MCAT/MCAT Physics Mcq Questions Circular motion Set 1 Sample Test,Sample questions

Question:
? ? If A=Ax i^ + Ay j^ + Az K^ B = Bx i^ + By j^ + Bz K^ then

1.?? A. B = Ax Bx + Ay By + Az Bz

2.?? A. B = Ax By + Ay Bz + Az By

3.?? A. B = Ay Bz + Az By + Az Bx

4.?? A. B = Ax Bz + Ay By + Az Bx


Question:
? The unit vector in the direction of vector A = 2 i^ -2j^ + k^ is

1.2i^ - 2j^ + k^

2.(2i^ - 2j^ +k^)/9

3.(2i^ - 2j^ +k^)/3

4.(2i^ - 2j^ +k^)/5


Question:
A body in equilibrium

1.always at rest

2.always in uniform motion

3.may be at rest or in uniform motion

4.may be at rest or in motion


Question:
A body will be in complete equilibrium when it is satisfying

1.Ist condition of equilibrium

2.2nd condition of equilibrium

3.both Ist and 2nd condition of equilibrium

4.impossible


Question:
A central force is that which

1.can produce torque

2.can not produce torque

3.some time can produce torque some time can not

4.has no relation with torque


Question:
A hoop and disc have same mass and radius. Their rotational K.E are related by an equation

1.K.Ehoop = K.Edisc

2.K.Ehoop = 2K.Edisc

3.K.Ehoop = 1/2K.Edisc

4.K.Ehoop = 4K.Edisc


Question:
A vector can be multiplied by a number. The number may be

1.dimensionless

2.dimensional scalar

3.negative

4.all a, b and c are correct


Question:
According to Einstein the gravity interaction is possible between

1.material objects only

2.material objects and electromagnetic radiation only

3.electromagnetic radiations

4.none of the above


Question:
Addition of vector obeys

1.commutative law

2.distributive law

3.associative law

4.all given laws in a , b and c


Question:
Angle between two vectors A and B can be determined by

1.their dot product

2.their cross product

3.head to tail rule

4.right hand rule


Question:
Cos?i^ + Sin?j^ is a

1.vector

2.position vector

3.vector in the direction at angle ? with x-axis

4.unit vector in the direction at angle ? with x-axis


Question:
Geo-stationary satellite completes one rotation around earth in

1.3 hours

2.6 hours

3.12 hours

4.24 hours


Question:
If A=B, which of the following is not correct?

1.A.B = A^ B^

2.|A| = |B|

3.|A^| = |B^|

4.AB^ = BA^


Question:
If east, west, north, south, up and down are representing the direction of unit vectors, then east x south has direction along

1.west

2.north

3.down

4.up


Question:
In which quadrant the two rectangular components of a vector have same sign?

1.1st

2.2nd

3.both 1st and 3rd

4.4th


Question:
In which quadrant, only value of tan will be positive?

1.first

2.second

3.third

4.both 1st and 3rd


Question:
It is easier to turn a steering wheel with both hands than with a single hand because

1.accelerating force increases on the wheel

2.two forces act on the wheel

3.two hands provide firm grip

4.couple acts on the wheel


Question:
i^ . (j^ x k^) is equal to

1.1

2.i^

3.j^

4.k^


Question:
Maximum number of components of a vector may be

1.one

2.two

3.three

4.infinite


Question:
Maximum number of rectangular components are

1.one

2.two

3.three

4.infinite


Question:
Null vector is a vector which has

1.zero magnitude

2.no specified direction

3.both a and b are correct

4.both a and b are not correct


Question:
One radian is equal to

1.67.3?

2.57.3?

3.87.3?

4.60?


Question:
Radius of geo-stationary orbit from center of earth is nearly

1.42000km

2.36000km

3.24000 km

4.18000 km


Question:
Rectangular coordinate system is also called

1.polar coordinate system

2.Cartesian coordinate system

3.cylindrical coordinate system

4.spherical coordinate system


Question:
SI unit of torque is

1.N.m

2.joule

3.both a and b are correct

4.neither a nor b is correct


Question:
The critical speed of an artificial satellite is

1.8 Kms-1

2.8.1 Kms-1

3.7.9 Kms-1

4.8 ms-1


Question:
The cross product i^ x j^ is equal to

1.zero

2.one

3.i^

4.k^


Question:
The cross product of two vectors is a negative vector when

1.they are parallel vectors

2.they are anti parallel vectors

3.they are perpendicular vector

4.they are rotated through 270?


Question:
The dimension of torque is

1.[ML2T-2]

2.[MLT-2]

3.[ML2T]

4.[ML-2T-2]


Question:
The direction of a vector in spece is specified by

1.one angle

2.two angle

3.three angle

4.no angle


Question:
The direction of linear velocity of body moving in a circle is

1.along the axis of rotation

2.along the tangent

3.directed towards the center

4.directed away form the center


Question:
The direction of vector product is given by

1.head to tail rule

2.right hand rule

3.left hand rule

4.triangular rule


Question:
The magnitude of cross product is equal to the dot product between them. The angle between the two vectors is

1.30?

2.45?

3.60?

4.180?


Question:
The magnitude of i^. (j^ x k^) is

1.0

2.1

3.-1

4.i^


Question:
The period of a circular motion is given by

1.T = rV

2.T = ?w

3.T = 2??

4.T = 2?/?


Question:
The resultant of two forces of equal magnitudes is also equal to the magnitude of the forces. The angle between the two forces is

1.30?

2.60?

3.90?

4.120?


Question:
The rotational K.E of hoop is equal to the

1.its translational K.E

2.half than its translational K.E

3.double than its translational K.E

4.four times than its translational K.E


Question:
Three coplanar forces acting on a body keep it in equilibrium. They should therefore be

1.concurrent

2.non concurrent

3.parallel

4.non parallel


Question:
Torque acting on a body determines

1.acceleration

2.linear acceleration

3.angular acceleration

4.direction of motion of the body


Question:
Torque is defined as

1.turning effect of force

2.cross product of position vector and force

3.product of force and moment arm

4.all a, b and c are correct


Question:
Two vectors A and B are making angle ? with each other. The scalar projection of vector B on vector A is written as

1.A.B/A

2.A.B/B

3.A.cos ?

4.both a and b are correct


Question:
Two vectors are A = 3i^+2j^ -k^& B = 3i^-2j^ +k^ , then

1.B is anti parallel to A

2.B is negative vector of A

3.B has negative magnitude

4.B is perpendicular to A


Question:
Unit vector n^ is along

1.x-axis

2.normal on a surface

3.y-axis

4.z-axis


Question:
What is the angle that the given vector makes with y-axis? A=2 i^+??12 j^

1.30?

2.60?

3.90?

4.120?


Question:
When a body moves in a circle, the angle between its linear velocity and angular velocity is always

1.180?

2.0?

3.90?

4.45?


Question:
which of the following pairs does not have identical dimensions ?

1.torque and energy

2.momentum and impulse

3.energy and work

4.mass and moment of inertia


Question:
Which one is a unit vector?

1.??3 i^ + ??3 j^ + ??3 k^

2.1/??3 i^ + 1/??3 j^ +1/ ??3 k^

3.??3 / 3 i^ + ??3 / 3 j^ + ??3 / 3 k^

4.both b and c are correct


Question:
Which one is not a correct relation?

1.AxB = -BxA

2.|AxB| = -|BxA|

3.AxB = AB Sin?n^

4.BxA = AB Sin?(-n^)


Question:
Which one is not a type of dynamic equilibrium?

1.rotational equilibrium

2.translational equilibrium

3.static equilibrium

4.both a and c are corret answer.


Question:
Which one is not correct for a vector A= 2??2 i^ + ??2 j^?

1.has direction ?=45? with x-axis

2.has magnitude 2

3.has magnitude 2 and direction ?=45? with y-axis

4.has magnitude -2


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