Two nuclei have mass numbers in the rati...

Two nuclei have mass numbers in the ratio 8 : 125. Calculate the ratio of their nuclear radii.

Text Solution

Verified by Experts

Formula `R=R_(0) (A) ^(1//3)`
`2:5`
Detailed Answer :
We know that `R=R_(0) (A)^(1//3)`
`rArr (R_1)/( R_2) = ((A_1)/( A_2))^(1//3)`
`rArr (R_1)/( R_2) = ((8)/( 125))^(1//3) = (2)/(3)`

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A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2:1. The ratio of their nuclear sizes will be :

`1 : 3^(1//2)`

`3^(1//2):1`

`1:2^(1//3)`

`2^(1//3):1`

The most stable nuclei have mass number :

less than 50

about 56

about 180

greater than 180.

The A.M and G.M of two numbers are in the ratio 3: 2, then the ratio of the numbers is

`(7-3 sqrt(5)): 2`

`(7+3 sqrt(5)): 2`

`2:(7-3 sqrt(5))`

`2:(7+3 sqrt(5))`