{h'}=\dfrac{6}{-42}\\\\h' = -35\rm \ cm[/tex]
Hence, the height of the image is 35 cm while the negative sign denotes that the image is inverted.
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