In communication system, if for a given rate of information transmission requires channel bandwidth, $$B_{1}$$ and signal-to-noise ratio $$SNR_{1}$$ If the channel bandwidth is doubled for same rate of information then new signal-to-noise ratio will be

A

$$SNR_{1}$$

B

$$2 SNR_{1}$$

C

$$\sqrt{SNR_{1}}$$

D

$$\frac{SNR_{1}}{2}$$