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293 Questions Start Errorless Test
All Exams Allen Objective Errorless
AFMC 2001 Q226 Errorless 7. First law of Motion MCQ
A particle is moving with a constant speed along a straight line path. A force is not required to
A.
Increase its speed
B.
Decrease the momentum
C.
Change the direction
D.
Keep it moving with uniform velocity
CBSE PMT 2001; BHU 2001; Kerala PET 2005; AIEEE 2006 Q227 Errorless 8. Second Law of Motion MCQ
A player caught a cricket ball of mass 150 gm moving at the rate of 20 m/sec. If the catching process be completed in 0.1 sec the force of the blow exerted by the ball on the hands of player is
A.
0.3 N
B.
30 N
C.
300 N
D.
3000 N
AIIMS 2001; Odisha JEE 2002; AMU (Engg.) 2012 Q228 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
A gun fires a bullet of mass 50 g with a velocity of $30msec^{-1}$ . Because of this the gun is pushed back with a velocity of $1msec^{-1}$ . The mass of the gun is
A.
15 kg
B.
30 kg
C.
1.5 kg
D.
20 kg
DPMT 2001; Pb. PMT 2002; MP PMT 2004; Odisha JEE 2005 Q229 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
A diwali rocket is ejecting 0.05 kg of gases per second at a velocity of 400 m/sec. The accelerating force on the rocket is
A.
20 dynes
B.
20 N
C.
22 dynes
D.
1000 N
IIT-JEE 2001 Q230 Errorless 4. Critical Thinking 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
A.
$0^{\circ}$
B.
$30^{\circ}$
C.
$45^{\circ}$
D.
$60^{\circ}$
IIT-JEE 2001 Q231 Errorless 4. Critical Thinking MCQ
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by
A.
$\sqrt{2} Mg$
B.
$\sqrt{2} mg$
C.
$\sqrt{(M + m)^2 + m^2} g$
D.
$\sqrt{(M + m)^2 + M^2} g$
CBSE PMT 2001 Q232 Errorless 2. Kinetic Friction MCQ
On the horizontal surface of a truck ( $\mu = 0.6$ ), a block of mass 1 kg is placed. If the truck is accelerating at the rate of $5m/sec^{2}$ then frictional force on the block will be
A.
5 N
B.
6 N
C.
5.88 N
D.
8 N
CBSE PMT 2001; MP PMT 2009 Q233 Errorless 2. Kinetic Friction MCQ
A vehicle of mass m is moving on a rough horizontal road with momentum P. If the coefficient of friction between the tyres and the road be $\mu$ , then the stopping distance is
A.
$\frac{P}{2\mu mg}$
B.
$\frac{P^{2}}{2\mu mg}$
C.
$\frac{P}{2\mu m^{2}g}$
D.
$\frac{P^{2}}{2\mu m^{2}g}$
EAMCET 2001 Q234 Errorless 2. Kinetic Friction MCQ
A body of weight 64 N is pushed with just enough force to start it moving across a horizontal floor and the same force continues to act afterwards. If the coefficients of static and dynamic friction are 0.6 and 0.4 respectively, the acceleration of the body will be (Acceleration due to gravity = g)
A.
$\frac{g}{6.4}$
B.
0.64 g
C.
$\frac{g}{32}$
D.
0.2 g
IIT-JEE 2001 Q235 Errorless 14. Critical Thinking-Friction MCQ
An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha$ with the vertical, the maximum possible value of $\alpha$ is given by
A.
$\cot \alpha = 3$
B.
$\tan \alpha = 3$
C.
$\sec \alpha = 3$
D.
$\operatorname{cosec} \alpha = 3$
EAMCET (Med.) 2000; Odisha JEE 2008 Q236 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
A gun of mass 10kg fires 4 bullets per second. The mass of each bullet is 20 g and the velocity of the bullet when it leaves the gun is 300 ms $^{-1}$ . The force required to hold the gun while firing is
A.
6 N
B.
8 N
C.
24 N
D.
240 N
CBSE PMT 2000; Odisha JEE 2002; AIEEE 2004; Kerala PET 2005 Q237 Errorless 12. Motion of Connected Bodies MCQ
Two masses of 5kg and 10kg are connected to a pulley as shown. What will be the acceleration of the system (g = acceleration due to gravity)
A.
g
B.
$\frac{g}{2}$
C.
$\frac{g}{3}$
D.
$\frac{g}{4}$
AMU (Engg.) 2000; Kerala PET 2010 Q238 Errorless 12. Motion of Connected Bodies MCQ
Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. A force F applied on the upper string produces an acceleration of $2m/s^{2}$ in the upward direction in both the blocks. If T and $T'$ be the tensions in the two parts of the string, then $(g = 9.8\ m/s^{2})$
A.
T = 70.8N and $T' = 47.2N$
B.
T = 58.8N and $T' = 47.2N$
C.
T = 70.8N and $T' = 58.8N$
D.
T = 70.8N and $T' = 0$
MP PET 2000;J & K CET 2006; Odisha JEE 2009 Q239 Errorless 1. Static and limiting friction MCQ
A block of mass 2 kg is kept on the floor. The coefficient of static friction is 0.4. If a force F of 2.5 Newtons is applied on the block as shown in the figure, the frictional force between the block and the floor will be
A.
2.5N
B.
5N
C.
7.84N
D.
10N
Pb. PMT 2000; NEET 2013 Q240 Errorless 3. Motion on Inclined Surface MCQ
The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while the lower half is rough. A body starting from the rest at top comes back to rest at the bottom if the coefficient of friction for the lower half is given by
A.
$\mu = \sin \theta$
B.
$\mu = \cot \theta$
C.
$\mu = 2\cos \theta$
D.
$\mu = 2\tan \theta$
JIPMER 2000; Kerala PET 2009 Q241 Errorless 3. Motion on Inclined Surface MCQ
A body of mass 10 kg is lying on a rough plane inclined at an angle of $30^{\circ}$ to the horizontal and the coefficient of friction is 0.5. The minimum force required to pull the body up the plane is
A.
914 N
B.
91.4 N
C.
9.14 N
D.
0.914 N
AFMC 1999; CPMT 2000, 01 Q242 Errorless 7. First law of Motion MCQ
When a bus suddenly takes a turn, the passengers are thrown outwards because of
A.
Inertia of direction
B.
Acceleration of motion
C.
Speed of motion
D.
Both
AFMC 1999; CBSE PMT 2000; CPMT 2001; DPMT 2003 Q243 Errorless 8. Second Law of Motion MCQ
The average force necessary to stop a bullet of mass 20 g moving with a speed of 250 m/s, as it penetrates into the wood for a distance of 12 cm is
A.
$2.2 \times 10^{3} N$
B.
$3.2 \times 10^{3} N$
C.
$4.2 \times 10^{3} N$
D.
$5.2 \times 10^{3} N$
AFMC 1999; Pb. PMT 2003 Q244 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
A ball of mass 150g starts moving with an acceleration of $20m/s^{2}$ . When hit by a force, which acts on it for 0.1 sec the impulsive force is
A.
0.5 N-s
B.
0.1 N-s
C.
0.3 N-s
D.
1.2 N-s
CBSE PMT 1999; MH CET 2003; Pb. PMT 2004 Q245 Errorless 10. Conservation of Linear Momentum and Impulse MCQ
If force on a rocket having exhaust velocity of 300 m/sec is 210 N, then rate of combustion of the fuel is
A.
0.7 kg/s
B.
1.4 kg/s
C.
0.07 kg/s
D.
10.7 kg/s
BHU 1999; BCECE 2004 Q246 Errorless 1. Static and limiting friction MCQ
To avoid slipping while walking on ice, one should take smaller steps because of the
A.
Friction of ice is large
B.
Larger normal reaction
C.
Friction of ice is small
D.
Smaller normal reaction
MP PMT 1999; Pb. PMT 2001, 04; AIEEE 2005; CBSE PMT (Mains) 2011; MP PET 2013 Q247 Errorless 2. Kinetic Friction MCQ
Consider a car moving along a straight horizontal road with a speed of 72 km/h. If the coefficient of kinetic friction between the tyres and the road is 0.5, the shortest distance in which the car can be stopped is $[g = 10 \, ms^{-2}]$
A.
30 m
B.
40 m
C.
72 m
D.
20 m
CBSE PMT 1999, 2000; AIIMS 2000; BHU 2001 Q248 Errorless 2. Kinetic Friction MCQ
A block of mass 50 kg slides over a horizontal distance of 1 m. If the coefficient of friction between their surfaces is 0.2, then work done against friction is
A.
98 J
B.
72 J
C.
56 J
D.
34 J
JIPMER 1999; RPET 1999; AMU 2000; Kerala PMT 2006; AIIMS 2008; JEE (Main Online) 2018 Q249 Errorless 3. Motion on Inclined Surface MCQ
A given object takes n times as much time to slide down a $45^{\circ}$ rough incline as it takes to slide down a perfectly smooth $45^{\circ}$ incline. The coefficient of kinetic friction between the object and the incline is given by
A.
$\left(1-\frac{1}{n^{2}}\right)$
B.
$\frac{1}{1-n^{2}}$
C.
$\sqrt{\left(1-\frac{1}{n^{2}}\right)}$
D.
$\sqrt{\frac{1}{1-n^{2}}}$
MP PMT/PET 1998; RPET 2001; BHU 2001; MP PMT 2003 Q250 Errorless 8. Second Law of Motion MCQ
n small balls each of mass m impinge elastically each second on a surface with velocity u. The force experienced by the surface will be
A.
mnu
B.
2 mnu
C.
4 mnu
D.
$\frac{1}{2} mnu$