Section 2 (Maximum Marks: 24)

• This section contains SIX (06) questions.

• Each question have FOUR options. ONE OR MORE THAN ONE of these four option(s) is(are) the correct answer(s).

• For each question, choose the option(s) corresponding to (all) the correct answer(s).

• Answer to each question will be evaluated according to the following marking scheme: Full Marks +4 If only (all) the correct option(s) is(are) chosen.

Partial Marks +3 all the four the correct option but ONLY three options are chosen.

Partial Marks +2 If three or more options are correct but ONLY two are chosen both of which are correct.

Partial Marks +1 If two or more options are correct but ONLY one option is chosen and it is a correct option.

Zero Marks 0 If none of the options is chosen (i.e. the question is unanswered);

Negative Marks -2 In all other cases.

A particle of mass m moves in circular orbits with potential energy V(r) = Fr, where F is a positive constant and r is its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the particle's orbit is denoted by R and its speed and energy are denoted by v and E, respectively, then for the n th orbit (here h is the Planck's constant)