Read the following assertion and reason statements and choose the correct answer:
1. Assertion: A sound wave with a frequency of \(1000\,Hz\) must travel faster than a sound wave with a frequency of \(500\,Hz\) through the same medium.
Reason: The speed of a wave is given by \(v=\lambda\nu\).
Reason: The speed of a wave is given by \(v=\lambda\nu\).
2. Assertion: The wavelength of a sound wave travelling in air at a fixed speed becomes shorter when its frequency increases.
Reason: Wavelength and frequency are directly proportional when the speed of sound is constant.
Reason: Wavelength and frequency are directly proportional when the speed of sound is constant.