Explanation

Step 1: Parallel Combination

C_parallel = C + C = 2C

Step 2: Series with Third Capacitor

1/C_eq = 1/2C + 1/C

= (1/2C) + (2/2C)

= 3/2C

C_eq = 2C/3

Explanation

Impossible Situation:

Constant velocity requires zero acceleration (Newton’s First Law).

Variable acceleration would imply a changing net force, which must alter velocity (contradicting "constant velocity").

Possible Situations:

Zero velocity, non-zero acceleration:

Example: A ball at the top of its vertical toss (v=0, a=9.8 m/s² downward).

Velocity east, acceleration west:

Example: A car moving east while braking (deceleration acts west).

Velocity east, acceleration east:

Example: A car speeding up in the east direction.

Explanation

• When blue litmus paper is dipped in an acid, it turns red.
• This is because the acid changes the color of the litmus paper from blue to red.

Note: When red litmus paper is dipped in a base, it turns blue.

Explanation

Ionization energy (potential) is measured in:

• Electron volts (eV) (for single atoms).
• Kilojoules per mole (kJ/mol) (for molar quantities).

Explanation

Water is called the "universal solvent".

Because it dissolves more substances (e.g., salts, sugars, acids) than any other liquid due to its polarity (uneven charge distribution).

Explanation

The biosphere is the global ecological system integrating all living organisms (biotic) and their interactions with the non-living (abiotic) components (e.g., air, water, soil).

It spans from the deepest oceans to the atmosphere, encompassing all ecosystems where life exists.

Explanation

Explanation

Herbivores: These animals eat only plants.

The word "herbivore" comes from the Latin words "herba" (meaning plant) and "vorare" (meaning to eat).

Detritivores: These animals eat decaying organic matter.

Omnivores: These animals eat both plants and animals. 

Carnivores: These animals eat only meat. 

Explanation

The word "Trigonometry" comes from Greek: "trigonon" (triangle) and "metron" (measure).

It deals with the relationships between angles and sides of triangles.

The title of "father of trigonometry" is Hipparchus of Nicaea.

Explanation

By definition in mathematics, 0! = 1.

It helps maintain consistency in formulas like permutations and combinations.