The angle between and is θ. The value of the triple product .( × ) is
A2B
zero
A2B sin θ
A2B cos θ
The vectors and are such that | + | = | - | then angle between the two vectors will be
45°
60°
75°
90°
A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be
2 mv
mv √2
A boat is sent across a river with a velocity of 8 km h-1. If the resultant velocity of boat is 10 km h-1 , then velocity of river is
12.8 km h-1
6 km h-1
8 km h-1
10 km h-1
An engine exerts a force and moves with velocity . The power of the engine (in watt) is
45
75
20
10
A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are (√3, 3). The path of the particle makes with the x-axis an angle of
30°
0°
A bus is moving on a straight road towards north with a uniform speed of 50 km/h. If the speed remains unchanged after turning through 90°, the increase in the velocity of bus in the turning process is
7.07 km/h along south-west direction
50 km/h along west
70.7 km/h along north-west direction
Find the torque of a force acting at the point .
If , then the value of is
(A2 + A2 + AB)1/2
A + B
(A2 + B2 + √3 AB)1/2
A bullet is fired from a gun with a speed of 100 m/s in order to hit a target 100m away. At what height above the target should the gun be aimed? (The resistance of air is negligible and g = 10 m/s2)
5 cm
10 cm
15 cm
20 cm