1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle moves around a circular path of radius '$$r$$' with uniform speed '$$V$$'. After moving half the circle, the average acceleration of the particle is

A
$$\frac{\mathrm{V}^2}{\mathrm{r}}$$
B
$$\frac{2 V^2}{r}$$
C
$$\frac{2 V^2}{\pi r}$$
D
$$\frac{\mathrm{V}^2}{\pi \mathrm{r}}$$
2
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

On dry road, the maximum speed of a vehicle along a circular path is '$$V$$'. When the road becomes wet, maximum speed becomes $$\frac{\mathrm{V}}{2}$$. If coefficient of friction of dry road is '$$\mu$$' then that of wet road is

A
$$\frac{2 \mu}{3}$$
B
$$\frac{\mu}{4}$$
C
$$\frac{\mu}{3}$$
D
$$\frac{3 \mu}{4}$$
3
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A string of length '$$L$$' fixed at one end carries a body of mass '$$\mathrm{m}$$' at the other end. The mass is revolved in a circle in the horizontal plane about a vertical axis passing through the fixed end of the string. The string makes angle '$$\theta$$' with the vertical. The angular frequency of the body is '$$\omega$$'. The tension in the string is

A
$$\mathrm{mL}^2 \omega$$
B
$$\mathrm{mL} \omega^2$$
C
$$\frac{\omega^2}{\mathrm{~mL}}$$
D
$$\frac{\mathrm{m} \omega^2}{\mathrm{~L}}$$
4
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A stone is projected at angle $$\theta$$ with velocity $$u$$. If it executes nearly a circular motion at its maximum point for short time, then the radius of the circular path will be ( $$g=$$ acceleration due to gravity)

A
$$\frac{u^2}{g}$$
B
$$\frac{u^2 \cos ^2 \theta}{g}$$
C
$$\frac{u^2 \sin ^2 \theta}{g}$$
D
$$\frac{u^2 \cos ^2 \theta}{2 g}$$
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