We may perceive one sound as louder than another of equal intensity because our ears may detect it better.

No, while often used interchangeably, loudness and intensity are not the same. Loudness is a measure of the ear’s response to sound.

The intensity of sound is the amount of sound energy passing through unit area per unit time.

No, the speed of sound remains almost the same for all frequencies in a given medium under the same physical conditions.

The wavelength (λ) of a sound wave is the distance traveled by the wave in one time period (T).