Calculate the position of an object placed in front of a convex mirror having focal length of 12 cm such that an image is formed 6 cm away from the mirror

Ann_e

1 year ago

Let’s solve it using the mirror formula:

{1}/{f} = {1}/{v} + {1}/{u}

Where:
• f = focal length
• v = image distance
• u = object distance
(Sign convention: For convex mirrors, f and v are positive)

Given:
• f = +12{cm}
• v = +6 {cm}
• Find u

Step 1: Plug into the mirror formula:

{1}/{12} = {1}/{6} + {1}/{u}

Step 2: Rearranging:

{1}/{u} = {1}/{12} - {1}b{6} = {1 - 2}/{12} = {-1}/{12}

Step 3: Solve:

u = -12{cm}


But this is with the sign convention. Since the question asks for position (distance from mirror), we take the magnitude:


|u| = {12.0 {cm}}


Final Answer:

C. 12.0 cm

Nickycee

1 year ago

Omo
this explanation no clear at all

Anela

1 year ago

Jamb is really obsessed with 🪞 mirrors and that.
Shows up in virtually every yr

Wawaaaaaaaaaaaqa

2 years ago

the focal point and image distance is always negative

Gddhhcv

2 years ago

My school the correct answer is A ✅
But I'm confused 🤔 according to my own solving I got 3.0 not 4.0

paiseols

4 years ago

A is the answer

muyiwa2018

7 years ago

The focal point of a convex mirror is not negative