MCQ
A wheel has angular acceleration of $3 .0\, rad/sec^2$ and an initial angular speed of $2.00\, rad/sec.$ In a time of $2\, sec$ it has rotated through an angle (in radian) of
- ✓$10$
- B$12$
- C$4$
- D$6$
${\omega _i} = 2\,rad/\sec $
Time $t = 2 \;sec$
Using, $\theta = {\omega _i}t + \frac{1}{2}\alpha {t^2}$
$\therefore \,\theta = 2 \times 2 + \frac{1}{2} \times 3 \times 4 $$= 4 + 6 = 10\,radian.$
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${y_1} = 0.05\,\cos \,\left( {0.50\,\pi x - 100\,\pi t} \right)$
${y_2} = 0.05\,\cos \,\left( {0.46\,\pi x - 92\,\pi t} \right)$
then velocity is..... $m/s$
| List $-I$ | List $-II$ |
| $(A)$ Moment of inertia of solid sphere of radius $(R)$ about any tangent | $(I)$ $\frac{5}{3} MR ^{2}$ |
| $(B)$ Moment of inertia of hollow sphere of radius $(R)$ about any tangent | $(II)$ $\frac{7}{5} MR ^{2}$ |
| $(C)$ Moment of inertia of circular ring of radius $(R)$ about its diameter. | $(III)$ $\frac{1}{4} MR ^{2}$ |
| $(D)$ Moment of inertia of circular disc of radius $(R)$ about any diameter. | $(IV)$ $\frac{1}{2} MR ^{2}$ |
Question: Choose the correct answer from the options given below