Question

The time of flight for LiDAR is 0.00001 sec. Find the distance of the object from the instrument.

500 m

 

1000 m

 

1500 m

 

2000 m ​

Answer 1

Answer:

The object is approximately 1500 meters away from the instrument.

Explanation:

Given Data:

Time of Flight = 0.00001 = $10^{-5}$ sec

Speed of light (c) = 3 × $10^{8}$ m/s

To Calculate :

The distance between the object and the mechanical instrument.

Formula To Be Used :

Distance = (time of flight×speed of light ) / 2

Calculations:

The formula to calculate the distance using LiDAR is:

Distance = (time of flight×speed of light ) / 2

where the speed of light is approximately  3 × $10^{8}$ meters per second.

Substituting the given time of flight of 0.00001 sec, we get:

Distance (d)

$d =\frac{3 \times 10^{8} \times 10^{-5} }{2} = 1.5 \times 10^{3} = 1500$

Distance = 1500 meters

So, the correct option is (c) 1500 m

Therefore, the object is approximately 1500 meters away from the instrument.

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Answer 2

Answer:

the distance of the object from the LiDAR instrument is 1500 meters.

Explanation:

LiDAR (Light Detection and Ranging) is a remote sensing technology that uses laser light to measure distances and create detailed 3D maps of objects and environments. The time of flight for LiDAR refers to the time it takes for a laser pulse to travel from the sensor to the target and back.

The time of flight is a critical parameter for LiDAR because it determines the accuracy and resolution of the measurements. The shorter the time of flight, the more precise the measurements and the higher the resolution of the resulting 3D maps.

To achieve a short time of flight, LiDAR sensors typically use high-frequency laser pulses and fast detectors. For example, some LiDAR systems use pulses with durations of just a few nanoseconds and detectors that can measure the time of flight with picosecond resolution.

To find the distance of an object from a LiDAR instrument given the time of flight, we can use the formula:

Distance = (Speed of Light × Time of Flight) / 2

Since the speed of light is a constant, we can simply plug in the given time of flight:

Distance = (3 × 10^8 m/s × 0.00001 s) / 2

Distance = 1500 m

Therefore, the distance of the object from the LiDAR instrument is 1500 meters.

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