# If vector field F-(αxy+βz3)ux+(3x2-γz)uy+(3xz2-y)uz is irrotational, then value of α, β and γ is

1.  α=β=γ=1

2.  α=β=1, γ=0

3.  α=0, β=γ=1

4.  α=β=γ=0

4

α=β=γ=1

Explanation :
No Explanation available for this question

# If vectors are conservative

1.  is solenoidal

2.  is conservative

3.  solenoidal

4.  solenoidal

4 is solenoidal

Explanation :
No Explanation available for this question

# The value of along a circle of radius 2 units is

1.  zero

2.  2π

3.  4π

4.  8π

5.

5

zero

Explanation :
No Explanation available for this question

# Given figure represents variation of electric filed E

1.  due to a spherical volume charge Q=Q1+Q2

2.  due to two concentric shells of charges Q1 and Q2 uniformly distributed over spheres of radii R1 and R2

3.  due to two point charges Q1and Q2 located at any two points 'r'(= R1 and R2)

4.  in a single spherical shell of charges Q uniformly distributed , Q= Q1+Q2

4

due to two concentric shells of charges Q1 and Q2 uniformly distributed over spheres of radii R1 and R2

Explanation :
No Explanation available for this question

# Charge needed within a unit sphread centred at the origin for producing a potential field V=-6r5/0, for r≤1

1.  12πC

2.  60πC

3.  120πC

4.  180πC

4

60πC

Explanation :
No Explanation available for this question

# The region between two concentric conducting cylinders with radii of 2 and 5 cm contains a volume charge distribution of -10-8(1+10r) C/m3. If Er and V both are zero at the inner cylinder will be

1.  0.506V

2.  5.06V

3.  50.6V

4.  506V

4

0.506V

Explanation :
No Explanation available for this question

# The sinusoidally time-varying vector field F=2 cos (wt+300)x +2cos (wt)-300)y is

1.  elliptically polarized

2.  circularly polarized

3.  linearly polarized

4.  unpolarized

4

elliptically polarized

Explanation :
No Explanation available for this question

# Consider a conducting cylinder along the z-axis in a uniform field Eas shown in the given figure. P-component to electric field strength in the region outside the cylinder is given by (a = radius of cylinder surface)

1.  Ep=(a2/p2 +1)Ex cos φ

2.  Ep=(a2/p2 +1)Ex cos φ

3.  Ep=(p2/a2)Ex cos φ

4.  Ep=( p2 +a2/p2a2)Ex sin φ

4

Ep=(a2/p2 +1)Ex cos φ

Explanation :
No Explanation available for this question

# If F=x2yux-yuy, then circulation of vector field F around closed path shown in the figure is

1.  7/3

2.  -7/6

3.  7/6

4.  -7/3

4

7/6

Explanation :
No Explanation available for this question

# Two vectors are RAM=20ux+18uy-18uz and RAN=--10ux+18uy+15uz. The unit vector in the plane of the triangle that bisects the interior angle at A is

1.  0.168ux+0.915uy+0.367uz

2.  0.729ux+0.134uy-0.672uz

3.  0.729ux+0.134uy+0.672uz

4.  0.168ux+0.915uy-0.367uz

4