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Test: Electromagnetic radiation, Bohr model - JEE MCQ


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20 Questions MCQ Test - Test: Electromagnetic radiation, Bohr model

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Test: Electromagnetic radiation, Bohr model - Question 1

What is the angular velocity of an electron occupying second orbit of ion?

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Test: Electromagnetic radiation, Bohr model - Question 2

The ion that is isoelectronic with CO is-

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Isoelectronic species are the having same number of electrons.
Number of electrons in CO = 6 + 8 = 14
O2- = 16 + 1 = 17
N2+ = 14 - 1 = 13
O2+ = 1 6 - 1 = 15
CN- = 6 + 7 + 1 = 14
Hence, CO isoelectronic with CN ion.

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Test: Electromagnetic radiation, Bohr model - Question 3

The energy of an electron in first Bohr orbit of atom is . The energy value of electron in the excited state of is:

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Test: Electromagnetic radiation, Bohr model - Question 4

The Bohr's energy equation for H atom reveals that the energy level of a shell is given by E = −13.58/n2eV. The smallest amount that an H atom will absorb if in ground state is

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The smallest value of energy of an electron in H atom in ground state can absorb is = E2 − E1

Test: Electromagnetic radiation, Bohr model - Question 5

If the electron of a hydrogen atom is present in the first orbit, the total energy of the electron is

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Test: Electromagnetic radiation, Bohr model - Question 6

An electron, e1 is moving in the fifth stationary state, and another electron e2 is moving in the fourth stationary state. The radius of orbit of electron, e1 is five times the radius of orbit of electron, e2 calculate the ratio of velocity of electron e1(v1) to the velocity of electron e2(v2)

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From the expression of Bohr's theory, we know that

Test: Electromagnetic radiation, Bohr model - Question 7

In a hydrogen atom, if energy of an electron 1n ground state is 13.6.ev, then that in the 2nd  excited state is

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2nd excited state will be the 3rd energy level
or

Test: Electromagnetic radiation, Bohr model - Question 8

What is the ratio of the atomic radius of the 5th orbit in chlorine atom and 3rd orbit in Helium atom?

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The atomic radius of an atom is given by the formula r= 52.9n2/Z pm, where rn is the radius of nth orbit of an atom and Z is the atomic number of that atom. The ratio of the atomic radius of the 5th orbit in chlorine atom and 3rd orbit in Helium atom is 25/17 : 9/2 = 50 : 153.

Test: Electromagnetic radiation, Bohr model - Question 9
An electron in an atom jumps in such a way that its kinetic energy changes from to . The change in potential energy will be:
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Change in P.E.
Test: Electromagnetic radiation, Bohr model - Question 10

What atomic number of an element "X" would have to become so that the 4 th orbit around X would fit inside the I Bohr orbit of H atom?

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Test: Electromagnetic radiation, Bohr model - Question 11
If in Bohr's model, for unielectronic atom, time period of revolution is represented as where n represents shell no. and represents atomic number then the value of will be :
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Test: Electromagnetic radiation, Bohr model - Question 12

The energy of in first orbit of is . The energy of in first orbit of is:

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Test: Electromagnetic radiation, Bohr model - Question 13
If radius of second stationary orbit (in Bohr's atom) is then radius of third orbit will be:
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Test: Electromagnetic radiation, Bohr model - Question 14
Bohr's atomic model can explain
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In Bohr's theory while calculating the energy of electron, the potential energy has been found out by considering only the attraction between the electron and nucleus. If there is another electron in the orbit, the potential energy would change due to electron-electron repulsion. Therefore the Bohr's model is meant for all one-electron systems.
Test: Electromagnetic radiation, Bohr model - Question 15
The energy of an electron in first Bohr orbit of -atom is . The possible energy value of electron in the excited state of is
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Hints:

For the excited state, and for ion,
Test: Electromagnetic radiation, Bohr model - Question 16

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is [a0 is Bohr radius] :

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As per Bohr s postulate,
So,

So,
Since,
So, for Bohr orbit


Test: Electromagnetic radiation, Bohr model - Question 17
The potential energy of the electron present in the ground state of ion is represented by:
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The potential energy of an electron in the ground state of hydrogen-like atoms (one electron system) is given by
The negative sign of potential energy reflects the stability of the electron in the ground state due to the coulombic force of attraction between the nucleus and electron.
for , where atomic number of an atom
Thus the potential energy of the electron present in the ground state of ion is
Test: Electromagnetic radiation, Bohr model - Question 18
The ratio of kinetic energy and total energy of an electron in Bohr orbit of hydrogen-like species is
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The ratio
Test: Electromagnetic radiation, Bohr model - Question 19

The speed of an electron in the first Bohr orbit is . The speed of electron in the level of ion will be

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Since , we will have

Test: Electromagnetic radiation, Bohr model - Question 20
Which of the following statements regarding Bohr theory of hydrogen atom is not correct?
Detailed Solution for Test: Electromagnetic radiation, Bohr model - Question 20
Let an electron revolves with a constant speed around the nucleus in a stationary orbit of radius . The electrostatic force acting on the electron is balanced by the centrifugal force i.e.
where
or ... (1)
Thus kinetic energy of electron ... (2)
Potential energy of electron
(using (2))
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