which of the following statements about field lines is true?
a. field lines are always perpendicular to the surface of the object creating the field
b. field lines always point in the direction of the motion of the object creating the field
c. field lines never cross
d. field lines are always straight
e. field lines represent a force that remains uniform along the entire length of the field line
c. field lines never cross
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To determine which of the statements about field lines is true, we can go through each statement and see if it aligns with the characteristics of field lines:
a. Field lines are always perpendicular to the surface of the object creating the field: This statement is not necessarily true. Field lines can be perpendicular to the surface in some cases, such as for a point charge, but they can also be curved or have other orientations depending on the situation. Therefore, this statement is not always true.
b. Field lines always point in the direction of the motion of the object creating the field: This statement is also not true. Field lines represent the direction of the electric field or magnetic field at each point in space, not the motion of the object itself. The object creating the field may or may not be in motion, and the direction of the field lines depends on the properties of the object and the field it produces.
c. Field lines never cross: This statement is generally true. Field lines do not cross each other because they represent the direction of the field at each point in space. If they were to cross, it would mean that at the same point in space, there are two different directions for the field, which is not physically possible. So, field lines do not cross each other.
d. Field lines are always straight: This statement is not always true. Field lines can be straight in some cases, such as in a uniform electric or magnetic field, but they can also be curved or have other shapes depending on the configuration of the sources creating the field. Therefore, field lines are not always straight.
e. Field lines represent a force that remains uniform along the entire length of the field line: This statement is also not true. Field lines represent the direction of the field, not the magnitude or intensity of the force. The force experienced by a charged particle or a magnetic object depends on its position and the strength of the field at that point. So, the force along a field line can vary.
Therefore, out of the given statements, the only statement that is generally true is: c. Field lines never cross.