Let a=2i+ j-2k and b =i+j. If c is a vector such that a. c=|c|,|c-a|=2 and the angle between (a xb) and c is 30o, then |(a x b) xc|=
2/3
3/2
2
3
The volume of the parallelepiped whose sides are given by is
4
None of these
The angle between the vectors and is ____.
30°
45°
60°
90°
/
20
23
26
If a vector is parallel to another vector then the resultant of the vector will be equal to ____.
A
Zero vector
Zero
The kinetic energy of a body is stated to increase by 300 percent. The corresponding increase in momentum of the body will be
50
100
200
300 percent
Two particles with masses in the ratio 1:4 are moving with equal kinetic energies. The magnitude of their linear momentums will confirm to the ratio
1 : 8
1 : 2
4 : 1
Two balls of mass 2 kg and 4 kg respectively are connected to the two ends of a spring. The balls are pressed together and placed on a smooth table. When released, the lighter ball moves with an acceleration of 2 m/s2. The acceleration of the heavier ball will be
0.5 m/s2
1 m/s2
2 m/s2
4 m/s2
While launching a rocket of mass 2 * 104 kg, a force of 5 * 105 is applied for 20 seconds. The velocity attained by the rocket at the end of 20 seconds would be
350 m/s
500 m/s
750 m/s
900 m/s
A 150 gm cricket ball moving at 20 m/s is caught by a player and the catching process is completed in 0.1 second. The force of blow exerted by the ball on the hands of player is
3 N
8 N
24 N
30 N