A body sends a wave 150 mm long through medium P and 0.30 m long in medium Q. If velocity of the wave in medium P is 80 , cm s ⁻¹ , the velocity of wave in medium Q is

Step-by-step solution

The frequency of a wave remains constant when it travels from one medium to another. f = v_P _P = v_Q _Q Given _P = 150 mm = 0.15 m , _Q = 0.30 m , and v_P = 80 cm s ⁻¹ = 0.8 m s ⁻¹ . Substituting the values: v_Q = v_P _Q _P v_Q = 0.8 0.30 0.15 v_Q = 0.8 2 = 1.6 m s ⁻¹ Answer: 1.6 , m s ⁻¹