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Multiple Choice Questions
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1.
The direction of circulation is determined by
1 point
a) Left handed screw rule
b) right handed screw rule
c) fleming’s left hand rule
d) none of these
Other:
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2. The external torque does not act on the particles are
1 point
a) free or force is either parallel or antiparallel to r vector
b) free or force is either parallel or perpendicular to r vector
c) bound or force is either parallel or antiparallel to r vector
d) none of above
Other:
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3. The linear potential of system of particles w.r.t centre of mass is
1 point
a) infinity
b) constant
c) zero
d) integer
Other:
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4. The vector sum of the moments of masses of system of particles about the centre of mass is
1 point
a) infinity
b) definite value
c) constant
d) zero
Other:
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5. The cartesian coordinates of particle moving in XY plane at any time are 3t, 2t^ 2 (i.e 2t square) cm. Find r and θ at t=2 sec.
2 points
A) 5 cm and 50.13 degree
B) 5 cm and 53.13 degree
C) 10 cm and 50.13 degree
D) 10 cm and 53.13 degree
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6. The plan co-ordinates of a point are (4, 30^ ₒ, 60^ ₒ). Find its Cartesian co-ordinates
2 points
a) (12, 4 root 3, 8)
b) (6, 2 root 3, 4)
c) (1, root 3, 2 root 3)
d) (2, root 3, 2 root 3)
Other:
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7. The vectors A= 2 i ̂ - 2 j ̂ + 2 k ̂ and B= 3 i ̂ + j ̂ - 4 k ̂ and C = 4 i ̂ - 2 j ̂ + 3 k ̂ form three edges of a parallelopiped. Find its volume :
2 points
A) 25 units
B) 11 units
C) 20 units
D) 24 units
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8. Given two vectors A= 2 i ̂ + j ̂ - k ̂ and B= i ̂ - k ̂ . Find angle between A and B vector ?
2 points
A) 45^ ₒ
B) 90 ^ ₒ
C) 60 ^ ₒ
D) 30 ^ ₒ
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9. Given a vectors R= x i ̂ +2y j ̂ + z k ̂ . Find the value of ∇.R ?
2 points
A) 2
B) 3
C) 4
D) Zero
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10.
Electric field E can be written as
1 point
a) –Gradient of V
b) Gradient of V
c) -Laplacian of V
d) Laplacian of V
Other:
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11.
Divergence and curl of a vector field are
1 point
a) scalar and scalar
b) vector and vector
c) scalar and vector
d) vector and scalar
Other:
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12.
A vector field with vanishing curl is called
1 point
a) rotational
b) irrotational
c) solenoidal
d) lydoidal
Other:
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13.
A field in which a test charge around any closed surface in static path is zero is called
1 point
a) solenoidal
b) rotational
c) irrotational
d) conservative
Other:
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14.
Given that f (x,y,z) = sin (x,y,z) , What is del f ?
1 point
a) xz sin (x,y,z) i ̂ + xz sin (x,y,z) j ̂ + xz sin (x,y,z) k ̂
b) xy cos (x,y,z) i ̂ + yz cos (x,y,z) j ̂ + xz cos (x,y,z) k ̂
c) yz cos (x,y,z) i ̂ + xz cos (x,y,z) j ̂ + xy cos (x,y,z) k ̂
d) yz cos (x,y,z) i ̂ + xy cos (x,y,z) j ̂ + xz cos (x,y,z) k ̂
Other:
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15. The vector A= x y i ̂ + (x-y) k ̂ . Find the curl of vector A at the point (2,3,0)
2 points
A) -i ̂ - j ̂ - 2 k ̂
B) -i ̂ - 2 j ̂ - 2 k ̂
C) i ̂ - j ̂ - 2 k ̂
D) -i ̂ - j ̂ - 4 k ̂
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16. Determine the constant b so that the vector field A= x^2 i ̂ + (y-2xy) j ̂ + (x+bz) k ̂ is solenoidal. (x^2 is x square)
2 points
A) Zero
B) -1
C) 1
D) 2
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17. Given a vector A= x i ̂ + y j ̂ + z k ̂. Determine its vector field
1 point
A) rotational
B) Irrotational
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18. Volume flux density of the vector field is given by
1 point
A) Gradient of vector
B) Curl of vector
C) divergence of vector
D) integral of vector
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