Question

In a lens, if
$u$ - distance of the object from the lens
$v$ - distance of the image from the lens
$h_i$ - height of the image
$h$ - height of the object,

then determine the relationship between the two quantities, Quantity A and Quantity B.

• A. Quantity A is greater
• B. Quantity B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Answer 1

The correct option is C The two quantities are equal.

Magnification is the ratio of the height of the image to the height of the object. It is also defined as the ratio of the distance of the image to the distance of the object.

Lens magnification formula can be mathematically expressed as,

m = $\frac{v}{u}$ = $\frac{h_i}{h}$.

Therefore, both the quantities A and B are equal.