In the case of light traveling from a rarer to a denser medium, as long as the medium is non-absorbing and non-reflecting, the total energy of the wave remains unchanged. The change in the speed and wavelength of the light in the new medium does not affect the total energy of the wave. This is because the total energy of an electromagnetic wave depends on its frequency and amplitude, both of which remain constant when it enters a new medium that doesn't absorb or reflect the light.
Therefore, the total energy carried by the light wave remains the same as it travels from a rarer to a non-reflecting and non-absorbing medium. The correct answer is option (3).