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An object is held 0.3 cm away from a lens.The lens has a focal length of 46.9cm.

ID: 1674870 • Letter: A

Question

An object is held 0.3 cm away from a lens.The lens has a focal length of 46.9cm.

a.) Determine the image distance.
1 cm

b.) Determine the magnification.
2

c.) If the object is 1.8 cm long,determine the image height.
3 cm

d.) Which of the followingare true about the image? Choose all that apply. 4 The image is inverted.The image is upright.The image is virtual.The image is real.

e.) Which of the followingare true about the lens? Choose all that apply. 5 The lens is convex. The lens isconverging. The lens is diverging.The lens is concave. 4 The image is inverted.The image is upright.The image is virtual.The image is real. 4 The image is inverted.The image is upright.The image is virtual.The image is real. 4 5

Explanation / Answer

   focallength   f   =   46.9cm    objectdistance   u   =   -0.3 cm   ( -ve sign due to sign convention)    imagedistance   =   v    a.   1/f   =   1/v   -   1/u          1/46.9   =   1/v   -   1/(-0.3)          v   =   46.9* 0.3 / (0.3 - 46.9)                =   - 0.302   cm      (-ve sign indicates that the image is formed on same side i.e. tothe left of lens)    b.   Magnification   m   =   - v/ u                                        =   -(-0.302) / ( -0.30)                                        =   -1.007    c.   m   =   hi/ ho          heightofimage      hi   =   1.007* 1.8                                           =   1.813   cm          heightofimage      hi   =   1.007* 1.8                                           =   1.813   cm    d.   The image is upright          Theimage is virtual    e.   Lens in convex          Lens isconverging.
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