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A 4.00-cm tall light bulb is placed a distance of 45.7 cm from a double convex l

ID: 1433739 • Letter: A

Question

A 4.00-cm tall light bulb is placed a distance of 45.7 cm from a double convex lens having a focal length of 15.2 cm. Determine the image distance and the image size. 7. A 4.00-cm tall light bulb is placed a distance of 8.30 cm from a double convex lens having a focal length of 15.2 cm. (NOTE: this is the same object and the same lens as in #6, only this time the object is placed closer to the lens.) Determine the image distance and the image size.8. A 4.00-cm tall light bulb is placed a distance of 35.5 cm from a diverging lens having a focal length of -12.2 cm. Determine the image distance and the image size.9. Determine the image distance and image height for a 5-cm tall object placed 20.0 cm from a double convex lens having a focal length of 15.0 cm. 10. The focal point is located 20.0 cm from a double concave lens. An object is placed 12 cm from the lens. Determine the image distance.

Explanation / Answer

here,

The focal length of a converging lens is positive, but for a diverging lens, it is negative

the object distance , do = 0.457 m

focal length , f = 0.152 m

let the object distance be do

using the lens formula

1/f = 1/do + 1/di

di = 0.228 m

m = - di/do = hi/ho

- 0.228 * 0.04 /0.457 = hi

hi = - 1.99 cm

the image distance and image size are 22.8 cm and -1.99 cm

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the object distance , do = 8.3 cm m

focal length , f = 15.2 m

let the object distance be do

using the lens formula

1/f = 1/do + 1/di

di = -18.28 cm

m = - di/do = hi/ho

18.28 * 4 / 8.3 = hi

hi = 8.81 cm

the image distance and image size are - 18.28 cm and 8.81 cm

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the object distance , do = 35.5 cm

focal length , f = - 12.2 m

let the object distance be do

using the lens formula

1/f = 1/do + 1/di

di = - 9.08 cm

m = - di/do = hi/ho

9.08 * 4 / 35.5 = hi

hi = 1.02 cm

the image distance and image size are - 9.08 cm and 1.02 cm

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the object distance , do = 20 cm

focal length , f = 15 cm

let the object distance be do

using the lens formula

1/f = 1/do + 1/di

di = 60 cm

m = - di/do = hi/ho

- 60 * 5 / 20 = hi

hi = -15 cm

the image distance and image size are 60 cm and -15 cm

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