Q67 / 90 · JEE Main 2023 (25 Jan Shift 2) · Physics

Two objects are projected with same velocity u however at different angles α and β with the horizontal. If α +β= 90°, the ratio of horizontal range of the first object to the 2nd object will be :

  • A
    4 : 1 
  • B
    2 : 1
  • C
    1 : 2
  • Correct answer
    D
     1 : 1

Solution

Given: α+β=90°

Range of the first projectile:

R1=u2sin2αg

Range of the second projectile:

R2=u2sin2βg=u2sin(180°-2α)g=u2sin2αg

As we can see, both are equal.

R1=R2

Therefore,

R1:R2=1:1

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

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