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629 Questions Start Allen Test
All Exams Allen Objective Errorless
AFMC 1999; CBSE PMT 2000; CPMT 2001; DPMT 2003 Q301 Errorless 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 Q302 Errorless 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 Q303 Errorless 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 Q304 Errorless 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 Q305 Errorless 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 Q306 Errorless 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 Q307 Errorless 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 Q308 Errorless 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.
$\frac{1}{2} mnu$
AFMC 1998, 2003 Q309 Errorless Third Law of Motion MCQ
Swimming is possible on account of
A.
First law of motion
B.
Second law of motion
C.
Third law of motion
D.
Newton's law of gravitation
CBSE PMT 1998; Odisha JEE 2009 Q310 Errorless Conservation of Linear Momentum and Impulse MCQ
A 5000 kg rocket is set for vertical firing. The exhaust speed is $800ms^{-1}$ . To give an initial upward acceleration of $20ms^{-2}$ , the amount of gas ejected per second to supply the needed thrust will be $(g=10ms^{-2})$
A.
$127.5 kg s^{-1}$
B.
$187.5 kg s^{-1}$
C.
$185.5 kg s^{-1}$
D.
$137.5 kg s^{-1}$
AIIMS 1998; JIPMER 2001, 02 Q311 Errorless Conservation of Linear Momentum and Impulse MCQ
Rocket engines lift a rocket from the earth surface because hot gas with high velocity
A.
Push against the earth
B.
Push against the air
C.
React against the rocket and push it up
D.
Heat up the air which lifts the rocket
MP PMT/PET 1998; Odisha JEE 2008 Q312 Errorless Motion of Connected Bodies MCQ
Three blocks of masses $m_{1}, m_{2}$ and $m_{3}$ are connected by massless strings as shown on a frictionless table. They are pulled with a force $T_{3} = 40 N$ . If $m_{1} = 10 kg, m_{2} = 6 kg$ and $m_{3} = 4 kg$ , the tension $T_{2}$ will be
A.
$20N$
B.
$40N$
C.
$10N$
D.
$32N$
AFMC 1998 Q313 Errorless Self Evaluation Test MCQ
A force of 50 dynes is acted on a body of mass $5g$ which is at rest for an interval of 3 seconds, then impulse is
A.
$0.15 \times 10^{-3} N$ -s
B.
$0.98 \times 10^{-3} N$ -s
C.
$1.5 \times 10^{-3} N$ -s
D.
$2.5 \times 10^{-3} N$ -s
AFMC 1998, 99; AIIMS 2001 Q314 Errorless Static and limiting friction MCQ
When two surfaces are coated with a lubricant, then they
A.
Stick to each other
B.
Slide upon each other
C.
Roll upon each other
D.
None of these
CPMT 1997; CBSE PMT 2006 Q315 Errorless Conservation of Linear Momentum and Impulse MCQ
A 100 g iron ball having velocity 10 m/s collides with a wall at an angle $30^{\circ}$ and rebounds with the same angle. If the period of contact between the ball and wall is 0.1 second, then the force experienced by the wall is
A.
10 N
B.
100 N
C.
1.0 N
D.
0.1 N
RPET 1997; RPMT 2005; BHU 2006 Q316 Errorless Motion on Inclined Surface MCQ
The coefficient of friction between a body and the surface of an inclined plane at $45^{\circ}$ is 0.5. If $g = 9.8 \, m/s^{2}$ , the acceleration of the body downwards in $m/s^{2}$ is
A.
$\frac{4.9}{\sqrt{2}}$
B.
$4.9\sqrt{2}$
C.
$19.6\sqrt{2}$
D.
4.9
CBSE PMT 1996, 2009; Odisha JEE 2011 Q317 Errorless Second Law of Motion MCQ
A force vector applied on a mass is represented as $\vec{F} = 6\hat{i} - 8\hat{j} + 10\hat{k}$ and accelerates with $1m / s^2$ . What will be the mass of the body
A.
$10\sqrt{2} kg$
B.
$2\sqrt{10} kg$
C.
$10kg$
D.
$20kg$
MP PMT 1996; AIEEE 2003 Q318 Errorless Motion of Connected Bodies MCQ
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block will be
A.
P
B.
$\frac{Pm}{M+m}$
C.
$\frac{PM}{M+m}$
D.
$\frac{Pm}{M-m}$
RPET 1996; JIPMER 2001, 02; AMU (Engg.) 2010 Q319 Errorless Motion of Connected Bodies MCQ
A light string passes over a frictionless pulley. To one of its ends a mass of 6 kg is attached. To its other end a mass of 10 kg is attached. The tension in the thread will be
A.
$24.5N$
B.
2.45 N
C.
79 N
D.
73.5 N
Manipal MEE 1995; MP PMT 1999, 2000; DCE 2000, 03, 09; Pb. PMT 2001, 04; CBSE PMT 2002, 03, 09; Kerala PET 2002, 08; DPMT 2003; Odisha JEE 2011; CBSE PMT (Pre.) 2011 Q320 Errorless Second Law of Motion MCQ
A person of mass 60 kg is inside a lift of mass 940 kg and presses the button one control panel. The lift starts moving upwards with an acceleration $1.0 \, m/s^{2}$ . If $g = 10 \, ms^{-2}$ , the tension in the supporting cable is
A.
1200 N
B.
8600 N
C.
9680 N
D.
11000 N
MP PMT 1995; BVP 2003 Q321 Errorless Second Law of Motion MCQ
A boy having a mass equal to 40 kilograms is standing in an elevator. The force felt by the feet of the boy will be greatest when the elevator $(g = 9.8 \text{ metres} / \text{sec}^2)$
A.
Stands still
B.
Moves downward at a constant velocity of 4 metres/sec
C.
Accelerates downward with an acceleration equal to $4 \, metres/sec^{2}$
D.
Accelerates upward with an acceleration equal to $4 \, metres/sec^{2}$
EAMCET (Med.) 1995; Pb. PMT 1999; KCET 2000; MP PET 2002 Q322 Errorless Second Law of Motion MCQ
A body of mass 1.0kg is falling with an acceleration of 10 m/sec $^{2}$ . Its apparent weight will be (g = 10m/sec $^{2}$ )
A.
1.0kg wt
B.
2.0kg wt
C.
0.5kg wt
D.
Zero
Manipal MEE 1995; MP PMT 2010 Q323 Errorless Third Law of Motion MCQ
Newton's third law of motion leads to the law of conservation of
A.
Angular momentum
B.
Energy
C.
Mass
D.
Momentum
AFMC 1995; CBSE PMT 1996; JIPMER 1999, 2000 Pb. PMT 2002; DCE 2004 Q324 Errorless Conservation of Linear Momentum and Impulse MCQ
A man fires a bullet of mass 200 g at a speed of 5 m/s. The gun is of one kg mass. By what velocity the gun rebounds backwards
A.
0.1 m/s
B.
10 m/s
C.
1 m/s
D.
0.01 m/s
EAMCET (Engg.) 1995; Kerala PET 2005 Q325 Errorless Static and limiting friction MCQ
A uniform metal chain is placed on a rough table such that one end of chain hangs down over the edge of the table. When one-third of its length hangs over the edge, the chain starts sliding. Then, the coefficient of static friction is
A.
$\frac{3}{4}$
B.
$\frac{1}{4}$
C.
$\frac{2}{3}$
D.
$\frac{1}{2}$