Match List ‐ I (Experiment performed) with List ‐ II (Phenomena discovered/associated)and select the correct option from the options given below the lists List-I List-II ( a ) Davisson and Germer experiment i Wave nature of electrons b Millikan's oil drop experiment ii Charge of an electron c Rutherford experiment iii Quantisation of energy levels d Franck-Hertz experiment ( iv ) Existence of the nucleus

( a ) ‐ ( i ) , ( b ) ‐ ( ii ) , ( c ) ‐ ( iv ) , ( d ) ‐ ( iii )

( a ) ‐ ( iii ) , ( b ) ‐ ( iv ) , ( c ) ‐ ( i ) , ( d ) ‐ ( ii )

( a ) ‐ ( iv ) , ( b ) ‐ ( iii ) , ( c ) ‐ ( ii ) , ( d ) ‐ ( i )

( a ) ‐ ( i ) , ( b ) ‐ ( ii ) , ( c ) ‐ ( iii ) , ( d ) ‐ ( iv )

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The distance of closest approach of an $α$ -particle fired towards a nucleus with momentum $p$ , is $r$ . What will the distance of closest approach when the momentum of $α$ -particle is $2 p$ ?

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Important Questions on Atoms

MEDIUM

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

A beam of electrons of energy E scatters from a target having atomic spacing of

1 Å

. The first maximum intensity occurs at

θ = 60 ° .

Then

E (in eV)

is........
(Planck's constant

h = 6.64 \times 10^{- 34} J s, 1 eV = 1.6 \times 10^{- 19} J,

electron mass

m = 9.1 \times 10^{- 31} kg

)

MEDIUM

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

In 1911, the physical Ernest Rutherford discovered that atoms have a tiny, dense nucleus by shooting positively charged particles at a very thin gold foil. A key physical property which led Rutherford to use gold was that it was

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

Match List $‐ I$ (Experiment performed) with List $‐ II$ (Phenomena discovered/associated)and select the correct option from the options given below the lists

	List-I		List-II
$(a)$	Davisson and Germer experiment	$(i)$	Wave nature of electrons
$(b)$	Millikan's oil drop experiment	$(ii)$	Charge of an electron
$(c)$	Rutherford experiment	$(iii)$	Quantisation of energy levels
$(d)$	Franck-Hertz experiment	$(iv)$	Existence of the nucleus

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

An alpha particle accelerated through

V

volts is fired towards a nucleus. It distance of closest approach is

r .

If a proton accelerated through the same potential is fired towards the same nucleus, its distance of closest approach will be

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

Particle used in the Rutherford's scattering experiment to deduce the structure of atoms

HARD

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

A proton of mass

m

and charge

e

is projected from a very large distance towards an

α

-particle with velocity

v .

Initially

α

-particle is at rest, but it is free to move. If gravity is neglected, then the minimum separation along the straight line of their motion will be

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

The number of completely filled shells for the element

_{16} S^{32}

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

Rutherford's experiments on scattering of

α

-particles proved that:

MEDIUM

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

In the Rutherford scattering, the number of scattered alpha particles per unit area striking a fluorescent screen at a given distance from a thin foil at an angle

θ

varies with kinetic energy

E

of the alpha particle as

MEDIUM

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

Which of the following statements is not correct according to Rutherford model?

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

The value of magnetic quantum number of the last electron of

" Na "

" is

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

In Rutherford experiment, for head-on collision of

α -

particles with a gold nucleus, the impact parameter is

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

Electrons behave like gas in J.J. Thompson experiment because they

HARD

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

α

-particle after passing through potential difference of

V

volt collides with a nucleus. If the atomic number of the nucleus is

Z

, then distance of closest approach is

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

In Rutherford nuclear model of an atom, for a dynamically stable orbit in hydrogen atom, the orbit radius varies with the velocity of the electron as

\frac{1}{v^{a}},

where

α

is,
(Ignore radiation due to motion of electric charge)

MEDIUM

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

The graph of

\ln (\frac{R}{R_{0}})

versus

\ln A

(

R =

radius of a nucleus and

A =

mass number) is

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

The mass number and the volume of a nucleus is

M

and

V

respectively. If the mass number is increased to

2 M

then the volume is changed to

HARD

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

Consider the following statement:

(I) All isotopes of elements have the same number of neutrons.

(II) Only one isotope of an element can be stable and non-radioactive.

(III) All elements have isotopes.

(IV) All isotopes of Carbon can form chemical compounds with Oxygen $- 16$ .

The correct option regarding an isotope is:

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

A beam of fast moving alpha particles were directed towards a thin film of Gold. The parts $A^{'}, B^{'}$ and $C^{'}$ of the transmitted and reflected beams corresponding to the incident parts $A, B$ and $C$ of the beam are shown in the adjoing diagram. The number of alpha particles in

Question Image

EASY

Physics>Modern Physics>Atoms>Alpha-particle Scattering and Rutherford's Nuclear Model of Atom

The graph which depicts the results of Rutherford gold foil experiment with

α

-particles is:

θ :

Scattering angle

Y :

Number of scattered

α

-particles detected
(Plots are schematic and not to scale)

The distance of closest approach of an α -particle fired towards a nucleus with momentum p, is r. What will the distance of closest approach when the momentum of α -particle is 2p?

Important Questions on Atoms

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The distance of closest approach of an $α$ -particle fired towards a nucleus with momentum $p$ , is $r$ . What will the distance of closest approach when the momentum of $α$ -particle is $2 p$ ?