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 and indicate your answer by darkening appropriate bub

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 and indicate your answer by darkening appropriate bubbles in the 4 × 4 matrix given in the ORS. [2007]

	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.

Smart Achievers · Accepted Answer

(4)

A : q

Thermal energy is generated in the wire, when a charged capacitor is connected to the ends of the wire, a variable current (decreasing in magnitude with time) passes through the wire (shown as resistor). The potential difference across the wire also decreases with time. The charge on the capacitor plate also decreases with time.

B : r, s

The wire is moved perpendicular to its length $(ℓ)$ with a constant velocity (v) in a uniform magnetic field (B) perpendicular to the plane of motion $e = B ℓ v$

When $B, ℓ, v$ are constant, e is constant.

A constant potential difference develops across the ends of the wire and charges of constant magnitude appear at the ends of the wire.

C : s

When wire is placed in a constant electric field that has a direction along the length of the wire. The free electrons move under the influence of electric field opposite to the direction of electric field. This movement of $e ⁻$ continues till the electric field inside the wire is zero. Charges of constant magnitude appear at the ends of the wire.

D : p, q, r

Since emf of the battery E, R are constant, a constant current flows in the wire. Due to heating effect of current, thermal energy is generated in the wire. Also a constant potential difference develops between the ends of the wire.

Solution

1 A : r,s ; B : s ; C : p,q,r ; D : q

2 A : p,q,r ; B : s ; C : r,s ; D : q

3 A : p,q,r ; B : r,s ; C : s ; D : q

4 A : q ; B : r,s ; C : s ; D : p,q,r

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