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If an object is placed at twice the focal length of a convex lens, which type of image will be produced?

A.
real, upright, and of the same size
B.
virtual, inverted, and smaller
C.
real, inverted, and of the same size
D.
virtual, upright, and magnified
E.
real, inverted, and magnified

Respuesta :

Answer: real, Inverted, same Size (C)


Explanation:

Convex length has a positive focal length.  Since the image is inverted it is therefore obvious that it is real thus, inverted  and will be same in size.

Focal length is the optical distance between the center of lens and the focal point of the lens or mirror

Note: virtual images are right side up where as the real images formed are always inverted



Answer:

C) Real, inverted and of same size

Explanation:

As we know by lens formula

[tex]\frac{1}{d_0} + \frac{1}{d_i} = \frac{1}{f}[/tex]

here we know that

[tex]d_0 = 2f[/tex]

now by above equation we will have

[tex]\frac{1}{2f} + \frac{1}{d_i} = \frac{1}{f}[/tex]

now by solving above equation we will have

[tex]d_i = 2f[/tex]

so image will be real and formed at distance 2f from lens on other side

for magnification we will have

[tex]m = \frac{d_i}{d_0}[/tex]

[tex]m = 1[/tex]

so here image will have following properties

Real, inverted and of same size