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A uniform brass disc of radius a and mass m is set into spinning with angular speed `omega_0` about an axis passing through centre of disc and perpendicular to the palne of disc. If its temperature increases from `theta_1^@C` to `theta_2^@C` with out disturbing the disc, what will be its new angular speed ?A. `omega_0[1+2a(theta_2-theta_1)]`B. `omega_0[1+a(theta_2-theta_1)]`C. `(omega_0)/([1+2alpha(theta_2-theta_2)])`D. none of these |
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Answer» Correct Answer - C From the conservation priciple of angular momentum `L_i=L_f` `I_0omega_0=Iomega` Here, `I=I_0[1+2alpha(theta_2-theta_1)]` `omega=(I_0omega_0)/(I_0[1+2alpha(theta_2-theta_1)])=(omega_0)/([1+2alpha(theta_2-theta_1)])` |
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