Physics Nuclei

The missing particles or nuclides in the reactions? ${(p, α)}_{8}^{16} O$ and ${}_{7}^{14}{N {(?, p)}_{6}^{14} C}$ , respectively, are ( $p$ stands for proton and $α$ for alpha particle)

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Contributor-Level 10

${}_{Z}^{A}{X + {}_{1}^{1}H \to {}_{2}^{4}{H e} + {}_{8}^{16}O}$

$Z + 1 = 2 + 8 ? Z = 9 X \to F$

$A + 1 = 4 + 16 \Rightarrow A = 19$

$\Rightarrow {}_{Z}^{A}X = {}_{9}^{19}F$

${}_{7}^{14}N + {}_{Z}^{A}Y \to {}_{1}^{1}H + {}_{6}^{14}C$

$7 + Z = 1 + 6 ? Z = 0$

$14 + A = 1 + 14 ? A = 1$

$? {}_{Z}^{A}Y = {}_{0}^{1}n$

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Density of nucleus is of the order of

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Contributor-Level 10

Density of nuclei is order of 10¹⁷ kg m^-³.

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If T is the half-life of a radioactive material, then the fraction that would remain after a time $\frac{T}{2} i s$

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Contributor-Level 10

$\begin{array}{l} t = \frac{T}{2} \\ \Rightarrow N = N_{0} {(\frac{1}{2})}^{\frac{t}{T}} \end{array}$

$\Rightarrow N = N_{0} {(\frac{1}{2})}^{\frac{1}{2}} = \frac{N_{0}}{\sqrt[]{2}}$

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Two radioactive substances X and Y originally have N₁ and N₂ nuclei respectively. Half life of X is half of the life of Y. After three half lives of Y, number of nuclei of both are equal.

The ratio $\frac{N_{1}}{N_{2}}$ will be equal to:

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Contributor-Level 10

Number of half lives of Y = 3

Number of half lives of X = 6 [As half life of X is half of that of Y].

$\frac{N_{1}}{2^{6}} = \frac{N_{2}}{2^{3}} \Rightarrow \frac{N_{1}}{N_{2}} = 8$

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The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance gets reduced to 6/25% of its initial value. The value of x is___________.

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Contributor-Level 10

According to Nuclear activity, we can write

$N_{0} \overset{t_{\frac{1}{2}}}{\to} \frac{N_{0}}{2} \overset{t_{\frac{1}{2}}}{\to} \frac{N_{0}}{4} \overset{t_{\frac{1}{2}}}{\to} \frac{N_{0}}{8} \overset{t_{\frac{1}{2}}}{\to} \frac{N_{0}}{16} = (0.0625) N_{0}$

Time required = 4 * $t_{\frac{1}{2}} = 20 y r s$

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In the following unclear reaction,

D $\overset{α}{\to} D_{1} \overset{β^{-}}{\to} D_{2} \overset{α}{\to} D_{3} \overset{γ}{\to} D_{4}$

Mass number of D is 182 and atomic number is 74. Mass number and atomic number of D₄ respectively will be________

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The Q-value of a nuclear reaction and kinetic energy of the projectile particle, K_p are related as:

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Raj Pandey

Contributor-Level 9

X + p ® Y + b

$Q = K_{Y} + K_{b} - K_{P}$

⇒ $Q + K_{P} = K_{Y} + K_{b}$

$\Rightarrow Q + K_{P} > 0$

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The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance gets reduced to 6/25% of its initial value. The value of x is___________.

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Contributor-Level 10

According to Nuclear activity, we can write

Time required = 4 * $t_{\frac{1}{2}} = 20 y r s$

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New answer posted

2 months ago

In the following unclear reaction,

D $\overset{α}{\to} D_{1} \overset{β^{-}}{\to} D_{2} \overset{α}{\to} D_{3} \overset{γ}{\to} D_{4}$

Mass number of D is 182 and atomic number is 74. Mass number and atomic number of D₄ respectively will be________

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Contributor-Level 10

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A ray of light is incident at an angle of incidence $60 °$ on the glass slab of refractive index $\sqrt[]{3} .$ After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is $4 \sqrt[]{3}$ cm. The thickness of the glass slab is _______cm.

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