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JEE (Main) 2023 Q26 Allen JEE Main PYQ MCQ
As shown in the figure a block of mass 10 kg lying on a horizontal surface is pulled by a force F acting at an angle $30^{\circ}$ , with horizontal. For $\mu_{s} = 0.25$ , the block will just start to move for the value of F: [Given g = 10 ms $^{-2}$ ]
A.
$33.3N$
B.
$25.2N$
C.
$20N$
D.
$35.7N$
JEE (Main) 2023 Q27 Allen JEE Main PYQ MCQ
Consider a block kept on an inclined plane (inclined at $45^{\circ}$ ) as shown in the figure. If the force required to just push it up the incline is 2 times the force required to just prevent it from sliding down, the coefficient of friction between the block and inclined plane ( $\mu$ ) is equal to :
A.
0.33
B.
0.60
C.
0.25
D.
0.50
JEE (Advanced) 2023 Q28 Allen JEE Advanced PYQ MCQ
A particle of mass m is moving in the xy-plane such that its velocity at a point $(x, y)$ is given as $\vec{v} = \alpha(y\hat{x} + 2x\hat{y})$ , where $\alpha$ is a non-zero constant. What is the force $\vec{F}$ acting on the particle?
A.
$\vec{F} = 2m\alpha^{2}(x\hat{x} +y\hat{y})$
B.
$\vec{F} = m\alpha^{2}(y\hat{x} + 2x\hat{y})$
C.
$\vec{F} = 2m\alpha^{2}(y\hat{x} +x\hat{y})$
D.
$\vec{F} = m\alpha^{2}(x\hat{x} + 2y\hat{y})$
JEE (Main) Jan. 2023 Q29 Errorless Critical Thinking MCQ
Given below are two statements: Statement-I: An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable. Statement-II : Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed. In the light of the above statements, choose the correct answer from the options given below
A.
If both assertion and reason are true and the reason is the correct explanation of the assertion.
B.
If both assertion and reason are true but reason is not the correct explanation of the assertion.
C.
If assertion is true but reason is false.
D.
If the assertion and reason both are false.
E.
If assertion is false but reason is true.
JEE (Main) Jan. 2023 Q30 Errorless Critical Thinking MCQ
As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if $g = 10m/s^{2}$ )
A.
$(4\sqrt{3} +1)N$
B.
$4(\sqrt{3} +1)N$
C.
$4(\sqrt{3} -1)N$
D.
$(4\sqrt{3} -1)N$
JEE (Main) Jan. 2023 Q31 Errorless Critical Thinking MCQ
A car is moving with a constant speed of $20m/s$ in a circular horizontal track of radius $40m$ . A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be $(Take g = 10m/s^2)$
A.
$\frac{\pi}{6}$
B.
$\frac{\pi}{2}$
C.
$\frac{\pi}{4}$
D.
$\frac{\pi}{3}$
JEE (Main) Jan. 2023 Q32 Errorless Critical Thinking MCQ
Force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases and then body describes 50 m in the next 10 s. The value of force will be
A.
40 N
B.
5 N
C.
20 N
D.
10 N
JEE (Main) Jan. 2023 Q33 Errorless Critical Thinking MCQ
A machine gun of mass 10 kg fires 20 g bullets at the rate of 180 bullets per minute with a speed of $100 \, ms^{-1}$ each. The recoil velocity of the gun is
A.
0.02 m/s
B.
2.5 m/s
C.
1.5 m/s
D.
0.6 m/s
JEE (Main) Jan. 2023 Q34 Errorless Critical Thinking MCQ
As shown in figure, a 70 kg garden roller is pushed with a force of $\vec{F} = 200 N$ at an angle of $30^{\circ}$ with horizontal. The normal reaction on the roller is (Given $g = 10 ms^{-2}$ )
A.
$800\sqrt{2} N$
B.
$600N$
C.
$800N$
D.
$200\sqrt{3} N$
JEE (Main) Jan. 2023 Q35 Errorless Critical Thinking MCQ
100 balls each of mass m moving with speed v simultaneously strike a wall normally and reflected back with same speed, in time t s. The total force exerted by the balls on the wall is
A.
$\frac{100\,mv}{t}$
B.
$\frac{200\,mv}{t}$
C.
200 mvt
D.
$\frac{mv}{100\,t}$
JEE (Main) Jan. 2023 Q36 Errorless Critical Thinking MCQ
A stone of mass 1kg is tied to end of a massless string of length 1m. If the breaking tension of the string is 400N, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is
A.
$20ms^{-1}$
B.
$40ms^{-1}$
C.
$400ms^{-1}$
D.
$10ms^{-1}$
JEE (Main) April 2023 Q37 Errorless Critical Thinking MCQ
Three force $F_{1}=10N, F_{2}=8N, F_{3}=6N$ are acting on a particle of mass 5 kg. The forces $F_{2}$ and $F_{3}$ are applied perpendicular so that particle remains at rest. If the force $F_{1}$ is removed, then the acceleration of the particle is
A.
$2\ ms^{-2}$
B.
$0.5\ ms^{-2}$
C.
$4.8\ ms^{-2}$
D.
$7\ ms^{-2}$
JEE (Main) April 2023 Q38 Errorless Critical Thinking MCQ
At any instant the velocity of a particle of mass 500 g is $(2t\hat{i}+3t^{2}\hat{j})ms^{-1}$ . If the force acting on the particle at t=1s is $(\hat{i}+x\hat{j})N$ . Then the value of x will be
A.
3
B.
4
C.
6
D.
2
JEE (Main) April 2023 Q39 Errorless Critical Thinking MCQ
A body of mass 500 g moves along x-axis such that it's velocity varies with displacement x according to the relation $v = 10\sqrt{x} \, m/s$ , the force acting on the body is
A.
166 N
B.
25 N
C.
125 N
D.
5 N
JEE (Main) April 2023 Q40 Errorless Critical Thinking MCQ
An average force of 125 N is applied on a machine gun firing bullets each of mass 10 g at the speed of 250 m/s to keep it in position. The number of bullets fired per second by the machine gun is
A.
5
B.
50
C.
100
D.
25
JEE (Main) April 2023 Q41 Errorless Critical Thinking MCQ
A bullet 10 g leaves the barrel of gun with a velocity of 600 m/s. If the barrel of gun is 50 cm long and mass of gun is 3 kg, then value of impulse supplied to the gun will be
A.
12 Ns
B.
6 Ns
C.
36 Ns
D.
3 Ns
JEE (Advanced) 2023 Q42 Errorless Critical Thinking MCQ
A particle of mass m is moving in the xy-plane such that its velocity at a point $(x, y)$ is given as $\vec{v} = \alpha(y\hat{x} + 2x\hat{y})$ , where $\alpha$ is a non-zero constant. What is the force $\vec{F}$ acting on the particle
A.
$\vec{F} = 2m\alpha^{2}(x\hat{x} + y\hat{y})$
B.
$\vec{F} = m\alpha^{2}(y\hat{x} + 2x\hat{y})$
C.
$\vec{F} = 2m\alpha^{2}(y\hat{x} + x\hat{y})$
D.
$\vec{F} = m\alpha^{2}(x\hat{x} + 2y\hat{y})$
JEE (Main) Jan. 2023 Q43 Errorless Graphical Questions MCQ
The figure represents the momentum time $(p-t)$ curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum respectively. If $(t_{3}-t_{2})
A.
c and a
B.
b and c
C.
c and b
D.
a and b
JEE (Main) Jan. 2023 Q44 Errorless Critical Thinking-friction MCQ
Consider a block kept on an inclined plane (inclined at $45^{\circ}$ ) as shown in the figure. If the force required to just push it up the incline is 2 times the force required to just prevent it from sliding down, the coefficient of friction between the block and inclined plane ( $\mu$ ) is equal to
A.
0.33
B.
0.60
C.
0.25
D.
0.50
JEE (Main) Jan. 2023 Q45 Errorless Critical Thinking-friction MCQ
A block of mass m slides down the plane inclined at angle $30^{\circ}$ with an acceleration $\frac{g}{4}$ . The value of coefficient of kinetic friction will be
A.
$\frac{2\sqrt{3}+1}{2}$
B.
$\frac{1}{2\sqrt{3}}$
C.
$\frac{\sqrt{3}}{2}$
D.
$\frac{2\sqrt{3}-1}{2}$
JEE (Main) Jan. 2023 Q46 Errorless Critical Thinking-friction MCQ
A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34 [Take $g = 10 ms^{-2}$ ]
A.
$3.4 ms^{-1}$
B.
$22.4 ms^{-1}$
C.
$13 ms^{-1}$
D.
$17 ms^{-1}$
JEE (Main) Jan. 2023 Q47 Errorless Critical Thinking-friction MCQ
The time taken by an object to slide down $45^{\circ}$ rough inclined plane is n times as it takes to slide down a perfectly smooth $45^{\circ}$ incline place. The coefficient of kinetic friction between the object and the incline plane is
A.
$\sqrt{\frac{1}{1-n^{2}}}$
B.
$\sqrt{1-\frac{1}{n^{2}}}$
C.
$1+\frac{1}{n^{2}}$
D.
$1-\frac{1}{n^{2}}$
JEE (Main) Jan. 2023 Q48 Errorless Critical Thinking-friction MCQ
A body of mass 10kg is moving with an initial speed of 20m/s. The body stops after 5s due to friction between body and the floor. The value of the coefficient of friction is (Take acceleration due to gravity $g = 10ms^{-2}$ )
A.
0.2
B.
0.3
C.
0.5
D.
0.4
JEE (Main) Jan. 2023 Q49 Errorless Critical Thinking-friction MCQ
A block of mass $5kg$ is placed at rest on a table of rough surface. Now, if a force of $30N$ is applied in the direction parallel to surface of the table, the block slides through a distance of $50m$ in an interval of time $10s$ . Coefficient of kinetic friction is (given, $g = 10ms^{-2}$ )
A.
0.60
B.
0.75
C.
0.50
D.
0.25
JEE (Main) 2022 Q50 Allen JEE Main PYQ MCQ
In the arrangement shown in figure $a_{1}, a_{2}, a_{3}$ and $a_{4}$ are the accelerations of masses $m_{1}, m_{2}, m_{3}$ and $m_{4}$ respectively. Which of the following relation is true for this arrangement?
A.
$4a_{1} + 2a_{2} + a_{3} + a_{4} = 0$
B.
$a_1 + 4a_2 + 3a_3 + a_4 = 0$
C.
$a_{1} + 4a_{2} + 3a_{3} + 2a_{4} = 0$
D.
$2a_{1} + 2a_{2} + 3a_{3} + a_{4} = 0$