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293 Questions Start Errorless Test
All Exams Allen Objective Errorless
JEE (Main) 2019 Q51 Errorless 14. Critical Thinking-Friction MCQ
Two blocks A and B of masses $m_{A}=1kg$ and $m_{B}=3kg$ are kept on the table as shown in figure. The coefficient of friction between A and B is 0.2 and between B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontally. So that the block A does not slide over the block B is [Take $g = 10m / s^2$ ]
A.
16 N
B.
40 N
C.
12 N
D.
8 N
JEE (Main) 2019 Q52 Errorless 14. Critical Thinking-Friction MCQ
A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F=20 N, making an angle of $30^{\circ}$ with the horizontal, as shown in the figures. The coefficient of friction between the block and floor is $\mu=0.2$ . The difference between the accelerations of the block, in case (B) and case (A) will be $(g=10\ ms^{-2})$

(A)

(B)
A.
$0ms^{-2}$
B.
$0.8ms^{-2}$
C.
$0.4ms^{-2}$
D.
$3.2ms^{-2}$
JEE (Main) 2018 Q53 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
The mass of a hydrogen molecule is $3.32 \times 10^{-27}$ kg. If $10^{23}$ hydrogen molecules strike, per second, a fixed wall of area $2 cm^{2}$ at an angle of $45^{\circ}$ to the normal, and rebound elastically with a speed of $10^{3}$ m/s, then the pressure on the wall is nearly
A.
$4.70 \times 10^{3}$ $N/m^{2}$
B.
$2.35 \times 10^{2}$ $N/m^{2}$
C.
$4.70 \times 10^{2}$ $N/m^{2}$
D.
$2.35 \times 10^{3}$ $N/m^{2}$
NEET 2018 Q54 Errorless 2. Kinetic Friction MCQ
Which one of the following statements is incorrect
A.
Rolling friction is smaller than sliding friction
B.
Limiting value of static friction is directly proportional to normal reactions
C.
Frictional force opposes the relative motion
D.
Coefficient of sliding friction has dimensions of length
NEET (Phase-II) 2016 Q55 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
A rigid ball of mass m strikes a rigid wall at $60^{\circ}$ and gets reflected without loss of speed as shown in the figure below. The value of impulse imparted by the wall in the ball will be
A.
$\frac{mV}{3}$
B.
mV
C.
2mV
D.
$\frac{mV}{2}$
WB-JEE 2016 Q56 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
An explosive of mass 9 kg is divided in two parts. One part of mass 3 kg moves with velocity of 16 m/s. The kinetic energy of other part will be
A.
192 J
B.
162 J
C.
150 J
D.
200 J
WB-JEE 2016 Q57 Errorless 1. Static and limiting friction MCQ
A mass m rests on another mass M. The co-efficient of static friction between B the surfaces of m and M is $\mu$ . M rests on a smooth frictionless horizontal plane. The maximum force applied horizontally on M for which m will move along with M without slipping is
A.
$mg + \mu mg$
B.
$(M + m)\mu g$
C.
$\frac{mM}{M + m}\mu g$
D.
$\mu mg$
NEET (Phase-I) 2016 Q58 Errorless 3. Motion on Inclined Surface MCQ
A car is negotiating a curved road of radius R. The road is banked at an angle $\theta$ . The coefficient of friction between the tyres of the car and the road is $\mu_{s}$ . The maximum safe velocity on this road is
A.
$\sqrt{gR^{2}\frac{\mu_{s}+\tan\theta}{1-\mu_{s}\tan\theta}}$
B.
$\sqrt{gR\frac{\mu_{s}+\tan\theta}{1-\mu_{s}\tan\theta}}$
C.
$\sqrt{\frac{g}{R}\frac{\mu_{s}+\tan\theta}{1-\mu_{s}\tan\theta}}$
D.
$\sqrt{\frac{g}{R^{2}}\frac{\mu_{s}+\tan\theta}{1-\mu_{s}\tan\theta}}$
WB-JEE 2015 Q59 Errorless 1. Static and limiting friction MCQ
Block B lying on a table weighs W. The coefficient of static friction between the block and the table is $\mu$ . Assume that the cord between and the knot is horizontal. The maximum weight of the block A for which the system will be stationary is
A.
$\frac{W\tan\theta}{\mu}$
B.
$\mu W\tan\theta$
C.
$\mu W\sqrt{1+\tan^{2}\theta}$
D.
$\mu W\sin\theta$
JEE (Main) 2015 Q60 Errorless 1. Static and limiting friction MCQ
Given in the figure are two blocks $A$ and $B$ of weight $20N$ and $100N$ , respectively. These are being pressed against a wall by a force $F$ as shown. If the coefficient of friction between the blocks is 0.1 and between block $B$ and the wall is 0.15, the frictional force applied by the wall on block $B$ is
A.
100 N
B.
80 N
C.
120 N
D.
150 N
AIPMT (Cancelled) 2015 Q61 Errorless 2. Kinetic Friction MCQ
A block $A$ of mass $m_{1}$ rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block $B$ of mass $m_{2}$ is suspended. The coefficient of kinetic friction between the block and the table is $\mu_{k}$ . When the block $A$ is sliding on the table, the tension in the string is
A.
$\frac{(m_2 - \mu km_1)g}{(m_1 + m_2)}$
B.
$\frac{m_1m_2(1 + \mu_k)g}{(m_1 + m_2)}$
C.
$\frac{m_1m_2(1 - \mu_k)g}{(m_1 + m_2)}$
D.
$\frac{(m_2 + \mu_km_1)g}{(m_1 + m_2)}$
AIPMT 2015 Q62 Errorless 3. Motion on Inclined Surface MCQ
A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches $30^{\circ}$ the box starts to slip and slides 4.0 m down the plank in 4.0s. The coefficients of static and kinetic friction between the box and the plank will be, respectively
A.
0.6 and 0.5
B.
0.5 and 0.6
C.
0.4 and 0.3
D.
0.6 and 0.6
GUJCET 2015 Q63 Errorless 3. Motion on Inclined Surface MCQ
An inclined plane of length 5.60 m making an angle of $45^{\circ}$ with the horizontal is placed in an uniform electric field $E = 100 V m^{-1}$ . A particle of mass 1 kg and charge $10^{-2} C$ is allowed to slide down from rest position from maximum height of slope. If the co-efficient of friction is 0.1, the time taken by the particle to reach the bottom is
A.
1 s
B.
1.41 s
C.
2 s
D.
None of these
CBSE PMT 2014 Q64 Errorless 8. Second Law of Motion MCQ
A balloon with mass m is descending down with an acceleration a (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration a
A.
$\frac{ma}{g+a}$
B.
$\frac{ma}{g-a}$
C.
$\frac{2ma}{g+a}$
D.
$\frac{2ma}{g-a}$
CBSE PMT 2014 Q65 Errorless 13. Graphical Questions MCQ
A body of mass 3kg is acted on by a force which varies as shown in the graph below. The momentum acquired is given by
A.
Zero
B.
$5N - s$
C.
30 N-s
D.
50 N-s
JEE (Main) 2014 Q66 Errorless 1. Static and limiting friction MCQ
A block of mass m is placed on a surface with a vertical cross section given by $y=\frac{x^{3}}{6}$ . If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is
A.
1/6 m
B.
2/3 m
C.
1/3 m
D.
1/2 m
WB-JEE 2013 Q67 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
A shell of mass $5M$ , acted upon by no external force and initially at rest, bursts into three fragments of masses $M$ , $2M$ and $2M$ respectively. The first two fragments move in opposite directions with velocities of magnitudes $2V$ and $V$ respectively. The third fragment will
A.
Move with a velocity $V$ in a direction perpendicular to the other two
B.
Move with a velocity $2V$ in the direction of velocity of the first fragment
C.
Be at rest
D.
Move with a velocity $V$ in the direction of velocity of the second fragment
NEET 2013 Q68 Errorless 12. Motion of Connected Bodies MCQ
Three blocks with masses m, 2m and 3m are connected by strings, as shown in figure. After an upward force F is applied on block m, the masses move upward at constant speed v. What is the net force on the block of mass 2m (g is the acceleration due to gravity)
A.
6 mg
B.
Zero
C.
2 mg
D.
3 mg
MP PET 2013 Q69 Errorless 3. Motion on Inclined Surface MCQ
A cylinder rolls up an inclined plane, reaches some height and then rolls down without slipping throughout these motions. The directions of the frictional force acting on the cylinder are
A.
Up the incline while ascending and down the incline while descending
B.
Up the incline while descending and down the incline while ascending
C.
Down the incline while ascending and descending
D.
Up the incline while ascending and descending
AMU (Engg.) 2012 Q70 Errorless 8. Second Law of Motion MCQ
A body of mass 0.4 kg starting at origin at t = 0 with a speed of 10 m/s in the positive x-axis direction is subjected to a constant force F = 8 N towards negative x-axis. Calculate the position of the particle after 25 seconds
A.
-6000 m
B.
-8000 m
C.
+4000 m
D.
+7000 m
Kerala PMT 2012 Q71 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
A batsman hits back a ball of mass 0.15kg straight in the direction of the bowler without changing its initial speed of $10ms^{-1}$ . If the ball moves linearly, then the impulse imparted on it (in Ns) is
A.
3.0
B.
2.0
C.
1.5
D.
1.9
E.
0
Kerala PET 2012 Q72 Errorless 11. Equilibrium of Forces MCQ
The sum of magnitudes of two forces acting at a point is 16 N and their resultant $8\sqrt{3}$ N is at $90^{\circ}$ with the force of smaller magnitude. The two forces (in N) are
A.
11, 5
B.
9, 7
C.
6, 10
D.
4, 12
E.
2, 14
WB-JEE 2012; AIPMT (Cancelled) 2015 Q73 Errorless 12. Motion of Connected Bodies MCQ
Three blocks A, B and C of masses 4 kg, 2 kg and 1 kg respectively, are in contact on a frictionless surface, as shown. If a force of 14 N is applied on the 4 kg block then the contact force between A and B is
A.
6N
B.
8N
C.
18N
D.
2N
J & K CET 2012 Q74 Errorless 12. Motion of Connected Bodies MCQ
Two blocks, of mass 1 kg and 2 kg respectively, are connected by a spring and kept on a frictionless table. The blocks are pulled apart, so that the spring is stretched, and released from rest. At a certain instant of time, the block of mass 1 kg, is found to be moving at a speed 2 m/s. What must be the speed of the other block at this instant
A.
1 m/s
B.
0.5 m/s
C.
4 m/s
D.
0.25 m/s
Kerala PET 2012 Q75 Errorless 12. Motion of Connected Bodies MCQ
A block of mass 10 kg is moving horizontally with a speed of $1.5 \, ms^{-1}$ on a smooth plane. If a constant vertical force 10 N acts on it, the displacement of the block from the point of application of the force at the end of 4 seconds is
A.
5 m
B.
20 m
C.
12 m
D.
10 m
E.
18 m