Verified Solution • 2025–26 Session moderate

QJEEM22Ph913f: JEE Main 2022 Physics - Class 11 JEEM22Ph913f Solution: The velocity of the bullet becomes one third after it…

The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4 + x) cm inside the block. The value of x is :

Multiple Choice Options

  • A 2
  • B 1
  • C 0.5
  • D 1.5

Step-by-Step Verified Solution

S = 4 cm

v4′=v3v{'_4} = {v \over 3} , a = constant

v4+x=0{v_{4 + x}} = 0

(v2−v2a)=2a(4)\left( {{v^2} - {{{v^2}} \over a}} \right) = 2a(4)

(v2−0)=2a(4+x)({v^2} - 0) = 2a(4 + x)

44+x=89{4 \over {4 + x}} = {8 \over 9}

⇒x=0.5\Rightarrow x = 0.5 m

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