JEE Advance - Physics (2009 - Paper 2 Offline - No. 10)

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)$$\to$$(P), (S), (T); (B)$$\to$$(Q); (C)$$\to$$(S); (D)$$\to$$(S), (R)
(A)$$\to$$(P), (Q), (T); (B)$$\to$$(Q); (C)$$\to$$(S); (D)$$\to$$(S)
(A)$$\to$$(P), (Q), (T); (B)$$\to$$(T); (C)$$\to$$(S); (D)$$\to$$(S)
(A)$$\to$$(S), (Q), (T); (B)$$\to$$(Q); (C)$$\to$$(S); (D)$$\to$$(S)

Explanation

(A)$$\to$$(P), (Q), (T)

$$\bullet$$ Case (P) : $$U=\frac{1}{2}CV^2$$

$$\bullet$$ Case (Q) : Since the work is done on the system, the internal energy increases.

$$\bullet$$ Case (T) : time varying $$\overrightarrow B $$ creates an induced $$\overrightarrow E $$ causing current to flow. This dissipates heat in the loop: $$H=L^2(Rt)$$.

(B)$$\to$$(Q) : As explained above.

(C)$$\to$$(S)

$$\bullet$$ Case (S) : Mass defect is converted into energy which is released.

(D)$$\to$$(S) : As explained above.

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