Q. If uncertainty in position and momentum are equal, then uncertainty in velocity is
A) √(h/π)
B) (1/2m)√(h/π)
C) √(h/2π)
D) (1/m)√(h/π)
Explanation
[Solution from source] Δx·Δp = h/4π with Δx = Δp gives Δp² = h/4π, so Δp = (1/2)√(h/π). Then Δv = Δp/m = (1/2m)√(h/π). The forms without m are momenta, not velocities. Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.