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A Block of mass m(1) = 1 kg and another...

A Block of mass `m_(1) = 1` kg and another mass `m_(2) = 2`kg are placed together (see figure) on an inclined plane with angle of inclination`theta` . Various values of `theta` are given in List I. The coefficient of friction between the block `m_(1)` and plane is always zero. The coefficient of static and dynamic friction between the block `m_(2)` and the plane are equal to `mu = 0.3` . In List II, expressions for the friction on the block `m_(2)` are given. Match the correct expression of the friction in List II with the angles given in List I, and choose the correct option. The acceleration due to gravity is denoted by g. Useful information : : `tan (6.5^(@)) ~~ 0.1, tan (11.5^(@)) ~~ 0.2 , tan (16.5^(@)) ~~ 0.3`
`{:("List - I", "List - II"),(p. theta - 5^(@),1.m_(2) g sin theta),(q. theta = 10^(@), 2. m_(1) + m_(2) g sin theta),(r. theta = 15^(@), 3. mu_(2) g cos theta),(s. theta - 20^(@), 4. mu m_(1) + m_(2) g cos theta):}`

A

P-1,Q-1,R-1,S-3

B

P-2,Q-2,R-2,S-3

C

P-2,Q-2,R-2,S-4

D

P-2,Q-2,R-3,S-3

Text Solution

Verified by Experts

The correct Answer is:
D
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