Gravitation vs. Electrostatics

Q. The ratio of electrostatic and gravitational forces acting between electron and proton separated by a distance $5\times {10}^{-11}m$, will be (Charge on electron $=1.6\times {10}^{-19}C$, mass of electron $=9.1\times {10}^{–31}$ kg, mass of proton $=1.6\times {10}^{-27}kg,G=6.7\times {10}^{-11}N{m}^2/k{g}^2)$

1. $2.36\times {10}^{39}$
   
2. $2.36\times {10}^{40}$
   
3. $2.34\times {10}^{41}$
   
4. $2.34\times {10}^{42}$

Q.

If fish are flowing at a rate of 10 fish/$m^{2}s$, and the 10 $m^2$ net is dipped at an angle of ${60}^0$ in their path for 1 second, how many fish do we catch?

1. $50\sqrt{3}$

2. $50$

3. $60$

4. $100$

Q. A particle with a charge 2μC is hanging in air above a similarly charged conducting surface whose surface charge density is $43.3\times {10}^{-12}C/m^2$. The mass of particle is

1. 1mg

2. 1g

3. 1 kg

4. 10^-2 kg

Q. A particle with a charge 2μC is hanging in air above a similarly charged conducting surface whose surface charge density is $43.3\times {10}^{-12}C/m^2$. The mass of particle is

1. 1mg

2. 1g

3. 1 kg

4. 10^-2 kg

Q. $F_g$ and $F_e$represents gravitational and electrostatic force respectively between electrons situated at a distance 10 cm. The ratio of $\frac{F_g}{F_e}$ is of the order of

1. ${10}^{42}$
2. $10$
3. $1$
4. ${10}^{-43}$