Question

If the height of the image is equal to the height of an object placed near a spherical lens, then the magnification $ m $ is

• A. less than 1
• B. greater than 1
• C. equal to 1
• D. equal to zero

Hint:

A magnification of 1 indicates that the image is the same size as the object. Magnification greater than 1 implies an enlarged image, and magnification less than 1 implies a diminished image. A negative magnification indicates an inverted image.

Answer 1

The Correct Option is C

Step 1: Recall the definition of magnification produced by a lens.
Magnification \( m \) is defined as the ratio of the height of the image (\( h_i \)) to the height of the object (\( h_o \)): \[ m = \frac{h_i}{h_o} \]
Step 2: Apply the given condition.
We are given that the height of the image is equal to the height of the object: \[ h_i = h_o \]
Step 3: Substitute the condition into the magnification formula.
\[ m = \frac{h_o}{h_o} \]
Step 4: Calculate the value of magnification.
\[ m = 1 \] Therefore, if the height of the image is equal to the height of the object, the magnification \( m \) is equal to 1.