-->

Structure Of Atom

Question
CBSEENCH11005371

 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
                 = 0.15 x 10-9 m = 1.5 x 10-10 m
Length along which carbon atoms are to be placed
                           = 20 cm
                           = 20 x 10-2m = 2 x 10-1 m
Hence, number of carbon atoms which can be placed along the length
                             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