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Test: Forces between Multiple Charges (NCERT) - NEET MCQ


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5 Questions MCQ Test Physics Class 12 - Test: Forces between Multiple Charges (NCERT)

Test: Forces between Multiple Charges (NCERT) for NEET 2024 is part of Physics Class 12 preparation. The Test: Forces between Multiple Charges (NCERT) questions and answers have been prepared according to the NEET exam syllabus.The Test: Forces between Multiple Charges (NCERT) MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Forces between Multiple Charges (NCERT) below.
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Test: Forces between Multiple Charges (NCERT) - Question 1

Two charges q and -3q are fixed on x-axis separated by distance d. Where should a third charge 2q be placed from A such that it will not experience any force?

Detailed Solution for Test: Forces between Multiple Charges (NCERT) - Question 1

image
Let a charge 2q be placed at P, at a distance l from A where charge q is placed, as shown in figure.
The charge 2q will not experience any force, when  force of repulsion on it due to q is balanced by force of attraction on it due to -3q at B where AB = d
or 
(l + d)2 = 3l2 or 2l2 - 2ld - d2 = 0

If charge 2q is placed between A and B then 

Test: Forces between Multiple Charges (NCERT) - Question 2

Consider the charges q, q and -q placed at the vertices of an equilateral triangle of each side l. The sum of forces acting on each charge is

Detailed Solution for Test: Forces between Multiple Charges (NCERT) - Question 2

From diagram, force on q1(= q) at A,


where  is the unit vector along BC 
Force on 
(where   is the unit vector along AC)
Force on q3(= -q) at C,

where  unit vector along the direction bisecting ∠BCA

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Test: Forces between Multiple Charges (NCERT) - Question 3

A charge Q is placed at the centre of the line joining two point charges +q and +q as shown in figure. The ratio of charges Q and q is

Detailed Solution for Test: Forces between Multiple Charges (NCERT) - Question 3

For the system to be in equilibrium, net force on q = 0 or 
or Q = (-q)/4 or Q/q = -(1/4)

Test: Forces between Multiple Charges (NCERT) - Question 4

Four point charges are placed at the corners of a square ABCD of side 10 cm, as shown in figure. The force on a charge of 1μC placed at the centre of square is

Detailed Solution for Test: Forces between Multiple Charges (NCERT) - Question 4

Forces of repulsion on 1μC charge at O due to 3 μC charge, at A and C are equal and opposite. So they cancel each other.
Similarly, forces of attraction of 1μC charge at O due to -4μC charges at B and D are also equal and opposite. So they also cancel each other.
Hence the net force on the charge of 1μC at O is zero. 

Test: Forces between Multiple Charges (NCERT) - Question 5

Three charges of equal magnitude q is placed at the vertices of an equilateral triangle of side l.The force on charge Q placed at the centroid of the triangle is 

Detailed Solution for Test: Forces between Multiple Charges (NCERT) - Question 5

 As shown in figured raw AD ⊥ BC.



Distance AO of the centroid O from A

∴ Force on Q at O due to charge q1 = q at A,

Similarly, force on O due to charge q2 = q at B
 along BO and force on Q due to charge q3 = q at c

Angle between forces F2 and F3 = 120°
By parallelogram law, resultant of  along OA
∴ Total force on Q = 

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