The energy released by the fission of one uranium atom is 200 MeV. The number of fission per second required to prodice 6.4W power is
A. `2xx10^(11)`
B. `10^(11)`
C. `10^(10)`
D. `2xx10^(10)`
Correct Answer - A
(a) Let there is n number of fission per second produces a power of 6.4 W, then
`nxx200x10^(6) xx16x10^(-19) Js^(-1) =6.4Js^(-1)`
`therefore n=(6.4)/( 200xx10^(-13) xx1.6)=(4)/(2xx10^(-11))=2xx10^(11)`
Correct Answer - `(xE_(0))/(2lambdaeL_(f))`
`overset(x)(rarr)Aoverset(lambda)(rarr)B`
No. of neuleus disintegrated `=xt-x/lambda (1-e^(-lambdat))`
for `t=1/lambda`
Distegration `=x/lambda [1-1+e^(-1)]=x/(e lambda)`
Energy released `=(E_(0)x)/(e lambda)`
Energy utilized for melting `=0.5xx(E_(0)x)/(e lambda)`
Mass of ice melted...
Correct Answer - B
In a nuclear reaction the energy remains conservest
`P + ._(3)^(7)Li rarr 2(._(2)^(4)He)`
energy of proton `+ 7(5.60) = 2(4 xx 7.06)`
`rArr` energy of `= 17.28...
Correct Answer - B
(B) the fission per second `=4xx10^(20)`
So , the energy relased per second
`=4xx10^(20) xx250MeV `
`=4xx10^(20) xx250xx10^(6) xx1.6xx10^(-19) J`
therefore , energy relased in 10 h`=...
Correct Answer - A
(a) Energy relased in one fission of `""_(92)^(235)U` nucleus `=200 meV `
Mass of uranium = 1 g
we know that , 235 g of ` ""^(235)U`...
Correct Answer - D
The binding energy for `""_(1)H^(1)` is around zero and also not given in the question so we can igonor it
`Q=2(4xx7.06)-7xx(5.60)=(8xx7.06)-(7xx5.60)`
`=56.48-39.2=17.28MeV~=17.3 MeV`
Correct Answer - A
Power, `P=(nE)/(t)`
Given, `n=2xx10^(18)` fission per second
E=185MeV
Here, `P=(2xx10^(18)xx185xx10^(6)eV)/(1)`
`implies=2xx10^(18)xx185xx10^(6)xx16xx10^(-19)=59.2MW`
Correct Answer - C
235 g of u-235 contains `6.023xx10^(23)` atoms
1g u-235=`(6.023xx10^(23))/(235)atoms`
`therefore` Energy relaeased =`(3.2xx10^(-11)xx6.023xx10^(23))/(235)j`
`=8.21xx10^(10)j`
`8.21xx10^(7) kj`