Question

× 108 atoms of carbon are arranged side by side. Calculate the radius of carbon atoms if the length of this arrangement is 3.0 cm.

Solution

Correct option is

0.075 nm

 

Total length = 3.0 cm. 

Total number of atoms along the length = 2 × 108  

D i a m e t e r space o f space e a c h space a t o m s space equals fraction numerator 3.0 c m over denominator 2 cross times 10 to the power of 8 end fraction equals 1.5 cross times 10 to the power of negative 8 end exponent space c m
R a d i u s space o f space t h e space a t o m s space equals space fraction numerator 1.5 cross times 10 to the power of negative 8 end exponent space c m over denominator 2 end fraction
space space space space space space space space space space space space space space space space space space space space space

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SIMILAR QUESTIONS

Q1

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

Q2

The diameter of zinc atom is 2.6 Å. Calculate number of atoms present in a length of 1.6 cm if the atoms are arranged side by side lengthwise.