The volume flow rate of water flowing out of a tubewell is given by Q = (3t2 - 4t +1) m3/sec. What volume of water will flow out of the tubewell in the third second if the volume flow rate is defined as Q = dVdt?

1. 10 m3

2. 17 m3

3. 36 m3

4. 34 m3

Subtopic:  Integration |
 62%
From NCERT
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Find dydx , if y = t3+1 and  x = t2 + 3.

1. t23

2. t2

3. 3t2

4. t2

Subtopic:  Differentiation |
 85%
From NCERT
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A thin wire bent to form a circle and carrying a current I has a magnetic moment M. The shape of the wire is changed to a square and it carries the same current. It will have a magnetic moment

(1) πM4

(2) M4

(3) M

(4) πM

 52%
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What is the maximum value of 5sinθ – 12cosθ?

1.  12

2.  17

3.  7

4.  13

Subtopic:  Trigonometry |
 53%
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If A×B=C+D, then which of the following statement is correct?

1. B must be perpendicular to C

2. A must be perpendicular to C

3. Component of C along A = Component of D along A

4. Component of C along A = - (Component of D along A

Subtopic:  Vector Product |
 53%
From NCERT
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A scalar quantity is one that:

1. is conserved in a process.
2. will never accept negative values.
3. must be dimensionless.
4. has the same value for observers with different orientations of axes.

Subtopic:  Scalars & Vectors |
 61%
From NCERT
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Given below are two statements: 

Statement I: A vector must have, magnitude and direction.
Statement II: A physical quantity cannot be called a vector if its magnitude is zero.
 
1. Statement I is false but Statement II is true.
2. Both Statement I and Statement II are true.
3. Both Statement I and Statement II are false.
4. Statement I is true but Statement II is false.
Subtopic:  Vector Product |
From NCERT
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Given below are two statements: 

Statement I: Three vectors equal in magnitude cannot produce zero resultant.
Statement II: Minimum four vectors are required to produce zero resultant.
 
1. Statement I is false but Statement II is true.
2. Both Statement I and Statement II are true.
3. Both Statement I and Statement II are false.
4. Statement I is true but Statement II is false.
Subtopic:  Resultant of Vectors |
From NCERT
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Given are two vectors,  A= (2i^ - 5j^ + 2k^) and B = (4i^ - 10j^ + ck^). What should be the value of c so that vector A and B would become parallel to each other?

1.  1

2.  2

3.  3

4.  4

Subtopic:  Vector Product |
 70%
From NCERT
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Two forces of the same magnitude are acting on a body in the East and North directions, respectively. If the body remains in equilibrium, then the third force should be applied in the direction of:

1. North-East

2. North-West

3. South-West

4. South-East

Subtopic:  Resultant of Vectors |
 74%
From NCERT
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