Two simple harmonic motions are represented by aligned y ₁ &=5[ 2 t + 3 2 t ] and y ₂ &=5 (2 t + 4 ) aligned The ratio of their amplitudes is

Step-by-step solution

y ₁=5[ 2 t + 3 2 t ]=10 [ 1 2 2 t + 3 2 2 t ]=10 [ 3 2 t+ 3 2 t ]=10 [ (2 t+ 3 ) ] A ₁=10 Similarly, y ₂=5 (2 t + 4 ) A ₂=5 Hence, A₁ A₂ = 10 5 = 2 1