The current in a circuit is defined as I=dqdt. If the charge (q) flowing through a circuit is given by q=(t2-3t+4), 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

Subtopic:  Differentiation |
 86%
From NCERT
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Work done by a force (F) in displacing a body by dx is given by W=Fx.dx. If the force is given as a function of displacement (x) by F(x)=(x2-2x+1)N, 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

Subtopic:  Integration |
 77%
From NCERT
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The impulse due to a force on a body is given by I=Fdt. If the force applied on a body is given as a function of time (t) as F=(3t2+2t+5)N, 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

Subtopic:  Integration |
 82%
From NCERT
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Which of the following option is not true, if A = 3i^ + 4j^ and B = 6i^ + 8j^, where \(\mathrm{A}\) and \(\mathrm{B}\) are the magnitudes of A and B?
1. A × B = 0

2. AB = 12

3. A·B = 48

4. \(\mathrm{A}=5\)

Subtopic:  Vector Product |
 72%
From NCERT
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The angle made by the vector A = 3i^ + 3j^ + 2k^ with y-axis is:

1.  sin-1314

2.  sin-174

3.  cos-143

4.  cos-135

Subtopic:  Scalar Product |
From NCERT
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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

Subtopic:  Resultant of Vectors |
 57%
From NCERT
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If A + B is perpendicular to A - B  , then which of the following statement is correct?

1.  A = B

2.  A  B

3.  A·B = zero

4.  A + B·A - B  0

Subtopic:  Scalar Product |
 55%
From NCERT
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The angle between the two vectors -2i^ + 3j^ + k^ and i^ + 2j^ - 4k^ is:

1. 0°

2. 90°

3. 180°

4. 45°

Subtopic:  Scalar Product |
 80%
From NCERT
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If a + b + c = 0; then which of the following statements is incorrect?

(1) a, b and c must each be a null vector.

(2) The magnitude of a+b equals the magnitude of c.

(3) The magnitude of ä can never be greater than the sum of the magnitudes of b and c

(4) ä must lie in the plane of b and c.

Subtopic:  Resultant of Vectors |
 60%
From NCERT
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When a force of magnitude F acts on a body of mass m the acceleration produced in the body is a. If three coplanar forces of equal magnitude F act on the same body as shown in the figure, then acceleration produced is

                                

1.  0

2.  3 +1a

3.  3 -1a

4.  3a

Subtopic:  Resultant of Vectors |
 81%
From NCERT
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