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STD 11 - 5. work,energy,power and collision — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 5. work,energy,power and collision4 Marks
MCQ
A uniform chain (mass $M,$ length $L$) is released from rest from a smooth horizontal surface as shown in the figure. Velocity of the chain at the instant it completely comes out of the table will be
  • A
    $V=\sqrt {gL}$
  • ✓
    $V=\sqrt {\frac {3\,gL}{4}}$
  • C
    $V=\frac {1}{2} \sqrt {5\,gL}$
  • D
    $V=\frac {1}{2} \sqrt {gL}$
✓

Answer

Correct option: B.
$V=\sqrt {\frac {3\,gL}{4}}$
b
$\frac{1}{2}M{V^2} - Mg\frac{L}{2} =  - \frac{M}{2}.g.\frac{L}{4}$ (energy conservation)

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