Test 4 Ch 5&6 Grad. Div. Curl Scalar and vector Triple Products Part 1

Q no1.Scalar Triple product of two vector is a?
Scalar Quantity
Vector Quantity
May be both
None

Q no2.If vectors A,B,C represents the sides of a parallelepiped then their scalar triple product will be?
A vector in plane of base of parallepiped
Volume of parallepiped
May be both
None of these

Q no 3. Scalar triple product of three vectors which are in same plane will be?
Non zero
Zero

Q no 4. If three vectors A,B&C are perpendicular to each others then their vector tripple product is?
Non zero
Zero

Q no 5. Laplace equation is a special case of?
Equation of continuity
Poisson equation
Bernoulli’s equation
None of these

Q no 6. The gradient of a vector field is?
Scalar
Vector
None of these

Q no 7. The divergence of a scalar field will always be?
A scalar
Vector
None

Q no 8. The curl of a vector field gives us?
Rotation in vector field
Vorticity
Circulation per unit area
All of these
Swirling

Q no 10. A vector field whose divergence is zero called?
Irrotational field
Solenoidal field

Q no 11. A vector field whose curl is zero is called?
Irrotational field
Solenoidal field
Constant field

Q no 12. The Laplacian of a scalar field is?
Always non zero
Zero

Q no 13. The Div(gradU) is?
Zero
Non zero

Q no 14. At any point Grad of a scalar field represents?
The directional derivative of scalar field
Maximum change w.r.t distance
Maximum change normal to the surface of scalar field
All of these

Q no 15. The divergence of a scalar field is positive when the hypothetical point in vector field behaves as?
sink for field lines
source for field lines
may be both
none of these

Q no 16. When the string breaks, the ball moves in the direction?
tangent to the circle
radially outwards
towards the center of circle

Q no 17. when a body is moving non uniformly in circular track then acceleration will have?
only radial component of acceleration
only tangential acceleration
both a and b
none of these

Q no 18.A small sphere of mass m is attached to the end of a cord of length R and set into motion in a vertical circle. The tension will be maximum?
at the top of the circle
at the bottom of the circle
points on side ways level to the center of circle
all points will have same value of tension

Q no 19. the chance of breaking of cord will maximum when a body is moving in horizontal circle with uniform velocity?
all points have same chances of breaking
points towards north and south
point at west
point towards east

Q no 20. if an object moving in vertical circle with a speed less than that of critical what will happen?
body can move easily
body will fall down when reaches at top
none of these

Q no 21. The ratio of minute and hour hand of watch is?
6:1
12:1
1:12
1:6

Q no 22. The angular speed in rad/hour for daily rotation of earth is?
2pi
4pi
pi/6
pi/12

Q no 23. in relation to linear and angular variable which relations are correct while equations are in vector form?
S=rxθ
S=θxr
both are correct
none

Q no 24. A 500kg mass take a round turn of radius 50m with velocity 36km/hour. the centripetal force will be?
250N
1000N
750N
1200N

Q no 25. time period of orbital motion of geostationary satellite is?
5060 s
84 min
12 hours
none of these

Oplus_0

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