Physics Nuclei Overview

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

A radioactive sample decays with a constant of (1/3)logₑ2 s⁻¹. If initially there are 200 nuclei present, find the number of nuclei decayed during the first 9 seconds.

4 Views|Posted a year ago

Asked by Vishal Baghel

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Answered by

Vishal Baghel | Contributor-Level 10

a year ago

t? , half life = (log?2)/λ = 3 s
Initially 200 nuclei were there
After 3 half-lives, 9 seconds,
No. of nuclei = (1/2³) (200) = 25
Therefore, the number of nuclei that decayed = 200 – 25 = 175

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

A radioactive β –emission. A detector records n β –particles in 2s and by next 2s (accumulatively) it records 1.1 n β –particle. Number of β –particles recorded by detector after a long time, is

1 Views|Posted a year ago

Asked by Vishal Baghel

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Answered by

Vishal Baghel | Contributor-Level 10

a year ago

N = [n + n/10 + n/100 + .]
= n/ (1 - 1/10) = 10/9

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

The decay of a proton to neutron is :

3 Views|Posted a year ago

Asked by Vishal Baghel

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Answered by

Vishal Baghel | Contributor-Level 10

a year ago

Always possible as it is associated only with β? decay

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

You are given that Mass of ?Li = 7.0160u, Mass of ?He = 4.0026u and ¹H = 1.0079u. When 20 g of ?Li is converted into ?He by proton capture, the energy liberated, (in kWh), is [Mass of nucleon = 1GeV/c²]

56 Views|Posted a year ago

Asked by Vishal Baghel

S

Answered by

Vishal Baghel | Contributor-Level 10

a year ago

Kindly consider the following figure

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

The nuclear activity of a radioactive element becomes (1/8)ᵗʰ of its initial value in 30 years. The half –life of radioactive element is __________ years.

5 Views|Posted a year ago

Asked by Alok Kumar Singh

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Answered by

Alok Kumar Singh | Contributor-Level 10

a year ago

A = A? (1/2)?
A/A? = 1/8 = (1/2)³ ⇒ n = 3
t = n T½
30 = 3 T½
T½ = 10 years

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turns disintegrates to some other stable nucleus C. Plot of a graph showing the variation of number of atoms of nucleus B vesus time is:

(Assume that a t = 0, there are no B atoms in the sample)

4 Views|Posted a year ago

Asked by Raj Pandey

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Answered by

Raj Pandey | Contributor-Level 9

a year ago

$A \to_{}^{λ_{A}} B \to_{}^{λ_{B}} C$

Amount of B,

$N_{B} = \frac{λ_{A} N_{A_{0}}}{λ_{B} - λ_{A}} [e^{- λ_{A} t} - e^{- λ_{B} t}]$

where K = $\frac{λ_{A}}{λ_{B} - λ_{A}} N_{A_{0}}$

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

There are 10¹⁰ radioactive nuclei in a given radioactive element, its half-time is 1 minute. How many nuclei will remain after 30 seconds?

$(\sqrt[]{2} = 1.414)$

10 Views|Posted a year ago

Asked by Vishal Baghel

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Answered by

Vishal Baghel | Contributor-Level 10

a year ago

$\frac{N}{N_{0}} = {(\frac{1}{2})}^{t |_{t_{1} | 2}}$

$\Rightarrow N = 1 0^{10} \times {(\frac{1}{2})}^{\frac{1}{2}} = \frac{1 0^{10}}{\sqrt[]{2}} ? 7 \times 1 0^{9}$

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

Read the following statements:

(A) Volume of the nucleus is directly proportional to the mass number.

(B) Volume of the nucleus is independent of mass number.

(C) Density of the nucleus is directly proportional to the mass number.

(D) Density of nucleus is directly proportional to the cube root of the mass number.

(E) Density of the nucleus is independent of the mass number.

Choose the correct option from the following options.

3 Views|Posted a year ago

Asked by Payal Gupta

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Answered by

Payal Gupta | Contributor-Level 10

a year ago

Radius, R = R₀A^1/3

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

The half life period of a radioactive substance is 60 days. The time taken for $\frac{7}{8} t h$  of its original mass to disintegrate will be:

2 Views|Posted a year ago

Asked by Vishal Baghel

S

Answered by

Vishal Baghel | Contributor-Level 10

a year ago

$t_{\frac{1}{2}} = 60 d a y s$

at t = 0 $\frac{m}{m_{0}} \to$ 0

$a t t \to \frac{m}{m_{0}} (1 - \frac{7}{8})$

= $\frac{m}{8 m_{0}} \to \frac{7}{8} (\frac{m}{m_{0}})$

$\Rightarrow \frac{1}{2^{3}} = \frac{1}{2^{(\frac{t}{60})}} \Rightarrow \frac{t}{60} = 3$

t = 180 days

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New answer posted•a year ago

Physics Nuclei Overview Class 12th

A sample contains 10^-2kg each of two substances A and B with half lives 4s and 8s respectively. The ration of their atomic weights is 1 : 2. The ratio of the amounts of A and B after16s is $\frac{x}{100}$ . The value of x is ______.

6 Views|Posted a year ago

Asked by Payal Gupta

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Answered by

Payal Gupta | Contributor-Level 10

a year ago

$f o r A, t_{\frac{1}{2}} = 4 s e c$

$= m A_{0} e^{-} \frac{0.693}{4} \times 16$

$m_{A} = m_{A 0} e^{- 4 \times 0.693}$ - (1)

for B,

for B, $t_{\frac{1}{2}} = 8 s e c$

$m_{B} = m_{B_{0}} e^{- 2 \times 0.693}$ - (2)

$\frac{m_{A}}{m_{B}} = \frac{m_{A O}}{m_{B O}} \frac{e^{- 4} \times 0.693}{e^{- 2} \times 0.693}$

$\frac{m_{A}}{m_{B}} = \frac{25}{100} = \frac{x}{100} x = 25$

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