Given below are two statements:

Statement I: The laws of nature put two fundamental limits on the data rate of a channel. The H. Nyquist limit restricts the number of independent samples per second to twice the bandwidth in a noiseless channel.

Statement II: Shannon's major result about noisy channel is that the maximum data rate of a channel whose bandwidth is $H$ Hz, and whose signal-to-noise ratio is $\frac{S}{N}$ is given by:

Maximum number of bits/sec $=H\log_2\left(1+\frac{S}{N}\right)$

In the light of the above statements, choose the correct answer from the options given below: