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629 Questions Start Allen Test
All Exams Allen Objective Errorless
Q501 Allen Previous Year Questions MCQ
A block of mass m is placed on a smooth inclined wedge ABC of inclination $\theta$ as shown in the figure. The wedge is given an acceleration 'a' towards the right. The relation between a and $\theta$ for the block to remain stationary on the wedge is :-
A.
$a = \frac{g}{\csc \theta}$
B.
$a = \frac{g}{\sin\theta}$
C.
$a = g \cos \theta$
D.
$a = g \tan \theta$
Q502 Allen Previous Year Questions MCQ
A truck is stationary and has a bob suspended by a light string, in a frame attached to the truck. The truck, suddenly moves to the right with an acceleration of a. The pendulum will tilt :-
A.
to the left and angle of inclination of the pendulum with the vertical is $\sin^{-1}(g/a)$
B.
to the left and angle of inclination of the pendulum with the vertical is $\tan^{-1}(a/g)$
C.
to the left and angle of inclination of the pendulum with the vertical is $\sin^{-1}(a/g)$
D.
to the left and angle of inclination of the pendulum with the vertical is $\tan^{-1}(g/a)$
Q503 Allen Previous Year Questions MCQ
A body of mass m is kept on a rough horizontal surface (coefficient of friction = $\mu$ ) A horizontal force is applied on the body, but it does not move. The resultant of normal reaction and the frictional force acting on the object is given by F, where F is:
A.
$|\vec{F}| = mg + \mu mg$
B.
$|\vec{F}| = \mu mg$
C.
$|\vec{F}| \leq mg \sqrt{1 + \mu^{2}}$
D.
$|\vec{F}| = mg$
Q504 Allen Previous Year Questions MCQ
Two bodies of mass 4kg and 6kg are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity (g) is :
A.
g/10
B.
g
C.
g/2
D.
g/5
Q505 Allen Previous Year Questions MCQ
Calculate the acceleration of the block and trolley system shown in the figure. The coefficient of kinetic friction between the trolley and the surface is 0.05. (g = 10 m/s $^{2}$ , mass of the string is negligible and no other friction exists).
A.
$1.25 \mathrm{~m} / \mathrm{s}^{2}$
B.
$1.50 \mathrm{~m} / \mathrm{s}^{2}$
C.
$1.66 \mathrm{~m} / \mathrm{s}^{2}$
D.
$1.00 \mathrm{~m} / \mathrm{s}^{2}$
Q506 Allen Previous Year Questions MCQ
A ball of mass 0.15 kg is dropped from a height 10 m, strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is $(g = 10 \, \text{m/s}^2)$ nearly:
A.
0 kg m/s
B.
4.2 kg m/s
C.
2.1 kg m/s
D.
1.4 kg m/s
Q507 Allen Previous Year Questions MCQ
In the diagram shown, the normal reaction force between 2 kg and 1 kg is (Consider the surface, to be smooth): Given g = 10 ms $^{-2}$
A.
25 N
B.
39 N
C.
6 N
D.
10 N
Q508 Allen Previous Year Questions MCQ
The restoring force of a spring with a block attached to the free end of the spring is represented by :
A.
B.
C.
D.
Q509 Allen Previous Year Questions MCQ
The distance covered by a body of mass 5 g having linear momentum 0.3 kg m/s in 5 s is:
A.
300 m
B.
30 m
C.
3 m
D.
0.3 m
Q510 Allen Previous Year Questions MCQ
A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is :
A.
along northward
B.
along north-east
C.
along south-west
D.
along eastward
Q511 Allen Previous Year Questions MCQ
Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.15 \, (g = 10 \, m \, s^{-2})$ .
A.
$150 \, m \, s^{-2}$
B.
$1.5 \, m \, s^{-2}$
C.
$50 \, m \, s^{-2}$
D.
$1.2 \, m \, s^{-2}$
Q512 Allen Previous Year Questions MCQ
A block of mass 2 kg is placed on inclined rough surface AC (as shown in figure) of coefficient of friction $\mu$ . If g = 10 m s $^{-2}$ , the net force (in N) on the block will be :
A.
$10\sqrt{3}$
B.
zero
C.
10
D.
20
Q513 Allen Previous Year Questions MCQ
A 1 kg object strikes a wall with velocity 1 m s $^{-1}$ at an angle of 60Ā° with the wall and reflects at the same angle. If it remains in contact with wall for 0.1 s, then the force exerted on the wall is :-
A.
30 $\sqrt{3}$ N
B.
Zero
C.
10 $\sqrt{3}$ N
D.
20 $\sqrt{3}$ N
Q514 Allen Previous Year Questions MCQ
A horizontal force 10 N is applied to a block A as shown in figure. The mass of blocks A and B are 2 kg and 3 kg, respectively. The blocks slide over a frictionless surface. The force exerted by block A on block B is :
A.
zero
B.
$4\mathrm{N}$
C.
$6\mathrm{N}$
D.
$10\mathrm{N}$
Q515 Allen Previous Year Questions MCQ
A box of mass 5 kg is pulled by a cord, up along a frictionless plane inclined at 30Ā° with the horizontal. The tension in the cord is 30 N.The acceleration of the box is(Take g = 10 m s-2)
A.
2 m s-2
B.
zero
C.
0.1 m s-2
D.
1 m s-2
Q516 Allen Analytical Questions Match the Columns
For the given figure, match Column-I to Column-II

Column-IColumn-II
(A)Tension in the string
(B)Normal on the block
(C)Contact force between block and inclined plane
(D)Friction on the block
(P)24 N
(Q)20 N
(R)12 N
(S)27 N
A.
a - Q, b - P, c - S, d - R
B.
a - P, b - Q, c - S, d - R
C.
a - P, b - Q, c - R, d - S
D.
a - Q, b - P, c - R, d - S
Q517 Allen Analytical Questions Match the Columns
A block of mass m is thrown upwards with some initial velocity as shown. On the block. Match Column-I with Column-II

Column-IColumn-II
(A)Net force in horizontal direction
(B)Net force in vertical direction
(C)Net force along the plane
(D)Net force perpendicular to the plane
(P)zero
(Q)$m(g\sin\theta+\mu g\cos\theta)$
(R)$m(g\sin\theta\cos\theta+\mu gc\cos^2\theta)$
(S)$m(g\sin^2\theta+\mu g\sin\theta\cos\theta)$
(T)None
A.
a - P, b - R, c - Q, d - P
B.
a - R, b - S, c - Q, d - P
C.
a - P, b - S, c - Q, d - P
D.
a - Q, b - R, c - P, d - R
Q518 Allen Analytical Questions Match the Columns
If the net force acting on a system is represented by $\vec{F}$ and its momentum is $\vec{P}$ . Then match the entries of Column-I with the entries of Column-II.
Column-IColumn-II
(A)If $\vec{F}$ is constant
(B)If $\vec{F}$ is changing in magnitude only
(C)If $\vec{F}$ is changing in direction only
(D)If $\vec{F}$ is zero
(P)$\vec{P}$ may change its direction
(Q)$\vec{P}$ must change its magnitude
(R)$\vec{P}$ may not change its direction
(S)$\vec{P}$ may be constant in magnitude
A.
(a) ā€“ P,Q,R (b) ā€“ P,Q,R (c) ā€“ P,S (d) ā€“ S
B.
(a) ā€“ P,R (b) ā€“ P,Q (c) ā€“ P,R (d) ā€“ S
C.
(a) ā€“ P,Q (b) ā€“ Q,R (c) ā€“ P,R (d) ā€“S
D.
(a) ā€“ P,R (b) ā€“ P,Q,R (c) ā€“ P (d) ā€“ S
Q519 Allen Analytical Questions MCQ
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : When a block is placed in a lift which is accelerating upwards then the body experiences the following three forces :
(a) Weight (mg)
(b) Normal reaction (N) and
(c) Pseudo force (ma) if 'a' is acceleration of lift
Reason (R): Pseudo force is applied on a body only when body is seen from an accelerated observer.
In the light of the above statements,
choose the most appropriate answer from the options given below:
A.
Both (A) and (R) are true and (R) is the correct explanation of (A).
B.
Both (A) and (R) are true and (R) is NOT the correct explanation of (A).
C.
(A) is true but (R) is false.
D.
(A) is false but (R) is true.
Q520 Allen Analytical Questions MCQ
Equilibrium means zero acceleration while rest means zero velocity.
A.
True
B.
False
C.
Partially true
D.
None of the above
Q521 Allen Analytical Questions MCQ
Two blocks of mass 2 kg and 3 kg are arranged as shown and released from rest. Assuming string and pulley to be ideal. Find the separation between them after 1 sec. [g = 10 m/s $^{2}$ ]
A.
$1\mathrm{m}$
B.
$2\mathrm{m}$
C.
$4\mathrm{m}$
D.
None
Q522 Allen Analytical Questions MCQ
Match the situations in Column I to the accelerations of blocks in the Column II (acceleration due to gravity is g and F is an additional force applied to one of the blocks?
Column-IColumn-II
(A)
(B)
(C)
(D)
(P)$\frac{g}{5}$
(Q)$\frac{\mathbf{g}}{3}$
(R)$\frac{g}{2}$
(S)0
A.
A ā†’ R, B ā†’ S, C ā†’ R, D ā†’ P
B.
A ā†’ R, B ā†’ S, C ā†’ Q, D ā†’ P
C.
A ā†’ Q, B ā†’ P, C ā†’ R, D ā†’ S
D.
A ā†’ P, B ā†’ Q, C ā†’ R, D ā†’ S
Q523 Allen Analytical Questions MCQ
If a body is placed on a rough inclined plane, the nature of forces acting on the body is(are)
(A) gravitational (B) electromagnetic
(C) nuclear (D) weak
A.
Only A
B.
A and D
C.
A, B, C, D
D.
A and B
Q524 Allen Analytical Questions MCQ
Statement-I: When a cloth with a lot of dirt in it, is jerked the dirt gets away from it. Statement-II: When an object applies force on another object the other object also applies an equal force but opposite in direction.
A.
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
B.
Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1.
C.
Statement-1 is True, Statement-2 is False.
D.
Statement-1 is False, Statement-2 is True.
Q525 Objective Taking it together MCQ
A metre scale is moving with uniform velocity. This implies
A.
the force acting on the scale is zero, but a torque about the centre of mass can act on the scale
B.
the force acting on the scale is zero and the torque acting about centre of mass of the scale is also zero
C.
the total force acting on it need not be zero but the torque on it is zero
D.
Neither the force nor the torque need to be zero