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

Answer 1

Answer: (D)

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

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