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Structure Of Atom

Question
CBSEENCH11005226

If the diameter of a carbon atom is 0.15 nm, calculate the number of carbon atoms which can be placed side by side in a straight line across length of scale of length 20 cm long.

Solution

Diameter of carbon atom  = 0.15 nm
   space space equals space 0.15 space cross times space 10 to the power of negative 9 end exponent straight m space equals space 1.5 space cross times space 10 to the power of negative 10 end exponent straight m
Length along which carbon atoms are to be placed
                            = 20 cm
                          space space space equals space 20 space cross times space 10 to the power of negative 2 end exponent straight m space equals space 2 space cross times space 10 to the power of negative 1 end exponent straight m
Hence, number of carbon atoms which can be placed along the length
                                 space space equals space fraction numerator 2 space cross times space 10 to the power of negative 1 end exponent straight m over denominator 1.5 space cross times space 10 to the power of negative 10 end exponent straight m end fraction space equals space 1.33 space cross times space 10 to the power of 9