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Q.

A car wheel is rotated to uniform angular acceleration  about its axis. Initially, its angular velocity is zero. It rotates through an angle θ1 in the first 2 s. In the next 2 s, it rotates through an additional angle θ2 , the ratio of θ2θ1 is

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a

1

b

2

c

3

d

4

answer is C.

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Detailed Solution

α= constant ∴     θ=12αt2∵  θ∝t2or      θ2+θ1θ1=2+222=4 or θ2θ1=3
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A car wheel is rotated to uniform angular acceleration  about its axis. Initially, its angular velocity is zero. It rotates through an angle θ1 in the first 2 s. In the next 2 s, it rotates through an additional angle θ2 , the ratio of θ2θ1 is