If x=3tan(t) and y=sec(t), then the value of is:
1. 3
2.
3. 1
4. 1/6
A particle's position as a function of time is given by . The maximum value of the position co-ordinate of the particle is:
1. 8
2. 12
3. 3
4. 6
The equation of position (x) of a particle is given by . The maximum velocity of the particle is, if velocity is defined as :
1. +56 m/s
2. +46 m/s
3. +36 m/s
4. +26 m/s
The current in a circuit is defined as . The charge (q) flowing through a circuit, as a function of time (t), is given by . The minimum charge flows through the circuit at:
1. t=4 sec
2. t=2 sec
3. t= 6 sec
4. t=3 sec
Work done by a force (F) in displacing a body by dx is given by W=. If the force is given as a function of displacement (x) by , then work done by the force from x=0 to x=3 m is:
1. 3 J
2. 6 J
3. 9 J
4. 21 J
The impulse due to a force on a body is given by I=. If the force applied on a body is given as a function of time (t) as , then impulse on the body between t=3 sec to t = 5 sec is:
1. 175 kg-m/sec
2. 41 kg-m/sec
3. 216 kg-m/sec
4. 124 kg-m/sec
If is the angle between vectors , then which of the following is the unit vector perpendicular to ?
1.
2.
3.
4.
Which of the following option is not true, if and , where \(\mathrm{A}\) and \(\mathrm{B}\) are the magnitudes of ?
1.
2.
3.
4. \(\mathrm{A}=5\)
If is perpendicular to , then which of the following statement is correct?
1.
2.
3.
4.
The angle between the two vectors and is:
1. 0°
2. 90°
3. 180°
4. 45°