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QNEET-2023-Ph-261: NEET 2023 Physics - Class 11 NEET-2023-Ph-261 Solution: A bullet from a gun is fired on a rectangular wooden block with …

A bullet from a gun is fired on a rectangular wooden block with velocity u. When bullet travels 24 cm through the block along its length horizontally velocity of bullet becomes u3\frac{u}{3}. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is: 24 cm 28 cm 30 cm 27 cm

Multiple Choice Options

  • A 24 cm24 \mathrm{~cm} 24   cm
  • B 28 cm28 \mathrm{~cm} 28   cm
  • C 30 cm30 \mathrm{~cm} 30   cm
  • D 27 cm27 \mathrm{~cm} 27   cm

Step-by-Step Verified Solution

B y v 2 = u 2 + 2 a s ( u 3 ) 2 = u 2 _ 2 a x 2 a x = u 2 _ u 2 9 2 ax = 8 u 2 9 ..... (1) Similarly from starting v 2 = u 2 + 2 a x 0 = u 2 _ 2 a x 2 2 ax 2 = u 2 ..... (2) By   ( 1 ) / ( 2 ) x x 2 = 8 9 24 x 2 = 8 9 x 2 = 27   cm

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