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(Full length)<br />

PHYSICS<br />

SECTION 1 (Maximum Marks : 15)<br />

• This section contains FIVE questions.<br />

• Each question has FOUR options (a), (b), (c) and (d). ONLY<br />

ONE of these four options is correct.<br />

• For each question, darken the bubble corresponding to the<br />

correct option in the ORS.<br />

• For each question, marks will be awarded in one of the following<br />

categories :<br />

Full Marks : +3 If only the bubble corresponding to the correct<br />

option is darkened.<br />

Zero Marks : 0 If none of the bubbles is darkened.<br />

Negative Marks : –1 In all other cases.<br />

1. A photon collides with a stationary hydrogen atom<br />

in ground state inelastically. Energy of the colliding<br />

photon is 10.2 eV. After a time interval of the order<br />

of microsecond, another photon collides with same<br />

hydrogen atom inelastically with an energy of<br />

15 eV. What will be observed by the detector?<br />

(a) One photon of energy 10.2 eV and an electron<br />

of energy 1.4 eV.<br />

(b) Two photons of energy 1.4 eV.<br />

(c) Two photons of energy 10.2 eV.<br />

(d) One photon of energy 10.2 eV and another<br />

photon of 1.4 eV.<br />

2. One end of a uniform rod of length l<br />

A<br />

and mass m is hinged at A. It is<br />

B<br />

released from rest from horizontal<br />

position AB as shown in figure. The<br />

force exerted by the rod on the hinge<br />

when it be<strong>com</strong>es vertical is<br />

3<br />

(a)<br />

2 mg (b) 5 mg (c) 3 mg (d) 5 mg<br />

2<br />

3. A circular ring of mass 6 kg and radius a is placed<br />

such that its centre lies at the origin. Two particles<br />

of masses 2 kg each are placed at the intersecting<br />

points of the circle with positive x-axis and positive<br />

y-axis. Then the angle made by the position vector<br />

of centre of mass of entire system with x-axis is<br />

(a) 45° (b) 60°<br />

(c) tan –1 (4/5) (d) 30°<br />

PAPER-I<br />

4. To a man moving due north with a speed 5 m s –1 ,<br />

the rain appears to fall vertically. When the man<br />

doubles his speed, the rain appears to fall at 60°.<br />

Find the actual speed of the rain and its direction.<br />

(a) 10 m s –1 , 120° (b) 10 m s –1 , 180°<br />

(c) 10 m s –1 , 90° (d) 10 m s –1 , 60°<br />

5. Magnetic field at the centre of a Bohr’s hypothetical<br />

hydrogen atom in the n th orbit of the electron is<br />

(a) directly proportional to charge of electron e<br />

(b) directly proportional to e 2<br />

(c) inversely proportional to n 5<br />

(d) directly proportional to n 5<br />

SECTION 2 (Maximum Marks : 32)<br />

• This section contains EIGHT questions.<br />

• Each question has FOUR options (a), (b), (c) and (d). ONE OR<br />

MORE THAN ONE of these four option(s) is(are) correct.<br />

• For each question, darken the bubble(s) corresponding to all<br />

the correct option(s) in the ORS.<br />

• For each question, marks will be awarded in one of the following<br />

categories :<br />

Full Marks : +4 If only the bubble(s) corresponding to the<br />

correct option(s) is(are) darkened.<br />

Partial Marks : +1 For darkening a bubble corresponding to<br />

each correct option, provided NO incorrect option is darkened.<br />

Zero Marks : 0 If none of the bubbles is darkened.<br />

Negative Marks : –2 In all other cases.<br />

• For example, if (a), (c) and (d) are all the correct options for<br />

a question, darkening all these three will result in +4 marks;<br />

darkening only (a) and (d) will result in +2 marks; and darkening (a)<br />

and (b) will result in –2 marks, as a wrong option is also darkened.<br />

6. Consider the motion of a positive point charge in<br />

a region where there are simultaneous uniform<br />

electric and magnetic fields ^<br />

E= E j B <br />

0 and = B0<br />

^. j<br />

At time t = 0, this charge has velocity v in the x-y<br />

plane, making an angle θ with the x-axis. Which of<br />

the following option(s) is (are) correct for time t > 0?<br />

(a) If θ = 0°, the charge moves in a circular path in<br />

the x-z plane.<br />

(b) If θ = 0°, the charge undergoes helical motion<br />

with constant pitch along the y-axis.<br />

CHEMISTRY TODAY | APRIL ‘17 27

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