An object is 16 cm away from a diverging meniscus lens of focal length 20 cm. Find the position and

Step 1: Identify given values and what to find
Given: u = 16 cm, f = -20 cm (negative for diverging lens)
Find: Image position v and nature

Step 2: Write lens formula
Formula: 1/f = 1/v – 1/u

Step 3: Rearrange and solve for v
1/v = 1/f + 1/u
1/v = 1/(-20) + 1/16
1/v = -4/80 + 5/80 = 1/80

Step 4: Calculate v
Wait, let me recalculate:
1/v = 1/(-20) + 1/(-16) = -1/20 – 1/16
1/v = -4/80 – 5/80 = -9/80
v = -80/9 = -8.89 cm
The negative sign indicates virtual image

Step 5: The answer is 8.89 cm, virtual