The magnification (m) of a mirror is given by the ratio of the image distance (v) to the object distance (u). For a convex mirror, this relationship is given by the formula:

m = -v/u

Given that the object is initially placed 30 cm from the mirror and the magnification is 1/2, we can use the formula to find the image distance:

1/2 = -v/(-30)

Solving for v gives v = -15 cm. This is the image distance for the initial setup.

Now, we want to find the new object distance (u') that will give a magnification of 1/3. We can use the same formula, but this time we solve for u':

1/3 = -(-15)/u'

Solving for u' gives u' = -45 cm.

Therefore, to get a magnification of 1/3, the object should be placed 45 cm from the convex mirror.

Question

The magnification (m) of a mirror is given by the ratio of the image distance (v) to the object distance (u). For a convex mirror, this relationship is given by the formula:

m = -v/u

Given that the object is initially placed 30 cm from the mirror and the magnification is 1/2, we can use the formula to find the image distance:

1/2 = -v/(-30)

Solving for v gives v = -15 cm. This is the image distance for the initial setup.

Now, we want to find the new object distance (u') that will give a magnification of 1/3. We can use the same formula, but this time we solve for u':

1/3 = -(-15)/u'

Solving for u' gives u' = -45 cm.

Therefore, to get a magnification of 1/3, the object should be placed 45 cm from the convex mirror.

Knowee AI · Accepted Answer

The magnification (m) of a mirror is given by the ratio of the image distance (v) to the object distance (u). For a convex mirror, this relationship is given by the formula:

m = -v/u

Given that the object is initially placed 30 cm from the mirror and the magnification is 1/2, we can use the formula to find the image distance:

1/2 = -v/(-30)

Solving for v gives v = -15 cm. This is the image distance for the initial setup.

Now, we want to find the new object distance (u') that will give a magnification of 1/3. We can use the same formula, but this time we solve for u':

1/3 = -(-15)/u'

Solving for u' gives u' = -45 cm.

Therefore, to get a magnification of 1/3, the object should be placed 45 cm from the convex mirror.

An object is placed at a distance of 30 cm30 cm from a convex mirror. The magnification produced is 1212. What should be the position of the object to get the magnification of 1313?

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