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Units And Measurement

Question
CBSEENPH11016759

What is the order of the magnitude of the ratio of radius of the earth to the height of a building 5m high?

Solution

We have,
Radius of earth = 6.4 space straight x space 10 to the power of 6 space end exponent straight m 
Height of building = 5 m
Now, 
fraction numerator Radius space of space the space earth over denominator Height space of space building space end fraction equals fraction numerator 6.4 space straight x space 10 to the power of 6 straight m over denominator 5 straight m end fraction
                          space space space space equals space 1.28 space straight x space 10 to the power of 6 almost equal to 10 to the power of 6
So, ratio is of the order of magnitude = 6