In a stationary wave pattern that forms as a result of reflection of waves from an obstacle the ratio of the amplitude at an antinode and a node is  β =1.5 what percentage of the energy passes across the obstacle

Amplitude at antinodes a1+a2  and at nodes a1-a2   We have been given β =a1+a2a1-a2= 1.5solving a1a2= 5     i.e,  a2=a15   intensity of  the reflected wave I2=I125percentage of energy reflected  I125100I1=4  so percentage  of energy transmitted across the obstacle= 96