1
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A projectile is thrown with an initial velocity $$(a \hat{i}+b \hat{j}) \mathrm{m} / \mathrm{s}$$, where $$\hat{i}$$ and $$\hat{j}$$ are unit vectors along horizontal and vertical directions respectively. If the range of the projectile is twice the maximum height reached by it, then

A
$$\mathrm{b}=2 \mathrm{a}$$
B
$$\mathrm{b}=4 \mathrm{a}$$
C
$$\mathrm{b=\frac{a}{2}}$$
D
$$\mathrm{b}=\mathrm{a}$$
2
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$$2 \pi^2$$
B
$$4 \pi^2$$
C
$$8 \pi^2$$
D
$$\pi^2$$
3
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\omega_1$$ is angular velocity of hour hand of clock and $$\omega_2$$ is angular velocity of the earth, then the ratio $$\omega_1$$ : $$\omega_2$$ is

A
1 : 2
B
2 : 3
C
3 : 2
D
2 : 1
4
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

The angular displacement of body performing circular motion is given by $$\theta=5 \sin \frac{\pi t}{6}$$. The angular velocity of the body at $$t=3$$ second will be $$\left[\sin \frac{\pi}{2}=1, \cos \frac{\pi}{2}=0\right]$$

A
$$5 \frac{\mathrm{rad}}{\mathrm{s}}$$
B
$$1 \frac{\mathrm{rad}}{\mathrm{s}}$$
C
$$2.5 \frac{\mathrm{rad}}{\mathrm{s}}$$
D
zero $$\frac{\mathrm{rad}}{\mathrm{s}}$$
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