Q.

Three particles A, B and C are situated at the vertices of an equilateral triangle ABC of side  l at an instant. Each of the particle moves with a constant speed  υ. A always has it’s velocity along AB, B along BC and C along CA. physical quantities for each particle in this situation at this instant is enlisted in list I. Corresponding values (in SI units) is enlisted in list-II. (Take  l=2m ;  υ=3m/s)

List I

List II

I)Angular velocity of velocity vector (i.e. rate of rotation of velocity vector)P)1.3
II)Linear accelerationQ)0.97
III)Angular acceleration of velocity vectorR)2.3
IV)Radius of curvature of pathS)0.75

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a

IS,IIP,IIIR,IVQ

b

IS,IIR,IIIQ,IVP

c

IS,IIP,IIIQ,IVR

d

IS,IIQ,IIIR,IVP

answer is C.

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Detailed Solution

W=3v2l  :   a=Wv  ;   α=334v2l2;  υ=υ2a

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