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968 Questions Start Allen Test
All Exams Allen Advance Errorless
IIT-JEE 2006 Q251 Advance ARCHIVE: JEE ADVANCED MCQ
System shown in figure is in equilibrium and at rest. The spring and string are massless, now the string is cut. The acceleration of mass 2m and m just after the string is cut will be
A.
$\frac{g}{2}$ upwards, $g$ downwards
B.
g upwards, $\frac{g}{2}$ downwards
C.
g upwards, 2g downwards
D.
2g upwards, g downwards
BCECE 2005; JEE (Main) April 2024 Q252 Errorless Second Law of Motion MCQ
A ball of mass m moves with speed v and it strikes normally with a wall and reflected back normally, if its time of contact with wall is t then find force exerted by ball on wall
A.
$\frac{2mv}{t}$
B.
$\frac{mv}{t}$
C.
mut
D.
$\frac{mv}{2t}$
KCET 2005 Q253 Errorless Second Law of Motion MCQ
The adjacent figure is the part of a horizontally stretched net. section $AB$ is stretched with a force of $10N$ . The tensions in the sections $BC$ and $BF$ are $\left|E\right.$
A.
10N, 11N
B.
10N, 6N
C.
10N, 10N
D.
Can't calculate due to insufficient data
J & K CET 2005 Q254 Errorless Third Law of Motion MCQ
A man is standing at the centre of frictionless pond of ice. How can he get himself to the shore
A.
By throwing his shirt in vertically upward direction
B.
By spitting horizontally
C.
He will wait for the ice to melt in pond
D.
Unable to get at the shore
KCET 2005 Q255 Errorless Third Law of Motion MCQ
A student attempts to pull himself up by tugging on his hair. He will not succeed
A.
As the force exerted is small
B.
The frictional force while gripping, is small.
C.
Newton's law of inertia is not applicable to living beings.
D.
As the force applied is internal to the system.
Odisha JEE 2005 Q256 Errorless Conservation of Linear Momentum and Impulse MCQ
For a body moving with relativistic speed, if the velocity is doubled, then
A.
Its linear momentum is doubled
B.
Its linear momentum will be less than double
C.
Its linear momentum will be more than double
D.
Its linear momentum remains unchanged
AIEEE 2005; NEET 2018 Q257 Errorless Equilibrium of Forces MCQ
A block is kept on a frictionless inclined surface with angle of inclination 'a'. 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.
$g\operatorname {cosec}\alpha$
AIIMS 2005; AMU (Engg.) 2012 Q258 Errorless 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 $^{-1}$
IIT-JEE 2005 Q259 Advance ARCHIVE: JEE ADVANCED MCQ
A block of mass m is at rest under the action of force F against a wall as shown in figure. Which of the following statement is incorrect?
A.
$f = mg$ [where $f$ is the frictional force]
B.
$F = N$ [where $N$ is the normal force]
C.
F will not produce torque
D.
N will not produce torque
CBSE PMT 2004 Q260 Errorless 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 Q261 Errorless 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
AIEEE 2004; Kerala PMT 2007 Q262 Errorless 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 Q263 Errorless 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.
$-5\sqrt{2}, \pi/4$
CBSE PMT 2004; Odisha PMT 2004 Q264 Errorless Static and Limiting Friction MCQ
The coefficient of static friction, $\mu_{s}$ , between block A of mass 2 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 ( $g = 10 \, m/s^{2}$ )
A.
$2.0\mathrm{kg}$
B.
$4.0\mathrm{kg}$
C.
$0.2\mathrm{kg}$
D.
$0.4\mathrm{kg}$
AIEEE 2004; KCET 2018 Q265 Errorless 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 $10N$ , the mass of the block (in kg) is (take $g = 10m / s^{2}$ )
A.
2.0
B.
4.0
C.
1.6
D.
2.5
BHU 2004 Q266 Errorless 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 Q267 Errorless 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.
$\mu_{s}mg$
IIT-JEE 2004 Q268 Advance ARCHIVE: JEE ADVANCED MCQ
A block P of mass m is placed on a horizontal frictionless plane. A second block of same mass m is placed on it and is connected to a spring of spring constant k, the two blocks are pulled by distance A. Block Q oscillates without slipping. What is the maximum value of frictional force between the two blocks?
A.
$\frac{kA}{2}$
B.
$kA$
C.
$\mu_{s}mg$
D.
zero
CBSE PMT 2003 Q269 Errorless 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 ( $g=10\ m/s^{2}$ )
A.
$10\ m/s^{2}$
B.
$25\ m/s^{2}$
C.
$2.5\ m/s^{2}$
D.
$5\ m/s^{2}$
UPSEAT 2003 Q270 Errorless 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; JEE (Main) Jan. 2021, Feb. 21 Q271 Errorless 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
Odisha JEE 2003 Q272 Errorless 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.
$\cos^{-1}(g / a)$
AIEEE 2003 Q273 Errorless 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 kg each
B.
Both the scales read M kg each
C.
The scale of the lower one reads $M \, \mathrm{kg}$ 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 kg
AIEEE 2003 Q274 Errorless 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 Q275 Errorless 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.