# A particle moves in a circle of radius $$5$$ cm with constant speed and time period $$0.2\pi$$ s. The acceleration of the particle is: 1.  $$25$$ m/s2 2.   $$36$$ m/s2 3.   $$5$$ m/s2 4.   $$15$$ m/s2

Subtopic:  Circular Motion |
80%
From NCERT
AIPMT - 2011
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A body is moving with a velocity of $$30$$ m/s towards the east. After $$10$$ s, its velocity becomes $$40$$ m/s towards the north. The average acceleration of the body is:
1. $$7~\text{m/s}^2$$
2. $$\sqrt{7}~\text{m/s}^2$$
3. $$5~\text{m/s}^2$$
4. $$1~\text{m/s}^2$$

Subtopic:  Acceleration |
77%
From NCERT
AIPMT - 2011
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A missile is fired for a maximum range with an initial velocity of $$20$$ m/s. If $$g=10$$ m/s2, then the range of the missile will be:

 1 $$50$$ m 2 $$60$$ m 3 $$20$$ m 4 $$40$$ m
Subtopic:  Projectile Motion |
83%
From NCERT
AIPMT - 2011
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A particle starting from the origin $$(0,0)$$ moves in a straight line in the $$(x,y)$$ plane. Its coordinates at a later time are ($\sqrt{3}$, $$3).$$ The path of the particle makes an angle of __________ with the $$x$$-axis:
1. $$30^\circ$$
2. $$45^\circ$$
3. $$60^\circ$$
4. $$0$$

Subtopic:  Position & Displacement |
76%
From NCERT
AIPMT - 2007
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For a projectile projected at angles $$(45^{\circ}-\theta)$$ and $$(45^{\circ}+\theta)$$, the horizontal ranges described by the projectile are in the ratio of:
1. $$1:1$$
2. $$2:3$$
3. $$1:2$$
4. $$2:1$$

Subtopic:  Projectile Motion |
87%
From NCERT
AIPMT - 2006
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A car turns at a constant speed on a circular track of radius $$100$$ m, taking $$62.8$$ s for every circular lap. The average velocity and average speed for each circular lap, respectively, is:

 1 $$0,~0$$ 2 $$0,~10$$ m/s 3 $$10$$ m/s, $$10$$ m/s 4 $$10$$ m/s, $$0$$
Subtopic:  Speed & Velocity |
82%
From NCERT
AIPMT - 2006
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Two particles $$A$$ and $$B$$ are moving in a uniform circular motion in concentric circles of radii $$r_A$$ and $$r_B$$ with speeds $$v_A$$ and $$v_B$$ respectively. Their time periods of rotation are the same. The ratio of the angular speed of $$A$$ to that of $$B$$ will be:

 1 $$1: 1$$ 2 $$r_A: r_B$$ 3 $$v_A: v_B$$ 4 $$r_B: r_A$$
Subtopic:  Circular Motion |
79%
From NCERT
NEET - 2019
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A particle is projected with a speed $$u$$ at an angle $$\theta$$ to the horizontal. Radius of curvature at highest point of its trajectory is?
1. $$\frac{u^{2} \cos^{2} \theta}{2 g}$$
2. $$\frac{\sqrt{3} u^{2}\cos^{2} \theta}{2 g}$$
3. $$\frac{u^{2} \cos^{2} \theta}{g}$$
4. $$\frac{\sqrt{3} u^{2} \cos^{2} \theta}{g}$$

Subtopic:  Circular Motion |
From NCERT
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Figure below shows a body of mass $$M$$ moving with a uniform speed $$v$$ on a circular path of radius, $$R$$. What is the change in acceleration in going from $$P_1$$ to $$P_2$$

1. zero
2. $$v^{2} / 2 R$$
3. $$2 v^{2} / R$$
4. $$\frac{v^{2}}{R} \times \sqrt{2}$$

Subtopic:  Circular Motion |
From NCERT
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Three balls are thrown from the top of a building with equal speeds at different angles. When the balls strike the ground, their speeds are $$v_{1} , v_{2}$$ $$\text{and}$$ $$v_{3}$$ respectively, then:

1. $$v_{1} > v_{2} > v_{3}$$
2. $$v_{3} > v_{2} = v_{1}$$
3. $$v_{1} = v_{2} = v_{3}$$
4. $$v_{1} < v_{2} < v_{3}$$${}_{}$

Subtopic:  Projectile Motion |
74%
From NCERT
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