The equation of a wave travelling on a string is , where and are distance and time in SI units. The minimum distance between two points having the same oscillating speed is :
- (A)5.0 cm✓ Correct
- (B)20 cm
- (C)10 cm
- (D)2.5 cm
Answer: (A)
Solution
The wave number is , so the wavelength is . The transverse speed is , and two points carry the same speed at every instant when their phases differ by , that is when they are a half-wavelength apart. The minimum separation is .
JEE Main · 2025 · 07 Apr 2025 · Shift 2 · Single correct option