Comparing Coulomb's Constant and Gravitational Constant

Q. A total charge $Q$ is broken in two parts $Q_1$ and $Q_2$ and they are placed at a distance $R$ from each other. The maximum force of repulsion between them will occur, when

1. $Q_2=\frac{Q}{R},Q_1=Q-\frac{Q}{R}$
2. $Q_2=\frac{Q}{4},Q_1=Q-\frac{2Q}{3}$
3. $Q_2=\frac{Q}{4},Q_1=\frac{3Q}{4}$
4. $Q_1=\frac{Q}{2},Q_2=\frac{Q}{2}$

Q. A total charge $Q$ is broken in two parts $Q_1$ and $Q_2$ and they are placed at a distance $R$ from each other. The maximum force of repulsion between them will occur, when

1. $Q_2=\frac{Q}{R},Q_1=Q-\frac{Q}{R}$
2. $Q_2=\frac{Q}{4},Q_1=Q-\frac{2Q}{3}$
3. $Q_2=\frac{Q}{4},Q_1=\frac{3Q}{4}$
4. $Q_1=\frac{Q}{2},Q_2=\frac{Q}{2}$

Q.

What are the dimensions of K (coulomb’s law constant)?

1. $\frac{N{m}^2}{C^2}$

2. $\frac{N{C}^2}{m^2}$

3. $\frac{Nm}{C^2}$

4. $\frac{NC}{m^2}$

Q. The closest numerical value to the ratio of permittivity of vaccum and gravitqtional constant is

1. ${10}^{-2}$
2. ${10}^{-1}$
3. ${10}^{-3}$
4. ${10}^{-4}$

Q. In S = a + bt + $c{t}^2$. S is measured in metres and t in seconds. The unit of c is

1. No dimensions
2. m
3. $m{s}^{-1}$
4. $m{s}^{-2}$