NEET Physics Questions: Nuclei

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What is the major problem of using nuclear energy?




No explanation available.
Each of the following question contain two statements.choose correct answer form the given below. statement-I:- Nuclei of different atoms have same size statement- I I :- $R =Ro(A)^{1/3}$




Statement I is false because nuclei of different atoms do not have the same size; their size depends on the mass number (A). Statement II is true because the radius of a nucleus is given by the formula $R = R_0(A)^{1/3}$, where $R_0$ is a constant and $A$ is the mass number. Hence, statement II is correct but does not support statement I.
In the nuclear reaction $X (\eta ,\alpha)_3^7 $ Li the atom X will be




$X (\eta ,\alpha)_3^7 Li $ $_Z^A{X}+_0{n}^1 -->_3^7{Li}+_2{He}^4$ By equating Z and A we get $_Z^A{X} -->_5^{10} {B}$
A nucleus of $_{84}^{210}{Po}$ originally at rest emits $\alpha$-particle with speed v what will be the recoil speed of the daughter nucleus




According to conservation of monentum $m_1v_1 + m_2 v_2 = 0$ $4v_1 + 206 v_2 = 0 $ $ 206 v_2 = - 4 v_2 $ $v_2 = {-4v_1 \over 206}$ Recoil speed of daughter nucleus is $4v \over 206$
It the radius of a nucleus of mass number 3 is R. then the radius of a nucleus of mass number 81 is




$R = R_0 (3)^{1/3}$ , $R^1 = R_0 (81)^{1/3}$ ${R^1\over R} =({81\over 3 })^{1/3} = {(27)} ^ {1/3} =3 $ $ \therefore R^1 = 3R $
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The nucleus of which of following Pairs of nuclei are isotones




Isotones nucler have same neutrons i.e. A-Z are equal. From the given pairs $_{34} {se}^{74},_{31}{Ca}^{71}$ has same neutrons
The control rod in a nuclear reactor is made of




Control rods in a nuclear reactor are made of materials that can absorb neutrons to control the rate of the nuclear reaction. Cadmium is a material that is highly effective at absorbing neutrons, which is why it is commonly used in control rods.
which of the following isotopes normally fissonable




Uranium-235 ( $_{92}{U}^{235}$ ) is a naturally occurring isotope of uranium that is fissionable. This means it can sustain a nuclear chain reaction, which is the principle behind nuclear reactors and atomic bombs.
which of the following statement is true




$_{92}U^{238} --->_{90}Th^{234}+ _{2}He^{4}$
A Free neutron decays into a Proton, an electron and




$n-->p+e^- + \bar \upsilon$ $P-->n+e^-+\upsilon$
It $N_o$ is the original mass of the substance of halt lift 5 years, the amount of substance left after 15 years is




${N \over no} = (1/2)^{t/T^{1/2}}$
when u-238 nucleus originally at lest decay by emitting an $\alpha$-particle having a speed u the recoil speed of the resi-dual nucleus is.




According to conservation of momentum
At a certain instant, a radioactive sample has a decay rate of 5000 dis-interation Per minute. After 5 minute the decay rate is 1250 dis-interations Per minute. Then the decay constant is (Per-min)




$N = N_oe^{-\lambda t} --> I = I_oe^{-\lambda t}$ $1250 = 5000 e^{-\lambda \times 5}$ ${1\over 4} = e^{-5 \lambda}$ $ 4 = e^{-5 \lambda }$ $ ln4 = 5 \lambda$ $$ \lambda = {1\over5 }ln4 = 0.2 ln4$$
A nucleus with Z=92 emits the following sequence $\alpha,\alpha,\beta^-,\beta^-,\alpha,\alpha,\alpha,\alpha,\beta^-,\beta^-,\alpha,\beta^+,\beta^+,\alpha$ . The Z of the resulting nucleus is




Atomic number of final nucleus = 92 -2 (no.of $\alpha$ - Particle) + 1 (No. of $\beta^-$ - 1(No.of $\beta^+$Particle) =92 - 2 $\times$8 + 1$\times$4 - 1$\times$2 =78 Particle)

It the radius of $_{13}^{27}Al$ nucleus is 3.6 fm the radius of $_{52}^{125}Te$ nucleus is nearly equal to





use formula $R= Ro (A)^{1/3}$