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Question

A wheel initially at rest, is rotated with a uniform angular acceleration. The wheel rotates through an angle θ1 in first one second and through an additional angle θ2 in the next one second. The ratio θ2/θ1 is:

A
4
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B
2
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C
3
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D
1
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Solution

The correct option is D 3
Angle revolved in 1 sec and 2 sec are θ1 and θ1+θ2 respectively.
Given: w1=0 using θ=12αt2
θ1=12α(1)2
θ1+θ2=12α(2)2
Solving we get, θ2=32α
Thus θ2θ1=3

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