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Find the force of interaction between 60 stat coulomb and 37.5 stat coulomb spaced 7.5cm apart in transformer oil(εr=2.2) in 10-4 N,
Answer: d Explanation: 1 stat coulomb = 1/(3 X 109) C F = (1.998 X 1.2488 X 10-16)/(4∏ X 8.854 X 10-12 X 2.2 X (7.5 X 10-2)2) = 1.815 X 10-4 N.
Answer: d
See lessExplanation: 1 stat coulomb = 1/(3 X 109) C
F = (1.998 X 1.2488 X 10-16)/(4∏ X 8.854 X 10-12 X 2.2 X (7.5 X 10-2)2) = 1.815 X 10-4 N.
Two charges 1C and -4C exists in air. What is the direction of force?
Answer: c Explanation: Since the charges are unlike, the force will be attractive. Thus the force directs from 1C to -4C.
Answer: c
See lessExplanation: Since the charges are unlike, the force will be attractive. Thus the force
directs from 1C to -4C.
Find the force between 2C and -1C separated by a distance 1m in air(in newton).
Answer: b Explanation: F = q1q2/(4∏εor2) = -2 X 9/(10-9 X 12) = -18 X 109.
Answer: b
See lessExplanation: F = q1q2/(4∏εor2) = -2 X 9/(10-9 X 12) = -18 X 109.
Coulomb law is employed in
Answer: a Explanation: Coulomb law is applied to static charges. It states that force between any two point charges is proportional to the product of the charges and inversely proportional to square of the distance between them. Thus it is employed in electrostatics.
Answer: a
See lessExplanation: Coulomb law is applied to static charges. It states that force between any
two point charges is proportional to the product of the charges and inversely proportional to square of the distance between them. Thus it is employed in electrostatics.
Coulomb is the unit of which quantity?
Answer: b Explanation: The standard unit of charge is Coulomb. One coulomb is defined as the 1 Newton of force applied on 1 unit of electric field.
Answer: b
See lessExplanation: The standard unit of charge is Coulomb. One coulomb is defined as the 1
Newton of force applied on 1 unit of electric field.
Divergence theorem computes to zero for a solenoidal function. State True/False.
Answer: a Explanation: The divergence theorem is given by, ∫∫ F.dS = ∫∫∫ Div (F).dV, for a function F. If the function is solenoidal, its divergence will be zero. Thus the theorem computes to zero.
Answer: a
See lessExplanation: The divergence theorem is given by, ∫∫ F.dS = ∫∫∫ Div (F).dV, for a function F. If the function is solenoidal, its divergence will be zero. Thus the theorem computes to zero.
For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π2 m.
Answer: b Explanation: Div (F) = 4 + 7 + 1 = 12. The divergence theorem gives ∫∫∫(12).dV, where dV is the volume of the cone πr3h/3, where r = 1/2π m and h = 4π2 m. On substituting the radius and height in the triple integral, we get 2 units.
Answer: b
See lessExplanation: Div (F) = 4 + 7 + 1 = 12. The divergence theorem gives ∫∫∫(12).dV, where
dV is the volume of the cone πr3h/3, where r = 1/2π m and h = 4π2 m. On substituting the radius and height in the triple integral, we get 2 units.
Find the divergence theorem value for the function given by (ez , sin x, y2 )
Answer: b Explanation: Since the divergence of the function is zero, the triple integral leads to zero. The Gauss theorem gives zero value.
Answer: b
See lessExplanation: Since the divergence of the function is zero, the triple integral leads to zero. The Gauss theorem gives zero value.
If a function is described by F = (3x + z, y2 − sin x2z, xz + yex5), then the divergence theorem value in the region 0<x<1, 0<y<3 and 0<z<2 will be
Answer: c Explanation: Div (F) = 3 + 2y + x. By divergence theorem, the triple integral of Div F in the region is ∫∫∫ (3 + 2y + x) dx dy dz. On integrating from x = 0->1, y = 0->3 and z = 0- >2, we get 39 units
Answer: c
See lessExplanation: Div (F) = 3 + 2y + x. By divergence theorem, the triple integral of Div F in the region is ∫∫∫ (3 + 2y + x) dx dy dz. On integrating from x = 0->1, y = 0->3 and z = 0- >2, we get 39 units
The divergence theorem value for the function x2 + y2 + z2 at a distance of one unit from the origin is
Answer: d Explanation: Div (F) = 2x + 2y + 2z. The triple integral of the divergence of the function is ∫∫∫(2x + 2y + 2z)dx dy dz, where x = 0->1, y = 0->1 and z = 0->1. On integrating, we get 3 units.
Answer: d
See lessExplanation: Div (F) = 2x + 2y + 2z. The triple integral of the divergence of the function is ∫∫∫(2x + 2y + 2z)dx dy dz, where x = 0->1, y = 0->1 and z = 0->1. On integrating, we get 3 units.