Question

If an object was \[1mm\] across, how big would it be if it was magnified $ 10 $ times?

Answer 1

Hint: In the given question, we are given an object that is \[1mm\] across. We are asked to find out how big it would appear if it was magnified $ 10 $ times. Magnification is the process of enlarging the apparent size of something, be it an object or an organism. When magnification is less than $ 1 $ , it refers to a reduction in size and when the magnification is greater than $ 1 $ , it refers to visual enlargement of an object.

Complete step by step solution:
In the question given to us, we are asked to find the apparent size of the object that is \[1mm\] across when it is magnified $ 10 $ times.
So, the original size of the object $ = 10\;mm $
Apparent size of the object after being magnified $ 10 $ times $ = \left( {10\;mm} \right) \times 10 $
 $ \Rightarrow 100\;mm $
So, the size of the object after being magnified $ 10 $ times is $ 100\;mm $ .
We know that $ 10mm = 1cm $ .
So, Apparent size of the object after being magnified $ 10 $ times $ = 10\;cm $
Also, we know that $ 1m = 100\;cm $ .
Hence, Apparent size of the object after being magnified $ 10 $ times $ = 0.1\;m $
So, the correct answer is “ $ = 0.1\;m $ ”.

Note: We should always report the final answer of such calculative questions involving unit conversion in the standard unit. We know that the standard unit of length is meters and thus the final answer should be given in meters only. Care should be taken while doing calculations as well as when doing the unit conversion.