A TV allocation has a total available spectrum of approximately 300 MHz. Assuming standard 6 MHz channel spacing, the number of TV channels that can be accommodated is approximately:

Introduction:Broadcast allocations divide spectrum into fixed-width channels. Estimating the number of channels from a total bandwidth is a straightforward bandwidth-division calculation used in spectrum planning.

Given Data / Assumptions:

• Total spectrum ≈ 300 MHz
• Per-channel bandwidth ≈ 6 MHz
• Guard bands and practical constraints are neglected for a rough estimate

Concept / Approach:The approximate number of channels equals total bandwidth divided by per-channel bandwidth. For rough planning and exam problems, guard bands are often ignored unless specified.

Step-by-Step Solution:

Verification / Alternative check:If small guard bands are included, the practical number may be slightly lower, but 50 remains the standard back-of-the-envelope figure for 300 MHz at 6 MHz spacing.

Why Other Options Are Wrong:

• A/B: 5 or 10 would imply much larger channel bandwidths or very little spectrum.
• D: 200 would require channels of ~1.5 MHz, not typical for analog/ATSC-like allocations.

Common Pitfalls:Mixing regional standards (e.g., 7/8 MHz in some countries) without being told; forgetting to keep units consistent.

Final Answer:50