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When $Z$ is doubled in a hydrogen like atom, which of the following statements are consistent with Bohr’s theory?

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Important Questions on Atomic Physics

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Alpha Question Bank for Engineering: Physics>Chapter 33 - Atomic Physics>Exercise - 2>Q 35

Let

A_{n}

be the area enclosed by the nth orbit in a hydrogen atom. The graph of

\ln (\frac{A_{n}}{A_{1}})

against

\ln (n)

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Alpha Question Bank for Engineering: Physics>Chapter 33 - Atomic Physics>Exercise - 3>Q 1

The largest wavelength in the ultraviolet region of the hydrogen spectrum is

122 nm

. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is

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Alpha Question Bank for Engineering: Physics>Chapter 33 - Atomic Physics>Exercise - 3>Q 2

STATEMENT-1 : If the accelerating potential in an X-ray tube is increased, the wavelengths of the characteristic X-rays do not change.

because

STATEMENT-2 : When an electron beam strikes the target in an X-ray tube, part of the kinetic energy is converted into X-ray energy.

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Alpha Question Bank for Engineering: Physics>Chapter 33 - Atomic Physics>Exercise - 3>Q 3

Which one of the following statements is wrong in the context of

X -

rays generated from a

X -

ray tube?

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Alpha Question Bank for Engineering: Physics>Chapter 33 - Atomic Physics>Exercise - 3>Q 5

If the mass of the particle is

m = 1.0 \times 10^{- 30} kg

and

a = 6.6 nm

, the energy of the particle in its ground state is closest to:

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Alpha Question Bank for Engineering: Physics>Chapter 33 - Atomic Physics>Exercise - 3>Q 6

A diatomic molecule has moment of inertia

I

. By Bohr’s quantization condition its rotational energy in the nth level (

n = 0

is not allowed) is :

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Alpha Question Bank for Engineering: Physics>Chapter 33 - Atomic Physics>Exercise - 3>Q 7

It is found that the excitation frequency from ground to the first excited state of rotation for the

CO

molecule is close to

\frac{4}{π} \times 10^{11} Hz

. Then the moment of inertia of

CO

molecule about its centre of mass is close to (Take

h = 2 π \times 10^{- 34} J s

)

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Alpha Question Bank for Engineering: Physics>Chapter 33 - Atomic Physics>Exercise - 3>Q 9

The radius of the orbit of an electron in a Hydrogen-like atom is

4.5 a_{0}

, where

a_{0}

is the Bohr radius. Its orbital angular momentum is

\frac{3 h}{2 π}

. It is given that

h

is Planck constant and

R

is Rydberg constant. The possible wavelength(s) when the atom de-excites is (are) :

When Z is doubled in a hydrogen like atom, which of the following statements are consistent with Bohr’s theory?

Important Questions on Atomic Physics

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When $Z$ is doubled in a hydrogen like atom, which of the following statements are consistent with Bohr’s theory?