Question Bank • QB_FM_ADV_082 MCQ • 1 Mark

Section 2: Farm Machinery

Farm Machinery

Subtopic: Equipment for precision agriculture

Question Statement:

In agricultural drone remote sensing for variable-rate weed spraying, the Ground Sampling Distance (GSD) represents the distance between pixel centers measured on the ground. For a camera with focal length $f = 24\text{ mm}$, sensor width $S_w = 36\text{ mm}$, image width $I_w = 6000\text{ pixels}$, flying at a flight height of $h = 60\text{ m}$, the GSD is:

Options:

  • (A) $1.5\text{ cm/pixel}$
  • (B) $3.0\text{ cm/pixel}$
  • (C) $4.5\text{ cm/pixel}$
  • (D) $6.0\text{ cm/pixel}$

Answer Key:

A

Step-by-Step Solution & Explanation

``` UAV Photogrammetry GSD Formula: GSD = (h * S_w) / (f * I_w) ``` **Step-by-step Calculation:** 1. Formula for Ground Sampling Distance: $\text{GSD} = \frac{h \times S_w}{f \times I_w}$ Where: - Flight height $h = 60\text{ m} = 60000\text{ mm}$ - Sensor width $S_w = 36\text{ mm}$ - Focal length $f = 24\text{ mm}$ - Image width $I_w = 6000\text{ pixels}$ 2. Substituting values: $\text{GSD} = \frac{60000\text{ mm} \times 36\text{ mm}}{24\text{ mm} \times 6000\text{ pixels}} = \frac{2160000}{144000} = 15\text{ mm/pixel} = 1.5\text{ cm/pixel}$
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