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
The current in a circuit is defined as . If the charge (q) flowing through a circuit is given by current flowing through the circuit is equal to zero at:
1. t=3 sec
2. t=2 sec
3. t=1.5 sec
4. t=15 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
Which of the following option is not true, if and , where \(\mathrm{A}\) and \(\mathrm{B}\) are the magnitudes of ?
1.
2.
3.
4. \(\mathrm{A}=5\)
In the space, if the sum of vectors of unequal magnitude is zero, then the minimum number of vectors are
(1) 2
(2) 3
(3) 4
(4) 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°
If ; then which of the following statements is incorrect?
(1) must each be a null vector.
(2) The magnitude of equals the magnitude of .
(3) The magnitude of ä can never be greater than the sum of the magnitudes of and
(4) ä must lie in the plane of and .