? ? 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
Posted Date:-2021-08-27 05:08:02
? 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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
Addition of vector obeys
1.commutative law
2.distributive law
3.associative law
4.all given laws in a , b and c
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
Geo-stationary satellite completes one rotation around earth in
1.3 hours
2.6 hours
3.12 hours
4.24 hours
Posted Date:-2021-08-27 05:08:02
If A=B, which of the following is not correct?
1.A.B = A^ B^
2.|A| = |B|
3.|A^| = |B^|
4.AB^ = BA^
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
In which quadrant the two rectangular components of a vector have same sign?
1.1st
2.2nd
3.both 1st and 3rd
4.4th
Posted Date:-2021-08-27 05:08:02
In which quadrant, only value of tan will be positive?
1.first
2.second
3.third
4.both 1st and 3rd
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
i^ . (j^ x k^) is equal to
1.1
2.i^
3.j^
4.k^
Posted Date:-2021-08-27 05:08:02
Maximum number of components of a vector may be
1.one
2.two
3.three
4.infinite
Posted Date:-2021-08-27 05:08:02
Maximum number of rectangular components are
1.one
2.two
3.three
4.infinite
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
One radian is equal to
1.67.3?
2.57.3?
3.87.3?
4.60?
Posted Date:-2021-08-27 05:08:02
Radius of geo-stationary orbit from center of earth is nearly
1.42000km
2.36000km
3.24000 km
4.18000 km
Posted Date:-2021-08-27 05:08:02
Rectangular coordinate system is also called
1.polar coordinate system
2.Cartesian coordinate system
3.cylindrical coordinate system
4.spherical coordinate system
Posted Date:-2021-08-27 05:08:02
SI unit of torque is
1.N.m
2.joule
3.both a and b are correct
4.neither a nor b is correct
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
The cross product i^ x j^ is equal to
1.zero
2.one
3.i^
4.k^
Posted Date:-2021-08-27 05:08:02
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?
Posted Date:-2021-08-27 05:08:02
The dimension of torque is
1.[ML2T-2]
2.[MLT-2]
3.[ML2T]
4.[ML-2T-2]
Posted Date:-2021-08-27 05:08:02
The direction of a vector in spece is specified by
1.one angle
2.two angle
3.three angle
4.no angle
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
The direction of vector product is given by
1.head to tail rule
2.right hand rule
3.left hand rule
4.triangular rule
Posted Date:-2021-08-27 05:08:02
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?
Posted Date:-2021-08-27 05:08:02
The magnitude of i^. (j^ x k^) is
1.0
2.1
3.-1
4.i^
Posted Date:-2021-08-27 05:08:02
The period of a circular motion is given by
1.T = rV
2.T = ?w
3.T = 2??
4.T = 2?/?
Posted Date:-2021-08-27 05:08:02
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?
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
Torque acting on a body determines
1.acceleration
2.linear acceleration
3.angular acceleration
4.direction of motion of the body
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
Unit vector n^ is along
1.x-axis
2.normal on a surface
3.y-axis
4.z-axis
Posted Date:-2021-08-27 05:08:02
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?
Posted Date:-2021-08-27 05:08:02
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?
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02
Which one is not a correct relation?
1.AxB = -BxA
2.|AxB| = -|BxA|
3.AxB = AB Sin?n^
4.BxA = AB Sin?(-n^)
Posted Date:-2021-08-27 05:08:02
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.
Posted Date:-2021-08-27 05:08:02
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
Posted Date:-2021-08-27 05:08:02