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Physics-

General

Easy

Question

The approximate nuclear radius is proportional to ( $A$ is the mass number and $Z$ the atomic number)

$\sqrt{A}$
$A^{1 / 3}$
$\sqrt{Z}$
$Z^{1 / 3}$

The correct answer is: $A to the power of 1 divided by 3 end exponent$

Experimentally it is found that the volume of a nucleus is directly proportional to its mass number. From this it is concluded that the density of each nucleus is uniform, it does not depend on the size of the nucleus.
It the nucleus is assumed to be a sphere of radius $R$ and its mass number is $A$ , then volume of nucleus $V equals fraction numerator 4 over denominator 3 end fraction pi R to the power of 3 end exponent.$
Thus, $fraction numerator 4 over denominator 3 end fraction pi R to the power of 3 end exponent proportional to blank A blank o r blank R to the power of 3 end exponent proportional to blank A$
Or $R blank proportional to blank A to the power of 1 divided by 3 end exponent$
$i e comma$ the radius of nucleus is directly proportional to the cube root(or $fraction numerator 1 over denominator 3 end fraction$ power) of its mass number A.
Aliter
Nuclear radius
$R equals R subscript 0 end subscript A to the power of 1 divided by 3 end exponent$
$therefore blank R proportional to blank A to the power of 1 divided by 3 end exponent$

Related Questions to study

The energy levels of the hydrogen spectrum is shown in figure. There are some transition $A comma B comma C comma D$ and $E.$ Transition $A comma B$ and $C$ respectively represent

The energy levels of the hydrogen spectrum is shown in figure. There are some transition $A comma B comma C comma D$ and $E.$ Transition $A comma B$ and $C$ respectively represent

physics-General

In prokaryotes, chromatophores are

In prokaryotes, chromatophores are

Equation of sphere passing through the points (2,0,0),(0,2,0),(0,0,2) and having least possible radius is

Equation of sphere passing through the points (2,0,0),(0,2,0),(0,0,2) and having least possible radius is

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Identify $A$ to $D$ and choose the correct combination

Identify $A$ to $D$ and choose the correct combination

Choose the correct combination of labelling for the hormonal control of female reproductive system.

Choose the correct combination of labelling for the hormonal control of female reproductive system.

The RER in the cell synthesised protein which would be later used in building the plasma membrane. But it is observed that the protein in the membrane is slightly different from the protein made in the RER. The protein was probably modified in another cell organelle.
Identify the organelle in the given diagram.

The RER in the cell synthesised protein which would be later used in building the plasma membrane. But it is observed that the protein in the membrane is slightly different from the protein made in the RER. The protein was probably modified in another cell organelle.
Identify the organelle in the given diagram.

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Go through the sectional view of a mitochondrion showing the different parts and identify the structures $A$ to $E$

Go through the sectional view of a mitochondrion showing the different parts and identify the structures $A$ to $E$

Which of the following is the correct representation of $A comma blank B$ and $C$ in the given figure of a chromosome?

Which of the following is the correct representation of $A comma blank B$ and $C$ in the given figure of a chromosome?

The following diagram shows some of the missing structures in a plant cell (A-E). Identify the structures

The following diagram shows some of the missing structures in a plant cell (A-E). Identify the structures

parallel

Correlate the given features of animal cells (I to VII) with their respective parts ( $A$ to $N$ )

I)The structure replicates during mitosis and generates the spindle
II)Major site for synthesis of lipid
III)Power house of the cell
IV)store house of digestive enzyme
V)Increase the surface are for the absorption of materials
VI)Site of glycolysis
VII)Site for active ribosomal RNA synthesis
The correct option is

Correlate the given features of animal cells (I to VII) with their respective parts ( $A$ to $N$ )

I)The structure replicates during mitosis and generates the spindle
II)Major site for synthesis of lipid
III)Power house of the cell
IV)store house of digestive enzyme
V)Increase the surface are for the absorption of materials
VI)Site of glycolysis
VII)Site for active ribosomal RNA synthesis
The correct option is

Identify $A$ to $D$ in the diagrammatic representation of internal structure of centrioles

Identify $A$ to $D$ in the diagrammatic representation of internal structure of centrioles

By eliminating $a comma b comma c$ from the Homogeneous Equations $x equals fraction numerator a over denominator b minus c end fraction comma y equals fraction numerator b over denominator c minus a end fraction comma z equals fraction numerator c over denominator a minus b end fraction$ where $a comma b comma c$ not all zero then $x y plus y z plus z x equals$

By eliminating $a comma b comma c$ from the Homogeneous Equations $x equals fraction numerator a over denominator b minus c end fraction comma y equals fraction numerator b over denominator c minus a end fraction comma z equals fraction numerator c over denominator a minus b end fraction$ where $a comma b comma c$ not all zero then $x y plus y z plus z x equals$

parallel

The electronic configuration of neon is

The electronic configuration of neon is

chemistry-General

The rank of $open square brackets table attributes columnalign right end attributes row 1 cell negative 1 end cell 1 1 row cell negative 1 end cell 1 1 2 row 1 1 cell negative 1 end cell 3 end table close square brackets$ is

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The system of equations $alpha x plus y plus z equals alpha minus 1 comma x plus alpha y plus z equals alpha minus 1 comma x plus y plus alpha z equals alpha minus 1$ has no solution, if $alpha$ is

The system of equations $alpha x plus y plus z equals alpha minus 1 comma x plus alpha y plus z equals alpha minus 1 comma x plus y plus alpha z equals alpha minus 1$ has no solution, if $alpha$ is

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