A 6 cm object is 8 cm from a convex lens that has a focal length of 2.7 cm. The image is 4 cm from the lens.

The height of the image is
cm ______

Respuesta :

Answer:

3cm

Explanation:

Ver imagen Oovercomer7

The height of the image will be "3 cm".

Convex lens

According to the question,

Size of object, u₀ = 6 cm

Distance of object, u = 8 cm

Focal length, f = 2.7 cm

Distance of image, v = 4 cm

Let,

Height of image be "[tex]v_i[/tex]".

We know the formula,

Magnification, M = [tex]\frac{Distance \ of \ image}{Distance \ of \ object}[/tex]

By substituting the values, we get

                                = [tex]\frac{4}{8}[/tex]

                                = 0.5

hence,

The image's height be:

→ M = [tex]\frac{Height \ of \ image \ (v_i)}{Height \ of \ object \ (u_0)}[/tex]  

0.5 = [tex]\frac{v_i}{6}[/tex]

By applying cross-multiplication,

   [tex]v_i[/tex] = 0.5 × 6

       = 3 cm  

Thus the response above is correct.

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