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← IIT-JEE 2007 · Paper 1
PhysicsMatrix match+6Question 21 of 66

IIT-JEE 2007 · Paper 1, Physics question 21

Column I gives certain situations in which a straight metallic wire of resistance RR 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.

Column I

  • A
    A charged capacitor is connected to the ends of 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
  • C
    The wire is placed in a constant electric field that has a direction along the length of the wire
  • D
    A battery of constant emf is connected to the ends of the wire

Column II

  • P
    A constant current flows through the wire
  • Q
    Thermal energy is generated in the wire
  • R
    A constant potential difference develops between the ends of the wire
  • S
    Charges of constant magnitude appear at the ends of the wire
Mark every match for each entry
PQRS
A
B
C
D
Answer and worked solution

Official answer: A → Q; B → R, S; C → S; D → P, Q, R

  • A, capacitor across the wire: it discharges; the current decays (not constant), and heat is produced. → Q.
  • B, wire moving through a field: a motional emf separates charges until a constant potential difference vBlvBl exists, with constant charges at the ends; no steady current flows in the isolated wire. → R, S.
  • C, wire in a field along its length: charges move until the induced charges at the ends cancel the field inside; then nothing flows, and the ends keep constant charges. → S. (The potential difference along the conductor becomes zero.)
  • D, battery: a constant current, Joule heating, and a constant potential difference. → P, Q, R.

Answer: A → Q; B → R, S; C → S; D → P, Q, R