Verified Solution • 2025–26 Session moderate

QAIPM-2012-Ph-1750: NEET 2012 Physics - Class 12 AIPM-2012-Ph-1750 Solution: ABC is an equilateral triangle with O as its centre. \( {F}_1…

ABC is an equilateral triangle with O as its centre. F⃗1F⃗2\vec{F}_1 \vec{F}_2 and F⃗3\vec{F}_3 represent three forces acting along the sides AB BC and AC respectively. If the total torque about O is zero then magnitude of F⃗3\vec{F}_3 is F1+F2F_1+F_2 F1−F2F_1-F_2 F1+F22\frac{F_1+F_2}{2} 2(F1+F2)2(F_1+F_2)

Multiple Choice Options

  • A 60 s
  • B 80 s
  • C 20 s
  • D 40 s

Step-by-Step Verified Solution

Let, the amount of the two in the mixture will become equal after t years. The amount of A 1 , which remains after t years N 1 = N 01 ( 2 ) t / 20 The amount of A 2 , which remains, after t years N 2 = N 02 ( 2 ) t / 10 According to the question N 1 = N 2 _ 40 ( 2 ) t / 20 = 160 ( 2 ) t / 10 _ ( 2 ) t / 20 = ( 2 ) ( t 10 _ 2 ) _ t 20 = ( t 10 _ 2 ) _ t = 40 s

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