Question

The figure shows the E-field in the plane of two point charges.
TrueFalse The magnitude of E is the same at a and b.
TrueFalse A − charge at a would accelerate to the left.
TrueFalse Q₁ and Q₂ have the same sign.
TrueFalse The size of Q₁ is larger than that of Q₂.
TrueFalse Q₁ is positive.
TrueFalse A + charge at c would accelerate to the right.

Answer 1

(1)

The magnitude of electric field is directly proportional to number electric field lines.

Number of electric field lines is not same at a and b. so, the magnitude of the electric field is not same at a and b.

Given statement is FALSE.

(2)

The electric field points towards left at a. Here, force on a negative charge is in opposite direction towards right.

So, a negative charge at a would accelerate to the right.

Given statement is FALSE.

(3)

The electric field lines point from positive to negative charge. in given figure lines point from Q1 to Q2.

So,  Q1 and Q2 do not have the same sign.

Given statement is FALSE.

(4)

number of electric field lines from Q1 are more than Q2. so, electric field is more at Q1.

Thus, Q1 is larger than that of Q2.

Given statement is TRUE.

(5)

In the given figure electric field lines point from Q1 to Q2.

so, Q1 is positive.

Given statement is TRUE.

(6)

The electric field points towards right at c. Here, force on a positive charge is towards right.

So, a positive charge at c would accelerate to the right.

Given statement is TRUE.