True or False Statements :
In the nuclear reaction `X^(200) rarr A ^(110)+B^(90)`. If the binding energy per nucleon for X, A and B is 7.4 MeV, 8.2.MeV and 8.2 MeV respectively, the energy released is 160 MeV.
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
Since B.E./Nucleon of Reactants is high energy will be absorbed,
Net energy absorbed =(Bond energy of Reactant nucleus )-(Total bond energy of Product Nuclei)
` =(40 xx...
Correct Answer - `[Delta E =2.28 xx 10^(-12)J =14.25 MeV ]`
`DeltaE=Delta m xx931.5 Me rArrDeltam=SigmaM_(R)-SigmaM_(P) rArr Deltam=2(2.020)-(3.0160+1.0087)`
`rArrDeltaE=Deltamxx931.5=14.25 MeV`
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) 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 - 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`
Energy released in the nuclear fusion is `Q = Deltamc^(2) = Deltam(931) MeV` (where `Deltam` is in amu)
`Q = (2 xx 2.0141 - 4.0026) xx 931 MeV = 23.834...