Question

• Q.5. In 1998, a functioning replica of the 1936 Toyota Model AA sedan was made in Japan. The model is a mere 4.78 mm in length. Suppose an object measuring 12.8 cm is placed in front of a convex mirror with a focal length of 64.0 cm. If the size of the image is the same as the size of the model car, how far is the image from the mirror's surface?

Answer 1

The distance of the image from the convex mirror's surface is approximately 3.618 cm.

Step-by-step explanation:

To find the distance of the image from the convex mirror's surface, we can use the mirror equation:

1/f = 1/di + 1/do

Here, the focal length (f) is 64.0 cm. The size of the image is the same as the size of the model car which is 4.78 mm. The distance of the object (do) is 12.8 cm. Plugging in these values, we can solve for the distance of the image (di).

1/64.0 = 1/di + 1/12.8

Simplifying the equation, we get:

1/di = 1/64.0 - 1/12.8

di = 1 / (1/64.0 - 1/12.8)

Solving the equation, the distance of the image from the mirror's surface is approximately 3.618 cm.