Which of the following is/are true about the acceleration due to gravity?
(i) The value of acceleration due to gravity depends on the mass of the object falling under the effect of gravity.
(ii) The value of acceleration due to gravity is universally constant.

Correct option is C

The correct answer is (c) Neither (i) nor (ii)

Explanation:
• Acceleration due to gravity (g) is technically defined as the uniform acceleration gained by an object moving freely solely under the influence of the gravitational force of a massive body.
• The controlling mathematical formula is $g = \frac{GM}{R^2}$, where M precisely represents the mass of the Earth (or massive body) and R corresponds to its planetary radius.
• Statement (i) is fundamentally false because the value of g strictly does not depend on the mass of the falling object; all objects logically fall at the exact same rate in a vacuum.
• Statement (ii) is empirically false because the value of g is definitely not a universal constant; it actively varies with changes in altitude, depth, and latitude across the Earth's surface.
• Therefore, examining both physical properties, neither of the provided statements is technically true.

Information Booster:
• The standardized average value of g acting on the surface of the Earth is scientifically accepted as approximately $9.8 \text{ m/s}^2$.
• Due to mass differences, the comparative value of g on the lunar surface (the Moon) is approximately one-sixth of its measured value on Earth.

Additional Knowledge:
Only (ii) (Option a)
• This option is decisively incorrect because only the Universal Gravitational Constant (G) maintains a universally constant value, absolutely not the local acceleration due to gravity (g).

Only (i) (Option b)
• This option is completely incorrect because Galileo famously demonstrated through physical experiments that acceleration due to gravity acts independently of the falling object's personal mass.

Both (Option d)
• This option is naturally incorrect since both of the explicitly given statements contain major fundamental misconceptions regarding Newtonian physics.

So the correct answer is (c)