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The scalar factor of Cartesian system is unity. State True/False.
Answer: a Explanation: The range of Cartesian system is one to infinity. Thus the minimum scalar value of the system is unity.
Answer: a
See lessExplanation: The range of Cartesian system is one to infinity. Thus the minimum scalar value of the system is unity.
charge is placed in a square container. The position of the charge with respect to the origin can be found by
Answer: c Explanation: Since the container possesses dimensions of a square (length, breadth and height), it can be found by Cartesian system.
Answer: c
See lessExplanation: Since the container possesses dimensions of a square (length, breadth and height), it can be found by Cartesian system.
The volume of a parallelepiped in Cartesian is
Answer: a Explanation: The volume of a parallelepiped is given by product of differential length, breadth and height.
Answer: a
See lessExplanation: The volume of a parallelepiped is given by product of differential length,
breadth and height.
The Cartesian system is also called as
Answer: b Explanation: The other name for Cartesian is rectangular system, which is given by (x,y,z).
Answer: b
See lessExplanation: The other name for Cartesian is rectangular system, which is given by
(x,y,z).
When a vector is irrotational, which condition holds good?
Answer: b Explanation: Stoke’ theorem is given by, ∫ A.dl = ∫ (Curl A). ds, when curl is zero(irrotational), the theorem gives zero value.
Answer: b
See lessExplanation: Stoke’ theorem is given by, ∫ A.dl = ∫ (Curl A). ds, when curl is
zero(irrotational), the theorem gives zero value.
A field has zero divergence and it has curls. The field is said to be
Answer: b Explanation: Since the path is not divergent, it is solenoidal and the path has curl, thus rotational.
Answer: b
See lessExplanation: Since the path is not divergent, it is solenoidal and the path has curl, thus rotational.
The magnetic field intensity is said to be
Answer: c Explanation: By Maxwell’s equation, the magnetic field intensity is solenoidal due to the absence of magnetic monopoles.
Answer: c
See lessExplanation: By Maxwell’s equation, the magnetic field intensity is solenoidal due to the absence of magnetic monopoles.
A vector is said to be solenoidal when its
Answer: a Explanation: When the divergence of a vector is zero, it is said to be solenoidal /divergent-free.
Answer: a
See lessExplanation: When the divergence of a vector is zero, it is said to be solenoidal
/divergent-free.
Identify the correct vector identity.
Answer: c Explanation: By standard proof, Div (u X v) = v . Curl(u) – u . Curl (v).
Answer: c
See lessExplanation: By standard proof, Div (u X v) = v . Curl(u) – u . Curl (v).
The curl of gradient of a vector is non-zero. State True or False
Answer: b Explanation: The differential flow of flux in a vector is a vector. The curl of this quantity will be zero.
Answer: b
See lessExplanation: The differential flow of flux in a vector is a vector. The curl of this quantity will be zero.