Explanation

For a straight wire, the induced current (I) depends on:

• The speed of movement of the wire (v): The faster the wire moves, the greater the induced current.
• The length of the wire (L): The longer the wire, the greater the induced current.
• The magnitude of the magnetic flux density (B): The stronger the magnetic field, the greater the induced current.

The induced current is given by Faraday's law of induction: I = -BLv

Where:

• I is the induced current
• B is the magnetic flux density
• L is the length of the wire
• v is the speed of movement of the wire

Explanation

Refractive index is both unitless and dimensionless. 

Refractive index is defined as the ratio of the speed of light in a vacuum to the speed of light in a medium.

Since both speeds have the same units (meters per second),

The units cancel out, making refractive index a dimensionless quantity.

It's also unitless because it doesn't have any associated units

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

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

According to Einstein’s equation E = mc², where c = 3 × 10⁸ m/s (speed of light),

E = 1 × (3 × 10⁸)² = 9 × 10¹⁶ joules.

This shows that 1 kg of mass can be converted into 9 × 10¹⁶ joules of energy.

Explanation

 The direction of a vector in space is typically specified by three angles.

These angles, often referred to as azimuth, elevation, and tilt (or polar/inclination), describe the vector's orientation in 3D space relative to a chosen reference frame. 

Explanation

Back e.m.f (electromotive force) is the voltage opposing the applied voltage, commonly seen in motors and inductive circuits.

When back e.m.f = 0, there is no opposing voltage, so the entire applied voltage appears across the circuit's resistance.

From Ohm's Law:

I=V−back e.m.f​/R

If back e.m.f = 0, then

I=V/R​(maximum possible current)

Explanation

Electronic transitions occur when electrons jump between energy levels in an atom.

These transitions typically release photons in the infrared, visible, or ultraviolet regions — depending on the energy difference.

γ-radiations (gamma rays) are high-energy photons emitted from the nucleus, not from electronic transitions.

They are associated with nuclear reactions, not electronic energy level changes.

Explanation

In projectile motion, the velocity is maximum at the point of projection and just before hitting the ground,

Because that’s where the full initial speed is present (both vertical and horizontal components).

At the highest point, the vertical component becomes zero,

And only the horizontal velocity remains, so the overall speed is less than at the point of projection.

Explanation

In projectile motion, the vertical velocity changes due to gravity.

It increases downward and decreases upward, so it varies at every point.