Tiwari Academy Discussion

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

Obtain an expression for the frequency of radiation emitted when a hydrogen atom de-excites from level n to level (n–1). For large n, show that this frequency equals the classical frequency of revolution of the electron in the orbit.

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.13 NCERT Solutions for Class 12 Physics Chapter 12 Question-13 Additional Exercise

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

Obtain the first Bohr’s radius and the ground state energy of a muonic hydrogen atom [i.e., an atom in which a negatively charged muon (μ– ) of mass about 207me orbits around a proton].

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.17 NCERT Solutions for Class 12 Physics Chapter 12 Question-17 Additional Exercise

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

If Bohr’s quantisation postulate (angular momentum = nh/2π) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why then do we never speak of quantisation of orbits of planets around the sun?

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.16 NCERT Solutions for Class 12 Physics Chapter 12 Question-16 Additional Exercise

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

The total energy of an electron in the first excited state of the hydrogen atom is about –3.4 eV. (a) What is the kinetic energy of the electron in this state? (b) What is the potential energy of the electron in this state? (c) Which of the answers above would change if the choice of the zero of potential energy is changed?

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.15 NCERT Solutions for Class 12 Physics Chapter 12 Question-15 Additional Exercise

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

Classically, an electron can be in any orbit around the nucleus of an atom. Then what determines the typical atomic size? Why is an atom not, say, thousand times bigger than its typical size? The question had greatly puzzled Bohr before he arrived at his famous model of the atom that you have learnt in the text. To simulate what he might well have done before his discovery, let us play as follows with the basic constants of nature and see if we can get a quantity with the dimensions of length that is roughly equal to the known size of an atom (~ 10⁻¹⁰m). (a) Construct a quantity with the dimensions of length from the fundamental constants e, me, and c. Determine its numerical value. (b) You will find that the length obtained in (a) is many orders of magnitude smaller than the atomic dimensions. Further, it involves c. But energies of atoms are mostly in non-relativistic domain where c is not expected to play any role. This is what may have suggested Bohr to discard c and look for ‘something else’ to get the right atomic size. Now, the Planck’s constant h had already made its appearance elsewhere. Bohr’s great insight lay in recognising that h, me, and e will yield the right atomic size. Construct a quantity with the dimension of length from h, me, and e and confirm that its numerical value has indeed the correct order of magnitude.

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.14 NCERT Solutions for Class 12 Physics Chapter 12 Question-14 Additional Exercise

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

The gravitational attraction between electron and proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10⁻⁴⁰ .An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound by gravitational attraction. You will find the answer interesting.

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.12 NCERT Solutions for Class 12 Physics Chapter 12 Question-12

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

Answer the following questions, which help you understand the difference between Thomson’s model and Rutherford’s model better. (a) Is the average angle of deflection of α-particles by a thin gold foil predicted by Thomson’s model much less, about the same, or much greater than that predicted by Rutherford’s model? (b) Is the probability of backward scattering (i.e., scattering of α-particles at angles greater than 90°) predicted by Thomson’s model much less, about the same, or much greater than that predicted by Rutherford’s model? (c) Keeping other factors fixed, it is found experimentally that for small thickness t, the number of α-particles scattered at moderate angles is proportional to t. What clue does this linear dependence on t provide? (d) In which model is it completely wrong to ignore multiple scattering for the calculation of average angle of scattering of α-particles by a thin foil?

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.11 NCERT Solutions for Class 12 Physics Chapter 12 Question-11

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 10¹¹ m with orbital speed 3 × 10⁴ m/s. (Mass of earth = 6.0 × 10²⁴ kg.)

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.10 NCERT Solutions for Class 12 Physics Chapter 12 Question-10

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. What series of wavelengths will be emitted?

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.9 NCERT Solutions for Class 12 Physics Chapter 12 Question-9

Ashok0210

Asked: April 27, 2021In: Class 12 Physics

The radius of the innermost electron orbit of a hydrogen atom is 5.3×10⁻⁻¹¹ m. What are the radii of the n = 2 and n =3 orbits?

Class 12 Physics CBSE and UP Board Atoms Chapter-12 Exercise 12.8 NCERT Solutions for Class 12 Physics Chapter 12 Question-8

Obtain an expression for the frequency of radiation emitted when a hydrogen atom de-excites from level n to level (n–1). For large n, show that this frequency equals the classical frequency of revolution of the electron in the orbit.

Obtain the first Bohr’s radius and the ground state energy of a muonic hydrogen atom [i.e., an atom in which a negatively charged muon (μ– ) of mass about 207me orbits around a proton].

If Bohr’s quantisation postulate (angular momentum = nh/2π) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why then do we never speak of quantisation of orbits of planets around the sun?

In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 10¹¹ m with orbital speed 3 × 10⁴ m/s. (Mass of earth = 6.0 × 10²⁴ kg.)

A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. What series of wavelengths will be emitted?

The radius of the innermost electron orbit of a hydrogen atom is 5.3×10⁻⁻¹¹ m. What are the radii of the n = 2 and n =3 orbits?

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