যে সব বন্ত একটি বাজ পাখির চোখে ন্যুনতম $1.7\times {10}^{-2}$ ডিগ্রি কোণ উৎপন্ন করে সে সব বস্তর অভিত্ব পাখিটি বুঝতে পারে । পাখিটি যখন 100m উপর দিয়ে উড়ে তখন ভূমির উপর কত ক্ষুদ্র বস্তুর অস্তিত্ব বুঝতে পারে?

The answer to this question involves understanding how a bird's vision works and the relationship between distance and angular resolution. The minimum angle that the bird can distinguish is given as $1.7\times {10}^{-2}$ degrees.

When the bird is flying at a height of 100 meters, it forms a certain triangle where:

    
• The height of the triangle is the distance from the bird to the ground (100 meters).
    
• The angle at the bird's eye is 1.7 × 10^-2 degrees.

Using trigonometry, we can calculate the smallest size of an object that the bird can see. The formula used is based on the tangent of the angle, which relates the angular size to the linear size:

Size = Distance × tan(Angle)

As the angle is very small, for small angles, we can approximate tan(Angle) ≈ Angle (in radians). By converting the angle from degrees to radians and substituting the values, we reach the provided answer of 2.967 cm.

This means that at a height of 100 meters, the smallest object that the bird can detect is approximately 2.967 cm in size, which justifies the correctness of the given answer.

AI-এর ব্যাখ্যায় ভুল থাকতে পারে।