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Bohr's theory can also be applied to the...

Bohr's theory can also be applied to the ions like

A

(a) `He^(+)`

B

(b) `Li^(2+)`

C

(c) `Be^(3+)`

D

(d) all of these.

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The correct Answer is:
To solve the question "Bohr's theory can also be applied to the ions like," we need to analyze each of the given options based on the principles of Bohr's theory. ### Step-by-Step Solution: 1. **Understanding Bohr's Theory**: - Bohr's theory primarily applies to hydrogen-like (single-electron) species. According to Bohr, electrons revolve around a nucleus in stable orbits, and the angular momentum of these electrons is quantized. 2. **Identifying the Options**: - The options provided are: - Helium positive ion (He⁺) - Lithium 2 positive ion (Li²⁺) - Beryllium 3 positive ion (Be³⁺) - All of these 3. **Analyzing Helium Positive Ion (He⁺)**: - Helium has an atomic number of 2, meaning it has 2 electrons in its neutral state. - As a He⁺ ion, it has lost one electron, leaving it with 1 electron. - Since it has only 1 electron, it is a single-electron species, and thus Bohr's theory is applicable. 4. **Analyzing Lithium 2 Positive Ion (Li²⁺)**: - Lithium has an atomic number of 3, meaning it has 3 electrons in its neutral state. - As a Li²⁺ ion, it has lost 2 electrons, leaving it with 1 electron. - Again, since it has only 1 electron, Bohr's theory is applicable. 5. **Analyzing Beryllium 3 Positive Ion (Be³⁺)**: - Beryllium has an atomic number of 4, meaning it has 4 electrons in its neutral state. - As a Be³⁺ ion, it has lost 3 electrons, leaving it with 1 electron. - Since it has only 1 electron, Bohr's theory is applicable. 6. **Conclusion**: - All three ions (He⁺, Li²⁺, and Be³⁺) are single-electron species. Therefore, Bohr's theory can be applied to all of these ions. - The correct answer is **"All of these."** ### Final Answer: Bohr's theory can be applied to all of the given ions: Helium positive ion (He⁺), Lithium 2 positive ion (Li²⁺), and Beryllium 3 positive ion (Be³⁺). ---
To solve the question "Bohr's theory can also be applied to the ions like," we need to analyze each of the given options based on the principles of Bohr's theory. ### Step-by-Step Solution: 1. **Understanding Bohr's Theory**: - Bohr's theory primarily applies to hydrogen-like (single-electron) species. According to Bohr, electrons revolve around a nucleus in stable orbits, and the angular momentum of these electrons is quantized. 2. **Identifying the Options**: ...
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Niels Bohr a Danish physicist received his PhD from the University of Copenhagen in 1911. He that spent a year with J.J. Thomson and Ernest Rutherford in England. In 1913, he returned to Copenhagen Where he remained for the rest of his life. In 1920 he was named Director of the Institute of theory! Physics After first World War Bohr worked energetically for peaceful uses of atomic energy recieved the first Atoms for Peace award in 1957 Bohr was awarded the Nobel Prize in Physics 1922 (a) The Angular momentum of an electron in a given stationary state can be expressed as m_e vr =h/(2pi) where n=1, 2,3 ...... Thus an electron can move only in those orbits for which its angular momentum is integral multiple of h/2 pi that is why only certain fixed orbits are alowed (b) The radii of the stationary states are expressed as r_n=n^2a_0 where a_0 =52.9 pm. Thus the radius the first stationary state, called the Bohr radius, is 52.9 pm. Normally the electron in the hydrogen atom is found in this orbit (that is n =1). As n increases the value of r will increase (c) The most important property associated with the electron E_n=-2.18xx10^(-18)(Z^2/n^2)J n=1,2,3 (d)it is also possible to calculate to calculate the velocities of electrons moving in these orbits by using v_n=2.18 10^6xxZ/n m/sec. Qualitatively the magnitude of velocity of electron increases with increase of positive charge on the nucleus and decreases with increases the value of n. (e)Bohr's theory can also be applied to th ions containing only one electron, similar to that present it hydrogen atom. For example , He^+ Li^(2+) , Be^(3+) and so on. given by the expression Ex=-218x n=1,2,3 (d) It is also possible to calculate the velocities of electrons moving in these orbits by using V 2.1810 cm/sec Qualitatively the magnitude of velocity of electron increases with increase of positive charge on the nucleus and decreases with increase the value of n (e) Bohr's theory can also be applied to the ions containing only one electron, similar to that presenti hydrogen atom For example, Help, Be and so on Choose the correct statement

Niels Bohr a Danish physicist received his PhD from the University of Copenhagen in 1911. He that spent a year with J.J. Thomson and Ernest Rutherford in England. In 1913, he returned to Copenhagen Where he remained for the rest of his life. In 1920 he was named Director of the Institute of theory! Physics After first World War Bohr worked energetically for peaceful uses of atomic energy recieved the first Atoms for Peace award in 1957 Bohr was awarded the Nobel Prize in Physics 1922 (a) The Angular momentum of an electron in a given stationary state can be expressed as m_e vr =h/(2pi) where n=1, 2,3 ...... Thus an electron can move only in those orbits for which its angular momentum is integral multiple of h/2 pi that is why only certain fixed orbits are alowed (b) The radii of the stationary states are expressed as r_n=n^2a_0 where a_0 =52.9 pm. Thus the radius the first stationary state, called the Bohr radius, is 52.9 pm. Normally the electron in the hydrogen atom is found in this orbit (that is n =1). As n increases the value of r will increase (c) The most important property associated with the electron E_n=-2.18xx10^(-18)(Z^2/n^2)J n=1,2,3 (d)it is also possible to calculate to calculate the velocities of electrons moving in these orbits by using v_n=2.18 10^6xxZ/n m/sec. Qualitatively the magnitude of velocity of electron increases with increase of positive charge on the nucleus and decreases with increases the value of n. (e)Bohr's theory can also be applied to th ions containing only one electron, similar to that present it hydrogen atom. For example , He^+ Li^(2+) , Be^(3+) and so on. given by the expression Ex=-218x n=1,2,3 (d) It is also possible to calculate the velocities of electrons moving in these orbits by using V 2.1810 cm/sec Qualitatively the magnitude of velocity of electron increases with increase of positive charge on the nucleus and decreases with increase the value of n (e) Bohr's theory can also be applied to the ions containing only one electron, similar to that presenti hydrogen atom For example, Help, Be and so on Choose the incorrect curve : if v=velocity of electron in Bohr's orbit r=Radius of electron in Bohr's orbit P.E.=Potential energy of electron in Bohr's orbit K.E.=Kinetic energy of the electron in Bohr's orbit.

Bohr's theory is not applicable to

Bohr's theory is not applicable to-

Bohr's theory is applicable to

Bohr’s theory is applicable to:

Bohr theory is not applicable for

In Bohr's theory for hydrogen -like atoms

Bohr's atomic theory gave the idea of :

Using Bohr's theory, the transition, so that the electrons de-Broglie wavelength becomes 3 times of its orginial value in He^+ ion will be