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A particle is projected on a frictionles...

A particle is projected on a frictionless inclined plane of inclination `37^(@)` at an angle of projection `45^(@)` from the inclined plane as shown in the figure. If after the first collision from the plane, the particle returns to its point of projection, then what is the value of the reciprocal of the coefficient of restitution between the particle and the plane?

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