1
NEET 2024 (Re-Examination)
+4
-1

Let $$\omega_1, \omega_2$$ and $$\omega_3$$ be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If $$x_1, x_2$$ and $$x_3$$ are their respective angular distances in 1 minute then the factor which remains constant $$(k)$$ is

A
$$\frac{\omega_1}{x_1}=\frac{\omega_2}{x_2}=\frac{\omega_3}{x_3}=k$$
B
$$\omega_1 x_1=\omega_2 x_2=\omega_3 x_3=k$$
C
$$\omega_1 x_1^2=\omega_2 x_2^2=\omega_3 x_3^2=k$$
D
$$\omega_1^2 x_1=\omega_2^2 x_2=\omega_3^2 x_3=k$$
2
NEET 2023 Manipur
+4
-1

A ball is projected from point A with velocity $$20 \mathrm{~m} \mathrm{~s}^{-1}$$ at an angle $$60^{\circ}$$ to the horizontal direction. At the highest point $$\mathrm{B}$$ of the path (as shown in figure), the velocity $$\mathrm{v} \mathrm{m} \mathrm{s}^{-1}$$ of the ball will be:

A
20
B
$$10 \sqrt{3}$$
C
Zero
D
10
3
NEET 2023 Manipur
+4
-1

A particle is executing uniform circular motion with velocity $$\vec{v}$$ and acceleration $$\vec{a}$$. Which of the following is true?

A
$$\vec{v}$$ is a constant; $$\vec{a}$$ is not a constant
B
$$\vec{v}$$ is not a constant; $$\vec{a}$$ is not a constant
C
$$\vec{v}$$ is a constant; $$\vec{a}$$ is a constant
D
$$\vec{v}$$ is not a constant; $$\vec{a}$$ is a constant
4
NEET 2023
+4
-1

A bullet is fired from a gun at the speed of $$280 \mathrm{~ms}^{-1}$$ in the direction $$30^{\circ}$$ above the horizontal. The maximum height attained by the bullet is

$$\left(g=9.8 \mathrm{~ms}^{-2}, \sin 30^{\circ}=0.5\right)$$:-

A
2000 m
B
1000 m
C
3000 m
D
2800 m
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