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293 Questions Start Errorless Test
All Exams Allen Objective Errorless
AIEEE 2005; NEET 2018 Q176 Errorless 11. Equilibrium of Forces MCQ
A block is kept on a frictionless inclined surface with angle of inclination ' $\alpha'$ . The incline is given an acceleration 'a' to keep the block stationary. Then a is equal to
A.
g
B.
$g\tan \alpha$
C.
$g / \tan \alpha$
D.
$g\csc \alpha$
AIIMS 2005; AMU (Engg.) 2012 Q177 Errorless 13. Graphical Questions MCQ
In the figure given below, the position-time graph of a particle of mass 0.1 kg is shown. The impulse at t = 2 sec is
A.
0.2 kg m sec $^{-1}$
B.
$-0.2\mathrm{kg}m\sec^{-1}$
C.
0.1 kg m sec $^{-1}$
D.
-0.4 kg m sec $^{-1}$
CBSE PMT 2004 Q178 Errorless 8. Second Law of Motion MCQ
A block of mass m is placed on a smooth wedge of inclination $\theta$ . The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block (g is acceleration due to gravity) will be
A.
mg cos $\theta$
B.
mg sin $\theta$
C.
mg
D.
mg / cos $\theta$
Pb. PET 2004 Q179 Errorless 9. Third Law of Motion MCQ
When a horse pulls a wagon, the force that causes the horse to move forward is the force
A.
The ground exerts on it
B.
It exerts on the ground
C.
The wagon exerts on it
D.
It exerts on the wagon
Kerala PMT 2004 Q180 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
An aircraft is moving with a velocity of $300ms^{-1}$ . If all the forces acting on it are balanced, then
A.
It still moves with the same velocity
B.
It will be just floating at the same point in space
C.
It will fall down instantaneously
D.
It will lose its velocity gradually
E.
It will explode
AIEEE 2004; Kerala PMT 2007 Q181 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
A machine gun fires a bullet of mass 40 g with a velocity $1200 \, ms^{-1}$ . The man holding it can exert a maximum force of 144 N on the gun. How many bullets can he fire per second at the most
A.
One
B.
Four
C.
Two
D.
Three
DCE 2004 Q182 Errorless 11. Equilibrium of Forces MCQ
If two forces of $5N$ each are acting along $X$ and $Y$ axes, then the magnitude and direction of resultant is
A.
$5\sqrt{2}, \pi/3$
B.
$5\sqrt{2}, \pi/4$
C.
$-5\sqrt{2}, \pi/3$
D.
$-5\sqrt{2}, \pi/4$
DPMT 2004 Q183 Errorless 1. Static and limiting friction MCQ
A lift is moving downwards with an acceleration equal to acceleration due to gravity. A body of mass m kept on the floor of the lift is pulled horizontally. If the coefficient of friction is $\mu$ , then the frictional resistance offered by the body is
A.
mg
B.
$\mu$ mg
C.
2 $\mu$ mg
D.
Zero
CBSE PMT 2004; Odisha PMT 2004 Q184 Errorless 1. Static and limiting friction MCQ
The coefficient of static friction, $\mu_{s}$ , between block $A$ of mass $2\mathrm{kg}$ and the table as shown in the figure is 0.2. What would be the maximum mass value of block $B$ so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless ( $g = 10m / s^2$ )
A.
2.0 kg
B.
4.0 kg
C.
0.2 kg
D.
0.4 kg
MP PMT 2004 Q185 Errorless 2. Kinetic Friction MCQ
A block of mass M=5 kg is resting on a rough horizontal surface for which the coefficient of friction is 0.2. When a force F=40 N is applied, the acceleration of the block will be $(g=10\ ms^{2})$
A.
$5.7 3 \mathrm{m} / \mathrm{sec} ^ {2}$
B.
$8.0 \mathrm{m} / \sec^ {2}$
C.
$3.1 7 m / \sec^ {2}$
D.
$1 0. 0 m / \sec^ {2}$
AIEEE 2004; KCET 2018 Q186 Errorless 3. Motion on Inclined Surface MCQ
A block 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 0.8. If the frictional force on the block is 10 N, the mass of the block (in kg) is (take $g = 10 \, m/s^{2}$ )
A.
2.0
B.
4.0
C.
1.6
D.
2.5
J & K CET 2004 Q187 Errorless 14. Critical Thinking-Friction 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
A.
$9.8N$
B.
$0.7 \times 9.8 \times \sqrt{3} N$
C.
$9.8 \times \sqrt{3} N$
D.
$0.8 \times 9.8N$
BHU 2004 Q188 Errorless 14. Critical Thinking-Friction MCQ
A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is $\mu$ . If the mass is pulled by a force P as shown in the figure, the limiting friction between body and surface will be
A.
$\mu mg$
B.
$\mu \left[mg + \left(\frac{P}{2}\right)\right]$
C.
$\mu \left[mg - \left(\frac{P}{2}\right)\right]$
D.
$\mu\left[mg-\left(\frac{\sqrt{3}P}{2}\right)\right]$
IIT-JEE (Screening) 2004 Q189 Errorless 14. Critical Thinking-Friction MCQ
A block P of mass m is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure. $\mu_{s}$ is the coefficient of friction between P and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q is
A.
kA
B.
$\frac{kA}{2}$
C.
Zero
D.
$\mu_{s}mg$
MP PMT 2003 Q190 Errorless 8. Second Law of Motion MCQ
If a bullet of mass 5 gm moving with velocity 100 m/sec, penetrates the wooden block upto 6 cm. Then the average force imposed by the bullet on the block is
A.
8300 N
B.
417 N
C.
830 N
D.
Zero
CBSE PMT 2003 Q191 Errorless 8. Second Law of Motion MCQ
A monkey of mass 20kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the rope (g=10 m/sĀ²)
A.
10 m/sĀ²
B.
25 m/sĀ²
C.
2.5 m/sĀ²
D.
5 m/sĀ²
Odisha JEE 2003 Q192 Errorless 8. Second Law of Motion MCQ
A plumb line is suspended from a ceiling of a car moving with horizontal acceleration of $a$ . What will be the angle of inclination with vertical
A.
$\tan^{-1}(a / g)$
B.
$\tan^{-1}(g / a)$
C.
$\cos^{-1}(a / g)$
D.
$\cos^{-1}(g / a)$
UPSEAT 2003 Q193 Errorless 8. Second Law of Motion MCQ
If in a stationary lift, a man is standing with a bucket full of water, having a hole at its bottom. The rate of flow of water through this hole is $R_{0}$ . If the lift starts to move up and down with same acceleration and then that rates of flow of water are $R_{u}$ and $R_{d}$ , then
A.
$R_{0} > R_{u} > R_{d}$
B.
$R_{u} > R_{0} > R_{d}$
C.
$R_{d} > R_{0} > R_{u}$
D.
$R_{u} > R_{d} > R_{0}$
AIEEE 2003; RPET 2003; Kerala PMT 2003; RPMT 2005 Q194 Errorless 8. Second Law of Motion MCQ
A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves downward with an acceleration of $5 \, m/s^{2}$ , the reading of the spring balance will be
A.
49 N
B.
24 N
C.
74 N
D.
15 N
AIEEE 2003 Q195 Errorless 9. Third Law of Motion MCQ
A light spring balance hangs from the hook of the other light spring balance and a block of mass $M$ kg hangs from the former one. Then the true statement about the scale reading is
A.
Both the scales read $M / 2 \, \text{kg}$ each
B.
Both the scales read $M \, \text{kg}$ each
C.
The scale of the lower one reads $M \, \text{kg}$ and of the upper one zero
D.
The reading of the two scales can be anything but the sum of the reading will be $M \, \text{kg}$
AIEEE 2003 Q196 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
A rocket with a lift-off mass $3.5 \times 10^{4}$ kg is blasted upwards with an initial acceleration of $10 \, m/s^{2}$ . Then the initial thrust of the blast is
A.
$1.75 \times 10^{5} \, N$
B.
$3.5 \times 10^{5} \, N$
C.
$7.0 \times 10^{5} \, N$
D.
$14.0 \times 10^{5} \, N$
Odisha JEE 2003 Q197 Errorless 11. Equilibrium of Forces MCQ
Which of the four arrangements in the figure correctly shows the vector addition of two forces $\overrightarrow{F_{1}}$ and $\overrightarrow{F_{2}}$ to yield the third force $\overrightarrow{F_{3}}$
A.
B.
C.
D.
AIEEE 2003 Q198 Errorless 11. Equilibrium of Forces MCQ
Three forces starts acting simultaneously on a particle moving with velocity $\vec{v}$ . These forces are represented in magnitude and direction by the three sides of a triangle ABC (as shown). The particle will now move with velocity
A.
$\vec{v}$ remaining unchanged
B.
Less than $\vec{v}$
C.
Greater than $\vec{v}$
D.
$\vec{v}$ in the direction of the largest force $BC$
KCET 2003; UPSEAT 2004 Q199 Errorless 11. Equilibrium of Forces MCQ
Which of the following groups of forces could be in equilibrium
A.
3 N, 4 N, 5 N
B.
4 N, 5 N, 10 N
C.
30 N, 40 N, 80 N
D.
1 N, 3 N, 5 N
AIEEE 2003; Odisha JFE 2003; WB-JEE 2010 Q200 Errorless 1. Static and limiting friction MCQ
A boy of mass 40 kg is climbing a vertical pole at a constant speed. If the coefficient of friction between his palms and the pole is 0.8 and $g = 10m/s^{2}$ , the horizontal force that he is applying on the pole is
A.
300 N
B.
400 N
C.
500 N
D.
600 N