Question

Column I gives certain situations in which a straight metallic wire of resistance $R$ is used and Column II gives some resulting effects. Match the statements in Column I with the statements in Column II:

Column I		Column II
A	A charged capacitor is connected to the ends of the wire.	P	A constant current flows through the wire.
B	The wire is moved perpendicular to its length with a constant velocity in a uniform magnetic field perpendicular to the plane of motion.	Q	Thermal energy is generated in the wire.
C	The wire is placed in a constant electric field that has a direction along the length of the wire.	R	A constant potential difference develops between the ends of the wire.
D	A battery of constant emf is connected to the ends of the wire.	S	Charges of constant magnitude appear at the ends of the wire.

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

Answer 1

Answer: (D)

$(A)\to (Q)$
The capacitor discharges by generating heat in the wire.
$(B)\to$ (R), (S)
Induced emf is $e=vBI$, which appears across the wire:

$(C)\to (R),(S)$
Free electrons in the wire experience electric force $F=eE$ and accumulate at the end, thereby creating a potential difference across the ends.
$(D)\to (P),(Q),(R)$
Free electrons in the wire experience electric force $F=eE$ and accumulate at the end, thereby creating a potential difference across the ends.