1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A body of mass $m$ is performing a UCM in a circle of radius $r$ with speed $v$. The work done by the centripetal force in moving it through $\left(\frac{2}{3}\right) \mathrm{rd}$ of the circular path is

A
zero
B
$m v^2 \pi r$
C
$\frac{2 \pi m v^2 r}{3}$
D
$\frac{2 m v^2 \pi}{3}$
2
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

In U.C.M., when time interval $\delta t \rightarrow 0$, the angle between change in velocity ( $\delta \mathbf{v}$ ) and linear velocity $(\boldsymbol{v})$ will be

A
$0^\circ$
B
$90^\circ$
C
$180^\circ$
D
$45^\circ$
3
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle is performing U.C.M. along the circumference of a circle of diameter 50 cm with frequency 2 Hz . The acceleration of the particle in $\mathrm{m} / \mathrm{s}^2$ is

A
$2 \pi^2$
B
$8 \pi^2$
C
$\pi^2$
D
$4 \pi^2$
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A stone of mass 1 kg is tied to a string 2 m long and it's rotated at constant speed of $40 \mathrm{~ms}^{-1}$ in a vertical circle. The ratio of the tension at the top and the bottom is [Take $g=10 \mathrm{~ms}^{-2}$]

A
$\frac{81}{79}$
B
$\frac{79}{81}$
C
$\frac{19}{12}$
D
$\frac{12}{19}$
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