A particle (1) is projected with speed V from a point O making an angle of 30o with the vertical. At the same instant, a second particle (2) is thrown vertically upwards with velocity v from a point A. The two particles reach H, the highest point on the parabolic path of particle (1) simultaneously. The ratio of V/v is
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a
23
b
32
c
23
d
32
answer is A.
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Detailed Solution
Time taken by particle 1 to reach H is given byt=Vsin60∘g=3V2gTime taken by particle 2 reach H is given byt′=vgNow 3V2g=vg or Vv=23
A particle (1) is projected with speed V from a point O making an angle of 30o with the vertical. At the same instant, a second particle (2) is thrown vertically upwards with velocity v from a point A. The two particles reach H, the highest point on the parabolic path of particle (1) simultaneously. The ratio of V/v is