Verified Solution • 2025–26 Session moderate

QNEET-2013-Ph-1580: NEET 2013 Physics - Class 11 NEET-2013-Ph-1580 Solution: Two discs are rotating about their axes normal to the discs and …

Two discs are rotating about their axes normal to the discs and passing through the centres of the discs. Disc D1D_1 has 2 kg mass and 0.2 m radius and initial angular velocity of 50 rad s−150\ \text{rad s}^{-1}. Disc D2D_2 has 4 kg mass 0.1 m radius and initial angular velocity of 200 rad s−1200\ \text{rad s}^{-1}. The two discs are brought in contact face to face with their axes of rotation coincident. The final angular velocity (in rad s−1\text{rad s}^{-1}) of the system is 120 40 60 100

Multiple Choice Options

  • A 120
  • B 40
  • C 60
  • D 100

Step-by-Step Verified Solution

Given:m 1 = 2 kg m 2 = 4 kg r 1 = 0.2 m r 2 = 0.1 m w 1 = 50 rad s �1 w 2 = 200 rad s �1 As, angular momentum, I 1 W 1 = I 2 W 2 = Constant W f = I 1 W 1 + I 2 W 2 I 1 + I 2 = 1 2 m 1 r 1 2 w 1 + 1 2 m 2 r 2 2 w 2 1 2 m 1 r 1 2 + 1 2 m 2 r 2 2 By putting the value of m 1 , m 2 , r 1 , r 2 and solving we get = 100 rad s �1

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