iCON Education - Laws of Motion JEE Advanced Test

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Student

Exam Name

JEE Advanced

Test Name

Laws of Motion

Subject

Physics

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Question 1: Palette 1/28

JEE Advanced 2023 MCQ

A particle of mass $m$ is moving in the $x y$-plane such that its velocity at a point $(x, y)$ is given as $\overrightarrow{\mathrm{v}}=\alpha(y \hat{x}+2 x \hat{y})$, where $\alpha$ is a non-zero constant. What is the force $\vec{F}$ acting on the particle?

$\vec{F}=2 m \alpha^2(x \hat{x}+y \hat{y})$

$\vec{F}=m \alpha^2(y \hat{x}+2 x \hat{y})$

$\vec{F}=2 m \alpha^2(y \hat{x}+x \hat{y})$

$\vec{F}=m \alpha^2(x \hat{x}+2 y \hat{y})$

Question 2: Palette 2/28

JEE Advanced 2020 MCQ

A football of radius R is kept on a hole of radius r (r < R) made on a plank kept horizontally. One end of the plank is now lifted so that it gets tilted making an angle $\theta $ from the horizontal as shown in the figure below. The maximum value of $\theta $ so that the football does not start rolling down the plank satisfies (figure is schematic and not drawn to scale) JEE Advanced 2020 Paper 1 Offline Physics - Laws of Motion Question 18 English

JEE Advanced 2020 Paper 1 Offline Physics - Laws of Motion Question 18 English

sin $\theta $ = ${r \over R}$

tan $\theta $ = ${r \over R}$

sin $\theta $ = ${r \over {2R}}$

cos $\theta $ = ${r \over {2R}}$

Question 4: Palette 4/28

JEE Advanced 2014 MCQ

A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the below figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from A to B, the force it applies on the wire is

JEE Advanced 2014 Paper 2 Offline Physics - Laws of Motion Question 11 English

always radially outwards.

always radially inwards.

radially outwards initially and radially inwards later.

radially inwards initially and radially outwards later.

Question 5: Palette 5/28

JEE Advanced 2014 MCQ

A block of mass m₁ = 1 kg another mass m₂ = 2 kg, are placed together (see figure) on an inclined plane with angle of inclination $\theta$. Various values of $\theta$ are given in List I. The coefficient of friction between the block m₁ and the plane is always zero. The coefficient of static and dynamic friction between the block m₂ and the plane are equal to $\mu$ = 0.3. In List II expressions for the friction on the block m₂ are given. Match the correct expression of the friction in List II with the angles given in List I, and choose the correct option. The acceleration due to gravity is denoted by g.

[Useful information : tan (5.5$^\circ$) $\approx$ 0.1; tan (11.5$^\circ$) $\approx$ 0.2; tan (16.5$^\circ$) $\approx$ 0.3]

JEE Advanced 2014 Paper 2 Offline Physics - Laws of Motion Question 12 English

List I		List II
P.	$\theta = 5^\circ $	1.	${m_2}g\sin \theta $
Q.	$\theta = 10^\circ $	2.	$({m_1} + {m_2})g\sin \theta $
R.	$\theta = 15^\circ $	3.	$\mu {m_2}g\cos \theta $
S.	$\theta = 20^\circ $	4.	$\mu ({m_1} + {m_2})g\cos \theta $

P-1, Q-1, R-1, S-3

P-2, Q-2, R-2, S-3

P-2, Q-2, R-2, S-4

P-2, Q-2, R-3, S-3

Question 7: Palette 7/28

JEE Advanced 2012 MSQ

A small block of mass 0.1 kg lies on a fixed inclined plane PQ which makes an angle $\theta$ with the horizontal. A horizontal force of 1 N acts on the block through its centre of mass as shown in the figure. The block remains stationary if (take g = 10 m/s²)

IIT-JEE 2012 Paper 1 Offline Physics - Laws of Motion Question 10 English

$\theta$ = 45$^\circ$

$\theta$ > 45$^\circ$ and a frictional force ats on the block towards P.

$\theta$ > 45$^\circ$ and a frictional force ats on the block towards Q.

$\theta$ < 45$^\circ$ and a frictional force ats on the block towards Q.

Question 8: Palette 8/28

JEE Advanced 2011 MCQ

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in radian/s) is

IIT-JEE 2011 Paper 1 Offline Physics - Laws of Motion Question 27 English

Question 9: Palette 9/28

JEE Advanced 2010 MCQ

A block of mass m is on an inclined plane of angle θ. The coefficient of friction between the block and the plane is μ and tan θ > μ. The block is held stationary by applying a force P parallel to the plane. The direction of force pointing up the plane is taken to be positive. As P is varied from P₁ = mg(sinθ − μ cosθ) to P₂ = mg(sinθ + μ cosθ), the frictional force f versus P graph will look like

IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 28 English

IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 28 English Option 1

IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 28 English Option 2

IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 28 English Option 3

IIT-JEE 2010 Paper 1 Offline Physics - Laws of Motion Question 28 English Option 4

Question 11: Palette 11/28

JEE Advanced 2009 MCQ

A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The coefficient of friction between them is $\sqrt 3 $. The inclination θ of this inclined plane from the horizontal plane is gradually increased from $0^\circ $. Then

at θ = $60^\circ $, the block will start sliding down the plane

the block will remain at rest on the plane up to certain θ and then it will topple

at θ = $60^\circ $, the block will start sliding down the plane and continue to do so at higher angles

at θ = $60^\circ $, the block will start sliding down the plane and on further increasing θ, it will topple at certain θ

Question 12: Palette 12/28

JEE Advanced 2008 MCQ

STATEMENT 1 : It is easier to pull a heavy object than to push it on a level ground.

and

STATEMENT 2 : The magnitude of frictional force depends on the nature of the two surfaces in contact.

Statement 1 is True, Statement 2 is True; Statement 2 is a CORRECT explanation for Statement 1

Statement 1 is True, Statement 2 is True; Statement 2 is a NOT CORRECT explanation for Statement 1

Statement 1 is True, Statement 2 is False

Statement 1 is False, Statement 2 is True

Question 13: Palette 13/28

JEE Advanced 2008 MCQ

The speed of the block at point B immediately after it strikes the second incline is

$\sqrt{60}$ m/s

$\sqrt{45}$ m/s

$\sqrt{30}$ m/s

$\sqrt{75}$ m/s

Question 14: Palette 14/28

JEE Advanced 2008 MCQ

The speed of the block at point C, immediately before it leaves the second incline is

$\sqrt{120}$ m/s

$\sqrt{105}$ m/s

$\sqrt{90}$ m/s

$\sqrt{75}$ m/s

Question 15: Palette 15/28

JEE Advanced 2007 MCQ

A particle moves in the X - Y plane under the influence of a force such that its linear momentum is $\overrightarrow p \left( t \right) = A\left[ {\widehat i\cos (kt) - \widehat j\sin (kt)} \right]$, where A and k are constants. The angle between the force and the momentum is

$0^\circ $

$30^\circ $

$45^\circ $

$90^\circ $

Question 16: Palette 16/28

JEE Advanced 2007 MCQ

STATEMENT 1

A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table.

STATEMENT 2

For every action there is an equal and opposite reaction.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1s.

Statement-1 is True, Statement-2 is False.

Statement-1 is False, Statement-2 is True.

Question 18: Palette 18/28

JEE Advanced 2006 MCQ

Two blocks A and B of masses $2 m$ and $m$, respectively, are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively,

IIT-JEE 2006 Physics - Laws of Motion Question 2 English

$g, g / 2$

$g / 2, g$

$g, g$

$\frac{g}{2}, \frac{g}{2}$

Question 19: Palette 19/28

JEE Advanced 2001 MCQ

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta $ should be IIT-JEE 2001 Screening Physics - Laws of Motion Question 23 English

IIT-JEE 2001 Screening Physics - Laws of Motion Question 23 English

$0^\circ $

$30^\circ $

$45^\circ $

$60^\circ $

Question 20: Palette 20/28

JEE Advanced 1994 MCQ

A block of mass 0.1 is held against a wall applying a horizontal force of 5 N on the block. If the coefficient of friction between the block and the wall is 0.5, the magnitude of the frictional force acting on the block is:

2.5 N

0.98 N

4.9 N

0.49 N

Question 21: Palette 21/28

JEE Advanced 1986 MSQ

A reference frame attached to the earth

is an inertial frame by definition

cannot be an inertial frame because the earth is revolving around the sun

is an inertial frame because Newton's laws are applicable in this frame

cannot be an inertial frame because the earth rotating about its own axis

Question 26: Palette 26/28

JEE Advanced 1980 MCQ

A block of mass 2 kg rests on a rough inclined plane making an angle of $30^\circ $ with the horizontal. The coefficient of static friction between the block and the plane is 0.7. The frictional force on the block is

9.8 N

0.7$ \times $9.8$ \times $$\sqrt 3 $ N

9.8$ \times $$\sqrt 3 $ N

0.7$ \times $9.8

Question 27: Palette 27/28

JEE Advanced 1980 MCQ

A ship of mass 3 $ \times $ 10⁷ kg initially at rest, is pulled by a force of 5 $ \times $ 10⁴ N through a distance of 3 m. Assuming that the resistance due to water is negligible, the speed of the ship is

1.5 m/s

60 m/s

0.1 m/s

5 m/s

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