The question is asking for the distance between the object and the image formed by a convex lens with a focal length of 20 cm, given that the size of the image is the same as the object.

This means that the image formed is a real image and is inverted.

The lens formula is given by 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.

Since the image is the same size as the object, the magnification m = -v/u = -1.

This implies that v = -u.

Substituting v = -u into the lens formula gives 1/f = -2/u.

Solving for u gives u = -2f.

Given that the focal length f is 20 cm, the object distance u is -2*20 cm = -40 cm.

However, since we are looking for the distance between the object and the image, we take the absolute value, which is 40 cm.

So, the correct answer is (c) 40 cm.

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The question is asking for the distance between the object and the image formed by a convex lens with a focal length of 20 cm, given that the size of the image is the same as the object.

This means that the image formed is a real image and is inverted.

The lens formula is given by 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.

Since the image is the same size as the object, the magnification m = -v/u = -1.

This implies that v = -u.

Substituting v = -u into the lens formula gives 1/f = -2/u.

Solving for u gives u = -2f.

Given that the focal length f is 20 cm, the object distance u is -2*20 cm = -40 cm.

However, since we are looking for the distance between the object and the image, we take the absolute value, which is 40 cm.

So, the correct answer is (c) 40 cm.

Knowee AI · Accepted Answer

The question is asking for the distance between the object and the image formed by a convex lens with a focal length of 20 cm, given that the size of the image is the same as the object.

This means that the image formed is a real image and is inverted.

The lens formula is given by 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.

Since the image is the same size as the object, the magnification m = -v/u = -1.

This implies that v = -u.

Substituting v = -u into the lens formula gives 1/f = -2/u.

Solving for u gives u = -2f.

Given that the focal length f is 20 cm, the object distance u is -2*20 cm = -40 cm.

However, since we are looking for the distance between the object and the image, we take the absolute value, which is 40 cm.

So, the correct answer is (c) 40 cm.

Same size of image is formed by a convex lens of focal length 20 cm . The distance betweenthe object and image is(a) 0 cm (b) 20 cm(c) 40 cm (d) 80 cm1

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