Explanation

The presence of a dielectric material between the plates of a capacitor increases the capacitance of the capacitor.

The dielectric material reduces the electric field between the plates, allowing more charge to be stored on the plates, and thus increasing the capacitance.

Explanation

The magnitude of the force between two unit positive charges (each with a charge of 1 Coulomb) separated by a distance of 1 meter in a vacuum is given by Coulomb's Law:

F = k × (q1 × q2) / r^2

where:

F = force (in Newtons)

k = Coulomb's constant (approximately 8.98755 × 10^9 N m^2 C^2)

q1 and q2 are the charges (in Coulombs)

r is the distance between the charges (in meters)

Plugging in the values, we get:

F ≈ (8.98755 × 10^9 N m^2 C^2) × (1 C × 1 C) / (1 m)^2

F ≈ 8.98755 × 10^9 N

F ≈ 9 × 10^9 N (approximately)

Since 1 Newton is equal to 10^9 N (by definition), we can simplify the answer to:

F ≈ 1 N (approximately)

Explanation

All the isotopes of the same element have the same number of protons, which defines the element.

Different isotopes can exist depending on the neutron count.

Electrons are negatively charged and can counterbalance the positive charge of protons.

Also, they are present in equal numbers in neutral atoms of the same element.

Explanation

When two resistances are connected in parallel, the net resistance (Rnet) is calculated using the formula:

1/Rnet = 1/R1 + 1/R2

where R1 and R2 are the individual resistances.

In this case, R1 = 6 Ω and R2 = 12 Ω, so:

1/Rnet = 1/6 + 1/12 = 1/4

Rnet = 4 Ω

Therefore, the net resistance of the two resistances connected in parallel is 4 Ω.

Explanation

Electrostatics is the branch of physics that deals with the study of stationary electric charges, also known as static electricity.

It involves the study of electric charges at rest, their properties, and the forces that act upon them.

Explanation

In the ball and bowl system, the mean position (also known as the equilibrium position) is at the center of the bowl.

This is the position where the ball comes to rest when it is not disturbed.

Explanation

Protium (1H) is the lightest isotope of hydrogen, and it has no neutrons.

Its atomic nucleus consists of only one proton.

• Protons: 1
• Neutrons: 0
• Electrons: 1

Explanation

A turn ratio of 10 means that the secondary coil (Ns) has 10 times more turns than the primary coil (Np).

This is a step-up transformer, which increases the voltage and decreases the current.

Explanation

• Wavelength is the distance between two consecutive points on a wave that are in phase.
• It is typically denoted by the symbol λ (lambda).

Key Points:

• Time period (T) is the time taken by the wave to complete one oscillation.
• Frequency (f) is the number of oscillations per unit time.
• Amplitude (A) is the maximum displacement of the wave from its equilibrium position.

Explanation

Nuclear fission is a process in which a heavy, unstable nucleus splits into two or more smaller nuclei, releasing energy and often additional particles like neutrons.

This process is the opposite of nuclear fusion, where smaller nuclei combine to form a heavier nucleus.