An object is placed 35 cm away from a convex mirror with a focal length of magnitude 15 cm. What is

Explanation

Step 1: Identify given values and what to find
Given: u = 35 cm, f = -15 cm (negative for convex mirror)
Find: Image position v

Step 2: Write mirror formula
Formula: 1/f = 1/v + 1/u

Step 3: Rearrange and solve for v
1/v = 1/f – 1/u
1/v = 1/(-15) – 1/35
1/v = -1/15 – 1/35 = -7/105 – 3/105 = -10/105

Step 4: Calculate v
v = -105/10 = -10.5 cm
The negative sign indicates image is behind the mirror (virtual)

Step 5: The answer is 10.5 cm behind the mirror