Verified Solution • 2025–26 Session moderate

QJEEM19Phdeca: JEE Main 2019 Physics - Class 11 JEEM19Phdeca Solution: A shell is fired from a fixed artillery gun with an initial…

A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t1 and t2 are the values of the time taken by it to hit the target in two possible ways, the product t1t2 is -

Multiple Choice Options

  • A 2Rg
  • B Rg
  • C R2g
  • D R4g

Step-by-Step Verified Solution

Range will be same for time t1 and t2, so angles of projection will be ‘θ’ & ‘90° – θ’

t1=2usin⁡θgt2=2usin⁡(90o−θ)g

and R=u2sin⁡2θg

t1t2=4u2sin⁡θcos⁡θg2=2g[2u2sin⁡θcos⁡θg]

= 2Rg

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