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Q.

A disc of mass m and radius R is rolling without slipping on a horizontal fixed rough surface with tramlational velocity v as shown in the figure. Here L→0,L→pand ko,kp represents the angular momentum and kinetic energy about point O and P respectively: Match the physical quantities from List I with those in List II and select the correct answer using the code given below the lists.

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a

1

b

2

c

3

d

4

answer is C.

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Detailed Solution

L→any point =L→cm, that point +L→about CM (P)→32mvr(−k^)(Q)→mvR-k^K=12mvcm2+12Icmω2⇒ (R)→34mv2(S) = 12mv+v/22+1212mR2vR2=118mv2
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