General
✓✗If the angle between the vectors 
and 
is q, the value of the product 
is equal to
and is q, the value of the product is equal to- BA2sinq
- BA2cosq
- BA2sinqcosq
- zero
General
✓✗The position vector of a particle 
as a function of time is given by 
where R is in meters, t is in seconds and 
and 
denote unit vectors along x-and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?
as a function of time is given by where R is in meters, t is in seconds and and denote unit vectors along x-and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?- Magnitude of the velocity of particle is 8 p meter/second
- Path of the particle is a circle of radius 4 meter
-
Acceleration vector is along –
-
Magnitude of acceleration vector is
, where v is the velocity of particle
General
✓✗Identify the vector quantity among the following.
- distance
- angular momentum
- heat
- energy
General
✓✗A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is
- 1 m/s2
- 7 m/s2
-
m/s2
- 5 m/s2
General
✓✗A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. The centripetal force is
- 1000 N
- 750 N
- 250 N
- 1200 N
General
✓✗In the given figure, a = 15 m s–2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time.
The speed of the particle is
The speed of the particle is
- 4.5 m s–1
- 5.0 m s–1
- 5.7 m s–1
- 6.2 m s–1
General
✓✗For angles of projection of a projectile at angle (45° – q) and (45° + q), the horizontal range described by the projectile are in the ratio of
- 2 : 1
- 1 : 1
- 2 : 3
- 1 : 2
General
✓✗The magnitude of vectors 
, 
and 
are 3, 4 and 5 units respectively. If 
, the angle between 
and 
is
, and are 3, 4 and 5 units respectively. If , the angle between and is- p/2
- cos–1 (0.6)
- tan–1 (7/5)
- p/4
General
✓✗A particle A is dropped from a height and another particle B is projected in horizontal direction with speed of 5 m/sec from the same height then correct statement is
- particle A will reach at ground first with respect to particle B
- particle B will reach at ground first with respect to particle A
- both particles will reach at ground simultaneously
- both particles will reach at ground with same speed
General
✓✗A particle has initial velocity 
and has acceleration 
. Its speed after 10 s is
and has acceleration . Its speed after 10 s is- 7 units
-
units
- 8.5 units
- 10 units
General
✓✗Six vectors, 
through 
have the magnitudes and directions indicated in the figure.
Which of the following statements is true?
through have the magnitudes and directions indicated in the figure. Which of the following statements is true?
General
✓✗Vectors, 
, 
and 
are such that 
and 
. Then the vector parallel to 
is
, and are such that and . Then the vector parallel to is-
-
-
-
and 
General
✓✗If a vector 
is perpendicular to the vector 
, then the value of a is
is perpendicular to the vector , then the value of a is- 1/2
- –1/2
- 1
- –1
General
✓✗If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is
- 45°
- 180°
- 0°
- 90°
General
✓✗Two particles A and B are connected by a rigid rod AB. The rod slides along perpendicular rails as shown here. The velocity of A to the left is 10 m/s. What is the velocity of B when angle a = 60°?
- 10 m/s
- 9.8 m/s
- 5.8 m/s
- 17.3 m/s