ELECTROSTATIC FORCE
Electric Charges and Fields

267938 In a liquid medium of dielectric constant\(K\) and of specific gravity 2 , two identically charged spheres are suspended from a fixed point by threads of equal lengths. The angle between them is 90 . In another medium of unknown dielectric constant \(K^{1}\), and specific gravity 4 , the angle between them becomes 120 . If density of material of spheres is \(8 \mathrm{gm} / \mathrm{cc}\) then \(\mathrm{K}^{1}\) is :

1 \(\frac{K}{2}\)
2 \(\frac{\sqrt{3}}{K}\)
3 \(\frac{\sqrt{3}}{2} K\)
4 \(\frac{K}{\sqrt{3}}\)
Electric Charges and Fields

267939 The force of attraction between two charges separated by certain distance in air is\(\mathrm{F}_{1}\). If the space between the charges is completely filled with dielectric of constant 4 the force becomes \(F\). If half of the distance between the charges is filled with same dielectric the force between the charges is \(F_{3}\). Then \(F_{1}: F_{2}: F_{3}\) is

1 \(16: 9: 4\)
2 \(9: 36: 16\)
3 \(4: 1: 2\)
4 \(36: 9: 16\)
Electric Charges and Fields

267940 Two small spheres of masses,\(M_{1}\) and \(M_{2}\) are suspended by weightless insulating threads of lengths \(L_{1}\) and \(L_{2}\). the sphere carry charges \(Q_{1}\) and \(Q_{2}\) respectively. The spheres are suspended such that they are in level with another and the threads are inclined to the vertical at angles of \(\theta_{1}\) and \(\theta_{2}\) as shown below, which one of the following conditions is essential, if \(\theta_{1}=\theta_{2}\).

1 \(M_{1} \neq M_{2}\) but \(Q_{1}=Q_{2}\)
2 \(M_{1}=M_{2}\)
3 \(Q_{1}=Q_{2}\)
4 \(L_{1}=L_{2}\)
Electric Charges and Fields

267938 In a liquid medium of dielectric constant\(K\) and of specific gravity 2 , two identically charged spheres are suspended from a fixed point by threads of equal lengths. The angle between them is 90 . In another medium of unknown dielectric constant \(K^{1}\), and specific gravity 4 , the angle between them becomes 120 . If density of material of spheres is \(8 \mathrm{gm} / \mathrm{cc}\) then \(\mathrm{K}^{1}\) is :

1 \(\frac{K}{2}\)
2 \(\frac{\sqrt{3}}{K}\)
3 \(\frac{\sqrt{3}}{2} K\)
4 \(\frac{K}{\sqrt{3}}\)
Electric Charges and Fields

267939 The force of attraction between two charges separated by certain distance in air is\(\mathrm{F}_{1}\). If the space between the charges is completely filled with dielectric of constant 4 the force becomes \(F\). If half of the distance between the charges is filled with same dielectric the force between the charges is \(F_{3}\). Then \(F_{1}: F_{2}: F_{3}\) is

1 \(16: 9: 4\)
2 \(9: 36: 16\)
3 \(4: 1: 2\)
4 \(36: 9: 16\)
Electric Charges and Fields

267940 Two small spheres of masses,\(M_{1}\) and \(M_{2}\) are suspended by weightless insulating threads of lengths \(L_{1}\) and \(L_{2}\). the sphere carry charges \(Q_{1}\) and \(Q_{2}\) respectively. The spheres are suspended such that they are in level with another and the threads are inclined to the vertical at angles of \(\theta_{1}\) and \(\theta_{2}\) as shown below, which one of the following conditions is essential, if \(\theta_{1}=\theta_{2}\).

1 \(M_{1} \neq M_{2}\) but \(Q_{1}=Q_{2}\)
2 \(M_{1}=M_{2}\)
3 \(Q_{1}=Q_{2}\)
4 \(L_{1}=L_{2}\)
Electric Charges and Fields

267938 In a liquid medium of dielectric constant\(K\) and of specific gravity 2 , two identically charged spheres are suspended from a fixed point by threads of equal lengths. The angle between them is 90 . In another medium of unknown dielectric constant \(K^{1}\), and specific gravity 4 , the angle between them becomes 120 . If density of material of spheres is \(8 \mathrm{gm} / \mathrm{cc}\) then \(\mathrm{K}^{1}\) is :

1 \(\frac{K}{2}\)
2 \(\frac{\sqrt{3}}{K}\)
3 \(\frac{\sqrt{3}}{2} K\)
4 \(\frac{K}{\sqrt{3}}\)
Electric Charges and Fields

267939 The force of attraction between two charges separated by certain distance in air is\(\mathrm{F}_{1}\). If the space between the charges is completely filled with dielectric of constant 4 the force becomes \(F\). If half of the distance between the charges is filled with same dielectric the force between the charges is \(F_{3}\). Then \(F_{1}: F_{2}: F_{3}\) is

1 \(16: 9: 4\)
2 \(9: 36: 16\)
3 \(4: 1: 2\)
4 \(36: 9: 16\)
Electric Charges and Fields

267940 Two small spheres of masses,\(M_{1}\) and \(M_{2}\) are suspended by weightless insulating threads of lengths \(L_{1}\) and \(L_{2}\). the sphere carry charges \(Q_{1}\) and \(Q_{2}\) respectively. The spheres are suspended such that they are in level with another and the threads are inclined to the vertical at angles of \(\theta_{1}\) and \(\theta_{2}\) as shown below, which one of the following conditions is essential, if \(\theta_{1}=\theta_{2}\).

1 \(M_{1} \neq M_{2}\) but \(Q_{1}=Q_{2}\)
2 \(M_{1}=M_{2}\)
3 \(Q_{1}=Q_{2}\)
4 \(L_{1}=L_{2}\)