SECTION 2 (Maximum Marks: 24)

• This section contains SIX (06) questions.

• Each question has FOUR options ONE OR MORE THAN ONE of these four option(s) is(are) 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 If all the four options are correct but ONLY three options are chosen;

Partial Marks : +2 If three or more options are correct but ONLY two options 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 beaker of radius r is filled with water up to a height H as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed . This makes the water surface curved so that the difference in the height of water level at the center and at the circumference of the beaker is h(h<<H, h<<r), as shown in the figure on the spherical with a radius of curvature R. Which of the following is/are correct? (g is the acceleration due to gravity)