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Test: Hydrogen spectrum - JEE MCQ


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15 Questions MCQ Test Chemistry for JEE Main & Advanced - Test: Hydrogen spectrum

Test: Hydrogen spectrum for JEE 2024 is part of Chemistry for JEE Main & Advanced preparation. The Test: Hydrogen spectrum questions and answers have been prepared according to the JEE exam syllabus.The Test: Hydrogen spectrum MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Hydrogen spectrum below.
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Test: Hydrogen spectrum - Question 1

The wavelength of Hα line of Balmer series is X Å. What is the wavelength of Hβ line of Balmer series.

Detailed Solution for Test: Hydrogen spectrum - Question 1

Hα line of Balmer series means first line of Balmer series. n= 2, n2 = 3

Hβ line of Balmer series means, second line of Balmer series,

Test: Hydrogen spectrum - Question 2

A dye absorbs a photon of wavelength and reemits the same energy into two photons of wavelength and respectively. The wavelength is related with and as:

Detailed Solution for Test: Hydrogen spectrum - Question 2


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Test: Hydrogen spectrum - Question 3

The energy of an electromagnetic radiation is 19.875 × 10−13 ergs. What is its wave number in cm−1 ? (h = 6.625 × 10−27 erg sec, c = 3 × 1010 cmsec−1)

Detailed Solution for Test: Hydrogen spectrum - Question 3

Test: Hydrogen spectrum - Question 4

What is the maximum wavelength line in the Lyman series of ion?

Detailed Solution for Test: Hydrogen spectrum - Question 4


Test: Hydrogen spectrum - Question 5

Find the value of wave number in terms of Rydberg's constant, when transition of electron takes place between two levels of ion whose sum is 4 and difference is 2 .

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Test: Hydrogen spectrum - Question 6

The electron energy in hydrogen atom is given by E = (−21.7 × 10−12)/n2 ergs. By calculating the energy required to remove an electron completely from the n = 2 orbit, find out the longest wavelength (in cm) of light that can be used to cause this transition?

Detailed Solution for Test: Hydrogen spectrum - Question 6


Since ergs

whence

Test: Hydrogen spectrum - Question 7

The of line of Balmer series is . What is the of line of Balmer series?

Detailed Solution for Test: Hydrogen spectrum - Question 7

For lines of Balmer series
For line of Balmer series
...(1)
and ...(2)
By Eqs. (1) and (2)

Test: Hydrogen spectrum - Question 8

A near UV photon of is absorbed by a gas and then re-emitted as two photons. One photon is red with wavelength . Hence, wavelength of the second photon is

Detailed Solution for Test: Hydrogen spectrum - Question 8

Energy values are additives

Test: Hydrogen spectrum - Question 9

What is the lowest energy of the spectral line emitted by the hydrogen atom in the Lyman series?
(h = Planck's constant, c = velocity of light, R = Rydberg's constant).

Detailed Solution for Test: Hydrogen spectrum - Question 9

We know that,

For lowest energy, of the spectral line in Lyman series,
Hence,

Test: Hydrogen spectrum - Question 10
With respect to atomic spectrum, each line in the Lyman series is due to electrons returning
Detailed Solution for Test: Hydrogen spectrum - Question 10
Lyman series: From n = 2, 3, 4, 5 ..... to n = 1.
In case of Balmer series, Paschen series, Bracket series the value of ground states are 2, 3, 4 respectively.
Test: Hydrogen spectrum - Question 11

The figure indicates the energy level diagram of an atom and the origin of six spectral lines in emission (e.g. line no. 5 arises from the transition from level B to A). The following spectral lines will also occur in the absorption spectrum

Detailed Solution for Test: Hydrogen spectrum - Question 11

We get absorption lines when the transition of the electron takes place from ground state, or energy level n = 1, to higher levels. For given options only 1, 2 and 3 lines.

Test: Hydrogen spectrum - Question 12

The frequency of light emitted for the transition n = 4 to n = 2 of the He+ is equal to the transition in H atom corresponding to which of the following ?

Detailed Solution for Test: Hydrogen spectrum - Question 12

Test: Hydrogen spectrum - Question 13

In hydrogen atomic spectrum, a series limit is found at . Then it belong to

Detailed Solution for Test: Hydrogen spectrum - Question 13

Series limit is the last line of the series, i.e. n2 = ∞.



The line belongs to Paschen series.

Test: Hydrogen spectrum - Question 14

If the wavelength of the first line in Balmer series is 656 nm, then the wavelength of its second line and limiting line respectively are

Detailed Solution for Test: Hydrogen spectrum - Question 14

According to H-spectrum;


Dividing Eqs. (i) and (ii) we get,

Similarly, wavelength of limiting line i.e. n2 = ∞ and n1 = 2

Hence, wavelength of second line is 485.9 nm and limiting line is 364.4 nm.

Test: Hydrogen spectrum - Question 15
Which of the following statements is not true?
Detailed Solution for Test: Hydrogen spectrum - Question 15
Paschen spectral series lies in the near infrared region of electromagnetic radiation.
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