Addison studies a tarantula that is 30 mm long. Suppose she uses a microscope to magnify the spider by [tex]4 \times 10^2[/tex] power. How long will the spider appear to be?
Answer (3)
The microscope magnifies things by 4 * 10 to the second power, which is 4 * 100. It means it magnifies things 400 times.
If the spider's lenght is 30 mm normally, under such microscope he will appear to be 30 * 400 = 12000 mm (which is 1200 cm or 12 m).
The magnification factor is given as 4 ( 10 ) 2 = 400 . Therefore multiplying this by the spider's actual length will give its apparent length. ( 400 ) ( 30 mm ) = 12 , 000 This gives an apparent length of 12,000 mm. Since 1,000 mm = 1 m, this apparent length is also equivalent to 12 m.
The tarantula, which is 30 mm long, will appear to be 12,000 mm or 12 meters long after being magnified by a factor of 400. This calculation was done by multiplying the actual length by the magnification factor. Therefore, the spider appears much larger under the microscope.
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