Q8 / 110 · NTA Abhyas (NEET) 2020 · Physics · Units and Dimensions

A person observes that the full length of a train subtends an angle of 15°. If the distance between the train and the person is 3 km, the length of the train, calculated using the parallax method, in meters is

  • A
    45
  • B
    45π
  • Correct answer
    C
    250π
  • D
    75π

Solution

Full length of the train subtends 15° angle

15°=15×π180 rad 

=π12 rad 

Given that, the distance between the train and person is 3 km.

i.e., 3 km=3000 m

Length of the train = Radius × Angle = 3000×π12

=250π m​

Hence, the correct answer is option: 'C'.

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