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leah12
Posts: 75
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6/12/2012 11:56:00 AM
Posted: 4 years ago
hi guys. i know this isnt really a debate topc but i really need help!! please lend some assistance soon. i have treid everything and have no idea. please help!!

A bacterium has a length of 5.5 x 10 ^-6 m but
seen through a powerful microscope appears
to be 1.2 10 ^-3 m. What is the magnification
of the microscope?

p.s. 10^-3 or 10 ^-6 means 10 to the power of negative 3 or 6. I cant get the power symbols.
Merry Christmas!
Ren
Posts: 7,102
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6/12/2012 12:14:53 PM
Posted: 4 years ago
At 6/12/2012 11:56:00 AM, leah12 wrote:
hi guys. i know this isnt really a debate topc but i really need help!! please lend some assistance soon. i have treid everything and have no idea. please help!!

A bacterium has a length of 5.5 x 10 ^-6 m but
seen through a powerful microscope appears
to be 1.2 10 ^-3 m. What is the magnification
of the microscope?

p.s. 10^-3 or 10 ^-6 means 10 to the power of negative 3 or 6. I cant get the power symbols.

Well, given it said powerful microscope, I can't help but assume they mean electron microscope, which isn't locked to specific magnification settings (10x, 40x, 400x). So, it isn't going to be an even, round number. Therefore, just apply algebra:

0.0055x = 1.2

1.2/0.0055 = x

x = 218 times magnification.
RoyLatham
Posts: 4,488
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6/25/2012 4:04:39 PM
Posted: 4 years ago
It would be apparent size / actual size = 1.2 x 10^-3 / 5.5 x 10^-6 = 218. Remember that 1 / 10^-6 = 10^6.

Electron microscopes have magnifications up to 10,000,000 so it's likely an optical microscope. Combinations of eyepiece and objective lens can produce odd numbers. There are also zoom microscopes.