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Scienists are working hard to develop inclear fusion reactor Nocies of heavy hydrogen, `_(1)^(2)H` , known as deuteron and denoted by `D`, can be thought of as a candidate for fusion rector . The `D-D` reaction is `_(1)^(2) H + _(1)^(2) H rarr _(2)^(1) He + n+ energy` in the core of fasion reactor a gas of heavy hydrogen of `_(1)^(2) H` nucles and electrons is know as plasma . The nuclei move randonity in the reactor to take place Unally , the temperature in the reactor core are too ligh and to natrual will can be used to confine the to pleama for a time l_(0) before the particles by away from the case if `n` is the denasity (number volume ) of determines , the product` nt_(0) `is called Lavson number in one of the criteria , a reactor is termed successful if Lawson number is greater then `5 xx 10^(14) s//cm^(2)`
it may be helpfull to use the following botczmann constant
`lambda = 8.6 xx 10^(-5)eV//k, (e^(2))/(4 pi s_(0)) = 1.44 xx 10^(-9) eVm`
in the cure of nucleus fusion reactor , the gas become plasma because of

A

strong nucleus force acting between the deuterons

B

coulomb force acting between the deuterons

C

coulmb force acting between deuteron - ecectron pairs

D

the hight temperature maintained inside the reactor

Text Solution

Verified by Experts

The correct Answer is:
D

The collection of `_(1)^(2) H` nuclei and is known as plasma which is formed due to high temperature inside the reactor core
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Scienists are working hard to develop inclear fusion reactor Nocies of heavy hydrogen, _(1)^(2)H , known as deuteron and denoted by D , can be thought of as a candidate for fusion rector . The D-D reaction is _(1)^(2) H + _(1)^(2) H rarr _(2)^(1) He + n+ energy in the core of fasion reactor a gas of heavy hydrogen of _(1)^(2) H nucles and electrons is know as plasma . The nuclei move randonity in the reactor to take place Unally , the temperature in the reactor core are too ligh and to natrual will can be used to confine the to pleama for a time l_(0) before the particles by away from the case if n is the denasity (number volume ) of determines , the product nt_(0) is called Lavson number in one of the criteria , a reactor is termed successful if Lawson number is greater then 5 xx 10^(14) s//cm^(2) it may be helpfull to use the following botczmann constant lambda = 8.6 xx 10^(-5)eV//k, (e^(2))/(4 pi s_(0)) = 1.44 xx 10^(-9) eVm Assume that two deuteron nuclei in the core of fasion reactor at temperacture energy T are moving toward each other, each with kinectic energy 1.5 kT , whenn the seperation between them is large enogh to leglect coulomb potential energy . Also neglate any interaction from other particle in the core . The minimum temperature T required for them to reach a separation of 4 xx 10^(-15) m is in the range

Scienists are working hard to develop inclear fusion reactor Nocies of heavy hydrogen, _(1)^(2)H , known as deuteron and denoted by D , can be thought of as a candidate for fusion rector . The D-D reaction is _(1)^(2) H + _(1)^(2) H rarr _(2)^(1) He + n+ energy in the core of fasion reactor a gas of heavy hydrogen of _(1)^(2) H nucles and electrons is know as plasma . The nuclei move randonity in the reactor to take place Unally , the temperature in the reactor core are too ligh and to natrual will can be used to confine the to pleama for a time l_(0) before the particles by away from the case if n is the denasity (number volume ) of determines , the product nt_(0) is called Lavson number in one of the criteria , a reactor is termed successful if Lawson number is greater then 5 xx 10^(14) s//cm^(2) it may be helpfull to use the following botczmann constant lambda = 8.6 xx 10^(-5)eV//k, (e^(2))/(4 pi s_(0)) = 1.44 xx 10^(-9) eVm Result of calulations for fopur different desine of a fasion reactor using D-D reaction are given below which of these is most promising based on Lawson crierion ?

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