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Consider eight small spheres , radius = ...

Consider eight small spheres , radius = `r_(s)` arranged at the corner of the cube , they are small enough so that they are not in contact . Now place a larger sphere , radius = `r_(l)` at the centre of the cube . This sphere is just large enough so that it is in contact with the eight small sphere . Now let the radius of the large sphere shrink , but keep the small sphere in contact with it . what is the radius ratio `r_(s)//r_(l)`, when the small spheres at the cube corners come in to contact with each other .

A

`1.24`

B

`0.773`

C

`1.336`

D

`0.225`

Text Solution

Verified by Experts

The correct Answer is:
C
`((1)/sqrt(3)-1)=1.366`
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