Explanation

Kinetic energy (K.E) in terms of momentum is given by the formula:

K.E = p² / (2m)

Where:  

- p is momentum  

- m is mass  

Explanation

Molten NaCl conducts electricity because of the presence of free ions. 

When sodium chloride (NaCl) melts, the ionic bonds holding the sodium (Na+) and chloride (Cl-) ions together break, allowing them to move freely within the liquid.

These mobile ions can carry electrical charge, thus enabling the molten salt to conduct electricity. 

Explanation

 A LASER beam can be sharply focused because it is highly coherent. 

Coherence refers to the well-organized nature of light waves in a laser beam, where all the waves are in phase with each other, allowing them to be concentrated into a small, focused spot

Explanation

Explanation

 An autotrophic organism is an organism that produces its food, so the correct answer is Algae. 

Algae use photosynthesis to create their own food from sunlight, water, and carbon dioxide, making them a prime example of an autotroph. 

Explanation

• One parallel to the field (causes straight motion)
• One perpendicular to the field (causes circular motion)

Explanation

The electrostatic force between two charges is given by Coulomb’s Law:

F = k * q₁ * q₂ / R²

If a total charge Q is divided into two parts: q and Q−q, the force becomes:

F = k * q * (Q − q) / R²

To maximize F, differentiate F with respect to q and set dF/dq = 0:

dF/dq = k/R² * [Q − 2q] = 0  

⇒ Q − 2q = 0  

⇒ q = Q/2

Explanation

The speed of sound in an ideal gas is proportional to √(P/ρ).  

But at constant temperature, P/ρ remains constant for gases (since both pressure and density scale equally).  

So, the velocity of sound is independent of pressure if temperature is constant.

Hence, ratio = 1:1.

Explanation

The enzyme responsible for breaking down starch into maltose in the human digestive system is amylase. 

Amylase is an enzyme produced in the saliva and pancreas that specifically breaks down starch into smaller sugar molecules like maltose

Explanation

The cerebellum is primarily responsible for coordinating muscle movements, maintaining balance, and posture.

It receives information from sensory systems about the body's position and movement, and then sends signals to muscles to fine-tune movements.

This allows for smooth and coordinated movements, accurate muscle tone, and stable posture.

It also plays a role in motor learning.