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629 Questions Start Allen Test
All Exams Allen Objective Errorless
Kerala PET 2007 Q201 Errorless Conservation of Linear Momentum and Impulse MCQ
A shell at rest at the origin explodes into three fragments of masses 1kg, 2kg and m kg. The 1kg and 2kg pieces fly off with speeds of $5ms^{-1}$ along x-axis and $6ms^{-1}$ along y-axis respectively. If the m kg piece flies off with a speed of $6.5ms^{-1}$ , the total mass of the shell must be
A.
4 kg
B.
5 kg
C.
3.5 kg
D.
4.5 kg
Kerala PET 2007 Q202 Errorless Equilibrium of Forces MCQ
A mass of 5kg is suspended by a rope of length 2m from a ceiling. A force of 50N in the horizontal direction is applied at the mid-point of the rope. The angle made by the rope with the vertical, in equilibrium is
A.
50Ā°
B.
60Ā°
C.
30Ā°
D.
45Ā°
AIEEE 2007 Q203 Errorless Motion of Connected Bodies MCQ
A block of mass ā€˜mā€™ is connected to another block of mass ā€˜Mā€™ by a spring (massless) of spring constant ā€˜kā€™. The blocks are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force ā€˜Fā€™ starts acting on the block of mass ā€˜Mā€™ to pull it. Find the force on the block of mass ā€˜mā€™
A.
$\frac{mF}{M}$
B.
$\frac{(M+mF)}{m}$
C.
$\frac{mF}{(m+M)}$
D.
$\frac{MF}{(m+M)}$
IIT-JEE 2007 Q204 Errorless Critical Thinking MCQ
Two particles of mass m each are tied at the ends of a light string of length 2a. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ā€˜aā€™ from the center P (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force F. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when them becomes 2x, is magnitude of acceleration, when the separation between them becomes 2x, is
A.
$\frac{F}{2m}\frac{a}{\sqrt{a^2 - x^2}}$
B.
$\frac{F}{2m}\frac{x}{\sqrt{a^2 - x^2}}$
C.
$\frac{F}{2m}\frac{x}{a}$
D.
$\frac{F}{2m}\frac{\sqrt{a^2 - x^2}}{x}$
CBSE PMT 2007 Q205 Errorless Kinetic Friction MCQ
A block B is pushed momentarily along a horizontal surface with an initial velocity V. If $\mu$ is the coefficient of sliding friction between B and the surface, block B will come to rest after a time ____
A.
$V / (g\mu)$
B.
$g\mu /V$
C.
$g / V$
D.
$V / g$
AIIMS 2007 Q206 Errorless Assertion and Reason-Friction MCQ
Assertion : The acceleration of a body down a rough inclined plane is greater than the acceleration due to gravity. Reason : The body is able to slide on a inclined plane only when its acceleration is greater than acceleration due to gravity.
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.
AFMC 2006 Q207 Errorless Second Law of Motion MCQ
A reference frame attached to the earth
A.
Is an inertial frame by definition
B.
Cannot be an inertial frame because earth is revolving round the sun
C.
Is an inertial frame because Newton's laws are applicable
D.
Is an inertial frame because the earth is rotating about its own axis
Kerala PMT 2006 Q208 Errorless Second Law of Motion MCQ
Same force acts on two bodies of different masses 3 kg and 5 kg initially at rest. The ratio of times required to acquire same final velocity is
A.
5:3
B.
25:9
C.
9:25
D.
3:5
KCET 2006 Q209 Errorless Second Law of Motion MCQ
For ordinary terrestrial experiments, the observer is an inertial frame in the following cases is
A.
A child revolving in a giant wheel
B.
A driver in a sports car moving with a constant high speed of $200\mathrm{kmh}^{-1}$ on a straight rod
C.
The pilot of an aeroplane which is taking off
D.
A cyclist negotiating a sharp curve
J & K CET 2006 Q210 Errorless Second Law of Motion MCQ
Which of the following quantities measured from different inertial reference frames are same
A.
Force
B.
Velocity
C.
Displacement
D.
Kinetic energy
J & K CET 2006; Kerala PMT 2009 Q211 Errorless Conservation of Linear Momentum and Impulse MCQ
A large force is acting on a body for a short time. The impulse imparted is equal to the change in
A.
Acceleration
B.
Momentum
C.
Energy
D.
Velocity
E.
Displacement
BHU 2006 Q212 Errorless Conservation of Linear Momentum and Impulse MCQ
In the first second of its flight, rocket ejects 1/60 of its mass with a velocity of $2400~\mathrm{ms}^{-1}$ . The acceleration of the rocket is
A.
$19.6~\mathrm{ms}^{-2}$
B.
$30.2~\mathrm{ms}^{-2}$
C.
$40~\mathrm{ms}^{-2}$
D.
$49.8~\mathrm{ms}^{-2}$
UP CPMT 2006 Q213 Errorless Equilibrium of Forces MCQ
An object is kept on a smooth inclined plane of 1 in l. The horizontal acceleration to be imparted to the inclined plane so that the object is stationary relative to the inclined is
A.
$g\sqrt{l^{2}-1}$
B.
$g(l^{2}-1)$
C.
$\frac{g}{\sqrt{l^{2}-1}}$
D.
$\frac{g}{l^{2}-1}$
IIT-JEE 2006; NEET 2017 Q214 Errorless Motion of Connected Bodies MCQ
Two blocks A and B of masses 2m and m, respectively, are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively
A.
g, g/2
B.
g/2, g
C.
g, g
D.
g/2, g/2
DCE 2006 Q215 Errorless Motion of Connected Bodies MCQ
A block of mass $M$ is attached to the lower end of a vertical rope of mass $m$ . An upward force $P$ acts on the upper end of the rope. The system is free to move. The force exerted by the rope on the block is $\frac{PM}{M + m}$
A.
In all cases
B.
Only if the rope is uniform
C.
In gravity-free space only
D.
Only if $P > (M + m)g$
DCE 2006 Q216 Errorless Motion of Connected Bodies MCQ
In the arrangement shown, the pulleys are fixed and ideal, the strings are light, $m_{1} > m_{2}$ and $S$ is a spring balance which is itself massless. The reading of $S$ (in unit of mass) is
A.
$m _ {1} - m _ {2}$
B.
$\frac{1}{2}(m_{1}+m_{2})$
C.
$\frac {m _ {1} m _ {2}}{m _ {1} + m _ {2}}$
D.
$\frac{2m_{1}m_{2}}{m_{1}+m_{2}}$ $m_{2}$
AIIMS 2006 Q217 Errorless Critical Thinking MCQ
If a street light of mass $M$ is suspended from the end of a uniform rod of length $L$ in different possible patterns as shown in figure, then (A) (B) (C)
A.
Pattern A is sturdier
B.
Pattern B is sturdier
C.
Pattern C is sturdier
D.
All will have same sturdiness
AIIMS 2006 Q218 Errorless Graphical Questions MCQ
A person used force (F), shown in figure to move a load with constant velocity on given surface Identify the correct surface profile
A.
B.
C.
D.
AIIMS 2006 Q219 Errorless Assertion and reason MCQ
Assertion : A man in a closed cabin falling freely does not experience gravity. Reason : Inertial and gravitational mass have equivalence.
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.
MP PMT 2006 Q220 Errorless Static and limiting friction MCQ
A block weighing $W$ is held against a vertical wall by applying a horizontal force $F$ . The minimum value of $F$ needed to hold the block is
A.
Less than $W$
B.
Equal to $W$
C.
Greater than $W$
D.
Data is insufficient
MP PET 2006; JEE (Main) 2018 Q221 Errorless Static and limiting friction MCQ
Two masses A and B of 10 kg and 5 kg respectively are connected with a string passing over a frictionless pulley fixed at the corner of a table as shown. The coefficient of static friction of A with table is 0.2. The minimum mass of C that may be placed on A to prevent it from moving is
A.
15 kg
B.
10 kg
C.
5 kg
D.
12 kg
BHU 2006 Q222 Errorless Kinetic Friction MCQ
A body moves along a circular path of radius 10m and the coefficient of friction is 0.5. What should be its angular speed in rad/s if it is not to slip from the surface (g=9.8 msĀ²)
A.
5
B.
10
C.
0.1
D.
0.7
IIT-JEE 2006 Q223 Errorless Critical Thinking-Friction MCQ
A circular disc with a groove along its diameter is placed horizontally. A block of mass 1kg is placed as shown. The co-efficient of friction between the block and all surfaces of groove in contact is $\mu=2/5$ . The disc has an acceleration of $25\ m/s^{2}$ . Find the acceleration of the block with respect to disc $\cos \theta = 4 / 5$ $\sin \theta = 3 / 5$
A.
$10 \, m/s^{2}$
B.
$5m / s^2$
C.
20 m/sĀ²
D.
$1m / s^2$
AIIMS 2006 Q224 Errorless Assertion and Reason-Friction MCQ
Assertion : Use of ball bearings between two moving parts of machine is a common practice. Reason : Ball bearings reduce vibrations and provide good stability.
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.
BCECE 2005 Q225 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.
$\frac{mv}{2t}$