Given: A copper wire of length 2 m and cross-sectional area 2 × 10â»â¶ m² carries a current of 2 A . If the number density of free electrons in copper is 8.5 × 10²⸠m^{-3 and e = 1.6 × 10â»Â¹â¹ C, what is the drift speed of the electrons? These values define the system as per NCERT data. Formula: Drift speed is given by v_d = I/n e A. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: Given: I = 2 A, n = 8.5 × 10²⸠m^{-3, e = 1.6 × 10â»Â¹â¹ C, A = 2 × 10â»â¶ m² . Substitute: v_d = frac28.5 × 10²⸠× 1.6 × 10â»Â¹â¹ × 2 × 10â»â¶. Calculate: v_d = 2/2.72 × 10â´= 7.35 × 10â»âµ m/s . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
Ref:
NCERT Physics Textbook for Class XI and XII, Chapter: Current Electricity, Topic: Resistivity, temperature dependence and circuit analysis.