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293 Questions Start Errorless Test
All Exams Allen Objective Errorless
NEET 2024 Q1 Errorless 4. Critical Thinking MCQ
A horizontal force 10 N is applied to a block A as shown in figure. The mass of blocks A and B are 2 kg and 3 kg respectively. The blocks slide over a frictionless surface. The force exerted by block A on block B is
A.
Zero
B.
$4N$
C.
$6N$
D.
$10N$
JEE (Main) 2023 Q2 Errorless 4. Critical Thinking MCQ
Given below are two statements: Statement-I: ASn elevator can go up or dwon with uniform speed when its weight is balanced with the tensionn 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) 2023 Q3 Errorless 4. 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) 2023 Q4 Errorless 4. Critical Thinking MCQ
A block of $\sqrt{3}$ kg is attached to a string whose other end is attached to the wall. An unknown force F is applied so that the string makes an angle of $30^{\circ}$ with the wall. The tension T is (Given $g = 10 ms^{-2}$ )
A.
20 N
B.
25 N
C.
10 N
D.
15 N
JEE (Main) 2023 Q5 Errorless 4. Critical Thinking MCQ
A machine gun of mass 10kg fires 20g bullets at the rate of 180 bullets per minute with a speed of $100ms^{-1}$ each. The recoil velocity of the gun is
A.
0.02m/s
B.
2.5m/s
C.
1.5m/s
D.
0.6m/s
JEE (Main) 2023 Q6 Errorless 4. 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.
$\frac{mv}{100\,t}$
NEET 2023 Q7 Errorless 4. Critical Thinking MCQ
A football player is moving southward and suddenly turns eastward with the same speed to avoid opponent. The force that acts on the player while turning is
A.
Along northward
B.
Along north - east
C.
Along south - west
D.
Along eastward
NEET 2023 Q8 Errorless 4. Critical Thinking MCQ
A bullet from a gun is fired on a rectangular wooden block with velocity u. When bullet travels 24 cm through the block along its length horizontally, velocity of bullet becomes $\frac{u}{3}$ . Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is
A.
24 cm
B.
28 cm
C.
30 cm
D.
27 cm
JEE (Main) 2023 Q9 Errorless 14. 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.
0.5m
C.
3.2m
D.
0.8m
JEE (Main) 2023 Q10 Errorless 14. 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) 2023 Q11 Errorless 14. 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) 2023 Q12 Errorless 14. 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 Q13 Errorless 4. Critical Thinking MCQ
A block of mass M placed inside a box descends vertically with acceleration ā€˜aā€™. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of ā€˜aā€™ will be
A.
$\frac{g}{4}$
B.
$\frac{g}{2}$
C.
$\frac{3g}{4}$
D.
g
JEE (Main) 2022 Q14 Errorless 4. Critical Thinking MCQ
A body of mass M at rest explodes into three pieces, in the ratio of masses 1:1:2. Two smaller pieces fly off perpendicular to each other with velocities of $30 \, ms^{-1}$ and $40 \, ms^{-1}$ respectively. The velocity of the third piece will be
A.
$15 \, ms^{-1}$
B.
$25 \, ms^{-1}$
C.
$35 \, ms^{-1}$
D.
$50 \, ms^{-1}$
JEE (Main) 2022 Q15 Errorless 4. Critical Thinking MCQ
A person is standing in an elevator. In which situation, he experiences weight loss
A.
When the elevator moves upward with constant acceleration
B.
When the elevator moves downward with constant acceleration
C.
When the elevator moves upward with uniform velocity
D.
When the elevator moves downward with uniform velocity
JEE (Main) 2022 Q16 Errorless 4. Critical Thinking MCQ
Two billiard balls of mass 0.05 kg each moving in opposite directions with $10 \, ms^{-1}$ collide and rebound with the same speed. If the time duration of contact is t = 0.005s, then what is the force exerted on the ball due to each other
A.
100 N
B.
200 N
C.
300 N
D.
400 N
JEE (Main) 2022 Q17 Errorless 4. Critical Thinking MCQ
For a free body diagram shown in the figure, the four forces are applied in the 'x' and 'y' directions. What additional force must be applied and at what angle with positive x-axis so that the net acceleration of body is zero
A.
$\sqrt{2} N, 45^{\circ}$
B.
$\sqrt{2} N, 135^{\circ}$
C.
$\frac{2}{\sqrt{3}} N, 30^{\circ}$
D.
$2N, 45^{\circ}$
JEE (Main) 2022 Q18 Errorless 4. Critical Thinking MCQ
A balloon has mass of 10 g in air. The air escapes from the balloon at a uniform rate with velocity 4.5 cm/s. If the balloon shrinks in 5 s completely. Then, the average force acting on that balloon will be (in dyne)
A.
3
B.
9
C.
12
D.
18
NEET 2022 Q19 Errorless 4. Critical Thinking MCQ
A shell of mass m is at rest initially. It explodes into three fragments having mass in the ratio 2:2:1. If the fragments having equal mass fly off along mutually perpendicular directions with speed v, the speed of the third (lighter) fragment is
A.
$2\sqrt{2}v$
B.
$3\sqrt{2}v$
C.
v
D.
$\sqrt{2}v$
JEE (Main) 2022 Q20 Errorless 14. Critical Thinking-Friction MCQ
A block of mass 10kg starts sliding on a surface with an initial velocity of $9.8 \, ms^{-1}$ . The coefficient of friction between the surface and block is 0.5. The distance covered by the block before coming to rest is [use $g = 9.8 \, ms^{-2}$ ]
A.
4.9 m
B.
9.8 m
C.
12.5 m
D.
19.6 m
JEE (Main) 2022 Q21 Errorless 14. Critical Thinking-Friction MCQ
A bag is gently dropped on a conveyor belt moving at a speed of 2m/s. The coefficient of friction between the conveyor belt and bag is 0.4. Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is [Take $g = 10 \, m/s^{2}$ ]
A.
2 m
B.
0.5 m
C.
3.2 m
D.
0.8 m
JEE (Main) 2021 Q22 Errorless 4. Critical Thinking MCQ
Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an acceleration g/2, the time period of pendulum will be
A.
$\sqrt{3}T$
B.
$\frac{T}{\sqrt{3}}$
C.
$\sqrt{\frac{3}{2}}T$
D.
$\sqrt{\frac{2}{3}}T$
JEE (Main) 2021 Q23 Errorless 4. Critical Thinking MCQ
A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation $F = F_{0} \left[ 1 - \left( \frac{t - T}{T} \right)^{2} \right]$ Where $F_{0}$ and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is
A.
$2F_{0}T/M$
B.
$F_{0}T/2M$
C.
$4F_{0}T/3M$
D.
$F_{0}T/3M$
JEE (Main) 2021 Q24 Errorless 4. Critical Thinking MCQ
A force $\vec{F} = (40\hat{i} + 10\hat{j})N$ acts on a body of mass $5\mathrm{kg}$ . If the body starts from rest, its position vector $\vec{r}$ at time $t = 10s$ , will be
A.
$(100\hat{i} + 400\hat{j})m$
B.
$(100\hat{i} + 100\hat{j})m$
C.
$(400\hat{i} + 100\hat{j})m$
D.
$(400\hat{i} + 400\hat{j})m$
JEE (Main) 2021 Q25 Errorless 4. Critical Thinking MCQ
A steel block of 10kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinders go down with an acceleration $0.2m/s^{2}$ . The normal reaction $R'$ by the floor if mass of the iron cylinders are equal and of 20kg each, is ____ N [Take $g = 10m/s^{2}$ and $\mu_{s} = 0.2$ ] $a = 0.2m / s^{2}$
A.
716
B.
686
C.
714
D.
684