The difference in the sound produced by the two coins upon hitting the cement floor can be attributed to the different pitch or frequency of the sound, rather than the loudness or amplitude.
Pitch is determined by the frequency of the sound wave, which refers to the number of oscillations or cycles of the wave that occur per second. The pitch of a sound is perceived by our ears as either high or low.
When the two identical coins of one rupee and two rupees are dropped from the same height onto the cement floor, they are likely to have different masses. The coin with a higher denomination (two rupees) is likely to have a greater mass compared to the coin with a lower denomination (one rupee). As a result, the coin with higher mass will produce a lower-pitched sound upon impact, while the coin with lower mass will produce a higher-pitched sound.
It's important to note that the loudness or amplitude of the sound is related to the intensity of the sound wave, which is primarily influenced by factors such as the force of impact or the energy transferred. In this scenario, since both coins are released from the same height and assumed to have similar initial velocities, their impact forces are likely to be comparable. Therefore, the difference in loudness or amplitude between the sounds produced by the two coins is expected to be minimal, if any.
In summary, the main reason for the difference in sound produced by the one-rupee coin and two-rupee coin is their difference in pitch or frequency, rather than loudness or amplitude.