R4RIN – MCQs, Mock Tests | MCAT MCAT Physics Mcq Questions Circular motion Set 1

Rectangular coordinate system is also called

1. polar coordinate system
2. Cartesian coordinate system
3. cylindrical coordinate system
4. spherical coordinate system

✅ Correct Answer: 2

The direction of a vector in spece is specified by

1. one angle
2. two angle
3. three angle
4. no angle

✅ Correct Answer: 3

Addition of vector obeys

1. commutative law
2. distributive law
3. associative law
4. all given laws in a , b and c

✅ Correct Answer: 4

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

✅ Correct Answer: 4

Unit vector n^ is along

1. x-axis
2. normal on a surface
3. y-axis
4. z-axis

✅ Correct Answer: 2

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

✅ Correct Answer: 4

Maximum number of rectangular components are

1. one
2. two
3. three
4. infinite

✅ Correct Answer: 3

Maximum number of components of a vector may be

1. one
2. two
3. three
4. infinite

✅ Correct Answer: 4

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

✅ Correct Answer: 4

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?

✅ Correct Answer: 4

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?

✅ Correct Answer: 2

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

1. 1st
2. 2nd
3. both 1st and 3rd
4. 4th

✅ Correct Answer: 3

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

✅ Correct Answer: 1

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

✅ Correct Answer: 2

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

1. A.B = A^ B^
2. |A| = |B|
3. |A^| = |B^|
4. AB^ = BA^

✅ Correct Answer: 1

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

1. 1
2. i^
3. j^
4. k^

✅ Correct Answer: 1

Which one is not a correct relation?

1. AxB = -BxA
2. |AxB| = -|BxA|
3. AxB = AB Sin?n^
4. BxA = AB Sin?(-n^)

✅ Correct Answer: 2

The direction of vector product is given by

1. head to tail rule
2. right hand rule
3. left hand rule
4. triangular rule

✅ Correct Answer: 2

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

✅ Correct Answer: 3

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

✅ Correct Answer: 3

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

✅ Correct Answer: 4

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

✅ Correct Answer: 1

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?

✅ Correct Answer: 2

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

✅ Correct Answer: 4

The dimension of torque is

1. [ML2T-2]
2. [MLT-2]
3. [ML2T]
4. [ML-2T-2]

✅ Correct Answer: 1

SI unit of torque is

1. N.m
2. joule
3. both a and b are correct
4. neither a nor b is correct

✅ Correct Answer: 1

Torque acting on a body determines

1. acceleration
2. linear acceleration
3. angular acceleration
4. direction of motion of the body

✅ Correct Answer: 3

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

✅ Correct Answer: 3

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

✅ Correct Answer: 3

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.

✅ Correct Answer: 3

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

✅ Correct Answer: 1

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

✅ Correct Answer: 4

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

✅ Correct Answer: 2

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

✅ Correct Answer: 4

The cross product i^ x j^ is equal to

1. zero
2. one
3. i^
4. k^

✅ Correct Answer: 4

? 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

✅ Correct Answer: 3

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

1. 0
2. 1
3. -1
4. i^

✅ Correct Answer: 2

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

1. first
2. second
3. third
4. both 1st and 3rd

✅ Correct Answer: 4

? ? 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

✅ Correct Answer: 1

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?

✅ Correct Answer: 4

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

✅ Correct Answer: 1

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

✅ Correct Answer: 2

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

✅ Correct Answer: 3

Geo-stationary satellite completes one rotation around earth in

1. 3 hours
2. 6 hours
3. 12 hours
4. 24 hours

✅ Correct Answer: 4

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

1. 42000km
2. 36000km
3. 24000 km
4. 18000 km

✅ Correct Answer: 1

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

✅ Correct Answer: 2

One radian is equal to

1. 67.3?
2. 57.3?
3. 87.3?
4. 60?

✅ Correct Answer: 2

The period of a circular motion is given by

1. T = rV
2. T = ?w
3. T = 2??
4. T = 2?/?

✅ Correct Answer: 4

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

✅ Correct Answer: 2

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?

✅ Correct Answer: 3