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The graph of 1n (R/R0) versus 1n A (R = ...

The graph of `1n (R/R_0)` versus `1n A (R = radius` of a nucleus and `A =` its mass number) is

A

a straight line

B

a parabola

C

an ellipse

D

none of them

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The correct Answer is:
A
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A : Nuclear density is almost same for all nuclei . R: The radius (r ) of a nucleus depends only on the mass number (A) as r prop A^(1//3) .

How are the radius of nucleus r and mass number (A) related to each other?

Size of nucleus was obtained by the equation r=R_(0)A^(1//3) , Where r is the radius of nucleus of mass no A. and R_(0) is a constant whose valie is equal to 1.5xx10^(-15) metre. (Given : 1 amu = 1.66xx10^(-24)g ) What is the density of a nucleus of mass number A ?

Radius of a nucleus is given by the relation R = R_(0)A^(1//3) where R_(0) = 1.3 xx 10^(-15) m and A is mass number. For a nucleon inside a nucleus, de-Broglie wavelength is given by diameter of the nucleus. Average kinetic energy of a nucleon in the Te^(128) nucleus based on above information will be :

Radius of the nucleus of the atom with A=216 is ( R_0 =1.3fm)

The plot of the number (N) of decayed atoms versus activity (R) of a radioactive substance is

Radius (r_(n)) of electron in nth orbit versus atomic number (Z) graph is

Assertion: sum_(r=0)^n(r+1).^nC_r=(n+2)2^(n-1) , Reason: sum_(r=0)^n(r+1).^nC_rx^r=(1+x)^n+nx(1+x)^(n-1) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: sum_(r=0)^n(r+1).^nC_r=(n+2)2^(n-1) , Reason: sum_(r=0)^n(r+1).^nC_rx^r=(1+x)^n+nx(1+x)^(n-1) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: If n is an even positive integer n then sum_(r=0)^n ("^nC_r)/(r+1) = (2^(n+1)-1)/(n+1) , Reason : sum_(r=0)^n ("^nC_r)/(r+1) x^r = ((1+x)^(n+1)-1)/(n+1) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

HC VERMA ENGLISH-THE NUCLEOUS-Objective 1
  1. The mass of a neutral carbon atom in ground state is

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  2. The mass number of a nucleus is equal to

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  3. As compared to ^12C atom, ^14C atoms has

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  4. The mass number of a nucleus is equal to

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  5. The graph of 1n (R/R0) versus 1n A (R = radius of a nucleus and A = it...

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  6. Let Fpp, Fpn and Fnn denote the magnitudes of the nuclear force by a p...

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  7. Let Fpp, Fpn and Fnn denote the magnitudes of the nuclear force by a p...

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  8. Two protons are kept at a separation of 10 nm. Let Fn and Fe be the nu...

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  9. As the mass number A increases, the binding energy per nucleon in a nu...

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  10. Which of the following is a wrong description of binding energy of a n...

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  11. In one average-life,

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  12. In a radioactive decay, neither the atomic number nor the mass number ...

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  13. During a negative beta decay,

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  14. A freshly prepared radioactive source of half-life 2 h emits radiation...

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  15. The decay constant of a radioactive sample is lambda. The half-life an...

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  16. An alpha particle is bombarded on ^14N. As a result, a ^17O nucleus is...

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  17. Ten grams of ^57 Co kept in an open container beta-decays with a half-...

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  18. Free ^238 U nuclei kept in a train emit alpha particles. When the trai...

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  19. During a nuclear fission reaction,

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