1
IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0

Column II gives certain systems undergoing a process. Column I suggests changes in some of the parameters related to the system. Match the statements in Column I to the appropriate process(es) from Column II:

Column I Column II
(A) The energy of the system is increased. (P) System : A capacitor, initially uncharged.
Process : It is connected to a battery.
(B) Mechanical energy is provided to the system, which is converted into energy of random motion of its parts. (Q) System : A gas in an adiabatic container filled with an adiabatic piston.
Process : The gas is compressed by pushing the piston.
(C) Internal energy of the system is converted into its mechanical energy. (R) System : A gas in a rigid container.
Process : The gas gets cooled due to colder atmosphere surrounding it.
(D) Mass of the system is decreased. (S) System : A heavy nucleus, initially at rest.
Process : The nucleus fissions into two fragments of nearly equal masses and some neutrons are emitted.
(T) System : A resistive wire loop.
Process : The loop is placed in a time varying magnetic field perpendicular to its plane.

A
(A)$$\to$$(P), (S), (T); (B)$$\to$$(Q); (C)$$\to$$(S); (D)$$\to$$(S), (R)
B
(A)$$\to$$(P), (Q), (T); (B)$$\to$$(Q); (C)$$\to$$(S); (D)$$\to$$(S)
C
(A)$$\to$$(P), (Q), (T); (B)$$\to$$(T); (C)$$\to$$(S); (D)$$\to$$(S)
D
(A)$$\to$$(S), (Q), (T); (B)$$\to$$(Q); (C)$$\to$$(S); (D)$$\to$$(S)
2
IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0

Column I shows four situations of standard Young's double slit arrangement with the screen placed far away from the slits S$$_1$$ and S$$_2$$. In each of these cases, S$$_1$$P$$_0$$ = S$$_2$$P$$_0$$, S$$_1$$P$$_1$$ $$-$$ S$$_2$$P$$_1$$ = $$\lambda/4$$ and S$$_1$$P$$_2$$ $$-$$ S$$_2$$P$$_2$$ = $$\lambda/3$$, where $$\lambda$$ is the wavelength of the light used. In the cases B, C and D, a transparent sheet of refractive index $$\mu$$ and thickness t is pasted on slit S$$_2$$. The thickness of the sheets are different in different cases. The phase difference between the light waves reaching a point P on the screen from the two slits is denoted by $$\delta$$(P) and the intensity by I(P). Match each situation given in Column I with the statement(s) in Column II valid for that situation:

Column I Column II
(A) IIT-JEE 2009 Paper 2 Offline Physics - Wave Optics Question 3 English 1 (P) $$\delta ({P_0}) = 0$$
(B) $$(\mu-1)t=\lambda/4$$
IIT-JEE 2009 Paper 2 Offline Physics - Wave Optics Question 3 English 2
(Q) $$\delta ({P_1}) = 0$$
(C) $$(\mu-1)t=\lambda/2$$
IIT-JEE 2009 Paper 2 Offline Physics - Wave Optics Question 3 English 3
(R) $$I({P_1}) = 0$$
(D) $$(\mu-1)t=3\lambda/4$$
IIT-JEE 2009 Paper 2 Offline Physics - Wave Optics Question 3 English 4
(S) $$I({P_0}) > I({P_1})$$
(T) $$I({P_2}) > I({P_1})$$

A
(A)$$\to$$(P), (S); (B)$$\to$$(Q); (C)$$\to$$(T); (D)$$\to$$(R), (S), (T)
B
(A)$$\to$$(P), (S); (B)$$\to$$(R); (C)$$\to$$(T); (D)$$\to$$(R), (S), (T)
C
(A)$$\to$$(P), (S); (B)$$\to$$(Q); (C)$$\to$$(S); (D)$$\to$$(R), (S), (T)
D
(A)$$\to$$(P), (R); (B)$$\to$$(Q); (C)$$\to$$(T); (D)$$\to$$(R), (S), (T)
3
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1

A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36 kg and 0.72 kg. Taking g = 10 m/s2, find the work done (in joules) by the string on the block of mass 0.36 kg during the first second after the system is released from rest.

IIT-JEE 2009 Paper 2 Offline Physics - Work Power & Energy Question 3 English
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4
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1

Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m$$^2$$. The radii of bubbles A and B are 2 cm and 4 cm, respectively. Surface tension of the soap-water used to make bubbles is 0.04 N/m. Find the ratio $$n_B/n_A$$, where $$n_A$$ and $$n_B$$ are the number of moles of air in bubbles A and B, respectively. (Neglect the effect of gravity.)

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