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The nucleus of an atom can be assumed to spheical.the radius of the nucleus of mass number a is given by 1.25 into 10to the power -13cm. radius of atom is one angstom. if the mass number is 64,then the fraction of the atomic volume that is occupied by the nucleus isA)1.0 INTO 10 TO THE POWER-3B)5.0 INTO 10 TO THE POWER-5C)1.25 INTO 10 TO THE POWER -13

DEEPANKAR TULSIANI , 15 Years ago
Grade 12
anser 1 Answers
Pratham Ashish

Last Activity: 15 Years ago

hi ,

 radius of nucleus , R = (1.25 X10 ^-13 )* A ^1/3

                              =     (1.25 X10 ^-13 )* 64 ^1/3

   volume of nucleus  V =  4/3 ¶ { (1.25 X10 ^-13 )* 64 ^1/3 } ^3

                                  = 4/3 ¶ * 1.25 X 10 ^ -37   c.m.^3
       
    volume of atom =    4/3 ¶   ( 1.0 X 10 ^-8) ^3
             
                                = 4/3   ¶    x 10 ^ -24  c.m. ^3
 
   desired fraction =  4/3 ¶ * 1.25 X 10 ^ -37    / 4/3   ¶    x 10 ^ -24  
                              =  1.25 X 10 ^-13      C )

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