Step 1: Examine statement (1).
A discharge lamp works by passing electric current through a gas at very low pressure inside a discharge tube (e.g., neon lamp, sodium vapour lamp).
Hence, statement (1) is true.
Step 2: Examine statement (2).
The colour of light emitted by a discharge lamp depends on the type of gas used.
For example:
Neon gas → red light
Sodium vapour → yellow light
Mercury vapour → bluish light
Therefore, white light is not always emitted.
Statement (2) is false.
Step 3: Final conclusion.
Only statement (1) is true.
\[
\boxed{\text{(A)}}
\]