Question

In the equation \(\bigg[X + {\frac{a}{Y^2}}\bigg] [Y - b] = RT\), X is pressure, Y is volume, R is universal gas constant and T is temperature. The physical quantity equivalent to the ratio \(\frac{a}{b}\) is 

• A. Energy
• B. Pressure gradient
• C. Impulse
• D. Coefficient of viscosity

Answer 1

The Correct Option is A

The force between two charges is given by Coulomb's law: \[ F = \frac{k q_1 q_2}{r^2}, \] where \( F \) is the force, \( k \) is Coulomb's constant, \( q_1 \) and \( q_2 \) are the magnitudes of the charges, and \( r \) is the distance between them. If the distance \( r \) is doubled, the new distance becomes \( 2r \). The new force \( F' \) is: \[ F' = \frac{k q_1 q_2}{(2r)^2} = \frac{k q_1 q_2}{4r^2} = \frac{F}{4}. \] Thus, the force decreases by a factor of 4 when the distance is doubled. Hence, the correct answer is \( \boxed{(1)} \).