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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