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(a) The particles will collide the plane with same speed<br />

(b) The time of flight of each particle are same<br />

(c) Both particles strike the plane perpendicularly<br />

(d) The particles will collide in mid air if projected<br />

simultaneously and time of flight of each<br />

particle is less than the time of collision<br />

10. A capacitor is charged to a potential of V 0 . It is<br />

connected with an inductor through a switch S. The<br />

switch is closed at time t = 0. Which of the following<br />

statement(s) is/are correct?<br />

L<br />

S<br />

(a) The maximum current in the circuit is C V<br />

0<br />

L<br />

(b) Potential across capacitor be<strong>com</strong>es zero for the<br />

first time at t =π LC<br />

(c) Energy stored in the inductor at time t = π LC<br />

2<br />

is 1 2<br />

CV0<br />

4<br />

(d) Maximum energy stored in the inductor is<br />

1 2<br />

CV0<br />

2<br />

11. H + , He + and O + all having the same kinetic<br />

energy pass through a region in which there is<br />

a uniform magnetic field perpendicular to their<br />

velocities. The masses of H + , He + and O + are<br />

1 amu, 4 amu and 16 amu respectively. The<br />

(a) H + will be deflected most<br />

(b) O + will be deflected most<br />

(c) He + and O + will be deflected equally<br />

(d) all will be deflected equally.<br />

12. In the two cases shown, the coefficient of kinetic<br />

friction between the block and the surface is the<br />

same and both the identical blocks are moving with<br />

the same uniform speed. If sinq = mg/4F 2 , then<br />

F F 1 2<br />

<br />

<br />

(a) F 1 = F 2 (b) F 1 < F 2 (c) F 1 > F 2 (d) F 1 = 2F 2<br />

13. The tension in a stretched y<br />

string fixed at both ends<br />

is changed by 2%, the<br />

fundamental frequency is A B<br />

found to get changed by<br />

15 Hz. Select the correct<br />

statement(s)<br />

C<br />

x<br />

(a) Wavelength of the string of fundamental<br />

frequency does not change.<br />

(b) Velocity of propagation of wave changes by 2%.<br />

(c) Velocity of propagation of wave changes by 1%<br />

(d) Original frequency is 1500 Hz.<br />

<br />

14. A charged particle with velocity v= xi<br />

̂<br />

+ yj<br />

̂<br />

<br />

moves<br />

in a magnetic field B= yi<br />

̂<br />

+ xj<br />

̂<br />

. The magnitude of<br />

magnetic force acting on the particle is F. Which<br />

one of the following statement(s) is/are correct?<br />

(a) No force will act on particle, if x = y.<br />

(b) F ∝ (x 2 – y 2 ) if x > y.<br />

(c) The force will act along z-axis, if x > y.<br />

(d) The force will act along y-axis, if y > x.<br />

SECTION 3 (Maximum Marks : 12)<br />

• This section contains TO paragraphs.<br />

• ased on each paragraph, there are TO questions.<br />

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

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 In all other cases.<br />

PARAGRAPH 1<br />

A rod of length 1 m is rigidly clamped at its midpoint.<br />

Longitudinal stationary waves are set up in such a<br />

manner that there are two nodes on either side of the<br />

midpoint. The amplitude of antinode is 2 µm.<br />

15. What is the frequency of the rod if Young’s modulus<br />

of the rod is 2 × 10 11 N m –2 and the density of rod is<br />

8000 kg m –3 ?<br />

(a) 3125 Hz<br />

(b) 6250 Hz<br />

(c) 12500 Hz<br />

(d) 25000 Hz<br />

16. Write the equation of motion at a point 2 cm from<br />

its midpoint.<br />

(a) 2 × 10 –6 cos2.6sin25000t<br />

(b) 10 –6 cos1.3sin25000t<br />

(c) 10 –6 cos1.3sin12500t<br />

(d) 2 × 10 –6 cos1.3sin12500t<br />

PARAGRAPH 2<br />

An object at rest remains at rest and an object in<br />

motion will continue its motion with a constant<br />

velocity unless it experiences a net external force. But<br />

the magnitude of force given by Newton’s 2 nd law and<br />

3 rd law represents or gives the information about the<br />

nature of force. The second law gave a specific way of<br />

determining how the velocity changes under different<br />

influences called forces. There are so many forces<br />

calculated by Newton’s law such as normal force,<br />

CHEMISTRY TODAY | APRIL ‘17 73

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