To find the magnification of an object placed at a distance of 15cm from a convex mirror with a focal length of 30cm, we can use the formula for magnification:

Magnification (m) = - (image distance / object distance)

First, we need to determine the image distance. Since the object is placed in front of a convex mirror, the image formed will be virtual and located on the same side as the object. The image distance can be calculated using the mirror formula:

1/f = 1/v - 1/u

Where:
f = focal length of the mirror
v = image distance
u = object distance

Plugging in the values, we have:

1/30 = 1/v - 1/15

Simplifying the equation, we get:

1/v = 1/30 + 1/15

1/v = (2 + 1)/30

1/v = 3/30

1/v = 1/10

v = 10cm

Now that we have the image distance, we can calculate the magnification:

m = - (10 / 15)

m = - 0.67

Therefore, the magnification of the object is approximately -0.67.

Question

To find the magnification of an object placed at a distance of 15cm from a convex mirror with a focal length of 30cm, we can use the formula for magnification:

Magnification (m) = - (image distance / object distance)

First, we need to determine the image distance. Since the object is placed in front of a convex mirror, the image formed will be virtual and located on the same side as the object. The image distance can be calculated using the mirror formula:

1/f = 1/v - 1/u

Where:
f = focal length of the mirror
v = image distance
u = object distance

Plugging in the values, we have:

1/30 = 1/v - 1/15

Simplifying the equation, we get:

1/v = 1/30 + 1/15

1/v = (2 + 1)/30

1/v = 3/30

1/v = 1/10

v = 10cm

Now that we have the image distance, we can calculate the magnification:

m = - (10 / 15)

m = - 0.67

Therefore, the magnification of the object is approximately -0.67.

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