If the magnification of a body of size 2cm is 3, then the size of image is

Foundation

Physics Foundation

Reflection from spherical mirror

Light

refraction from lens

Question

If the magnification of a body of size 2cm is 3, then the size of image is

one third of the size of the body.

triple the size of the body.

equal to the size of the body.

double of the size of the body.

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Magnification (m) is defined as the ratio of the height of the image (hᵢ) to the height of the object (hₒ). The formula is:

$m = \frac{h_{i}}{h_{o}}$

Given m = 3 and hₒ = 2 cm, we can solve for the image height:

$h_{i} = m \times h_{o} = 3 \times 2 = 6 cm$

Therefore, the image size (6 cm) is triple the size of the object (2 cm).

Final answer: triple the size of the body.