Question

In: Physics

Which of the following statements are true concerning sign conventions for image formation? Check all that...


Which of the following statements are true concerning sign conventions for image formation?

Check all that apply.

a.A converging lens has a negative focal length; a diverging lens has a positive focal length.
b.For an upright image, the magnification is positive; for an inverted image, the magnification is negative.
c.A virtual image has a positive image distance; a real image has a negative image distance.
d.When the center of curvature of a spherical mirror is on the same side as the reflected light, the radius of curvature is positive; otherwise, it is negative.
e.When the object is on the same side of the reflecting or refracting surface as the incoming light, the object distance is positive; otherwise, it is negative.

Solutions

Expert Solution

From the sign rules, for the radius of curvature of a spherical surface, when the center of curvature is on the same side as the outgoing light, the radius of curvature is positive; otherwise, it is negative.

When the center of curvature of a spherical mirror is on the same side as the reflected light, the radius of curvature is positive; otherwise, it is negative.


Explanation | Common mistakes | Hint for next step

The sign rule for the radius of curvature in the case of reflection at a spherical surface is stated that when the center of curvature of a spherical mirror is on the same side as the reflected light, the radius of curvature is positive; otherwise, it is negative.

Step 3 of 4

From the sign rules for the object distance, when the object is on the same side of the reflecting or refracting surface as the incoming light, the object distance is positive. Otherwise it is negative.

Hence, the given option that when the object is on the same side of the reflecting or refracting surface as the incoming light, the object distance is positive; otherwise, it is negative is correct.

When the object is on the same side of the reflecting or refracting surface as the incoming light, the object distance is positive; otherwise, it is negative.


Explanation | Common mistakes

The sign rule for the object distance is defined as when the object is on the same side of the reflecting or refracting surface as the incoming light, the object distance is positive; otherwise, it is negative.

Step 4 of 4

As per the sign rule, for an upright image the magnification is positive; for an inverted image, the magnification is negative.

Hence, the given option that for an upright image the magnification is positive; for an inverted image, the magnification is negative is correct.

For an upright image, the magnification is positive; for an inverted image, the magnification is negative.


Explanation

The magnification can be stated as the ratio of the image size to objects height.

When the center of curvature of a spherical mirror is on the same side as the reflected light, the radius of curvature is positive; otherwise, it is negative.

When the object is on the same side of the reflecting or refracting surface as the incoming light, the object distance is positive; otherwise, it is negative.

For an upright image, the magnification is positive; for an inverted image, the magnification is negative.

genius_generous answered 1 year ago
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