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Gnom [1K]
3 years ago
10

A “stick” object of height 10 cm is standing in front of a point X–ray source at a distance of 50 cm from the source. The detect

or is 2 m away from the source. What is the height of the image?
Mathematics
1 answer:
blagie [28]3 years ago
6 0

Answer:

40 cm.

Step-by-step explanation:

Given,

height of the object = 10 cm

Distance of the object from the X-ray= 50 cm

Distance of detector from the source = 2 m = 200 cm

Height of the image, h = ?

Now,

\tan \theta = \frac{P}{B}

\tan \theta = \frac{10}{50}

\tan \theta = \frac{1}{5}

Again applying

\tan \theta = \frac{P}{B}

\frac{1}{5} = \frac{h}{200}

h = 40 cm

Hence, height of the image is equal to 40 cm.

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