Explanation

When a dipole with dipole moment $vec{p}$ is placed in an external electric field $vec{E}$, the torque experienced by the dipole is given by:

$$vec{tau} = vec{p} times vec{E}$$

This is a vector cross product, so:

• The magnitude is $tau = pE sintheta$

• The direction is perpendicular to both p​ and E (using the right-hand rule)

Explanation

The value of heat energy (Q) in an adiabatic process is 0.

In an adiabatic process, no heat is exchanged with the surroundings, so Q = 0.

Explanation

The Twin Paradox is a consequence of time dilation in special relativity.

Explanation

The electromagnetic spectrum in order of increasing frequency (and energy) is:

1. Radio waves (lowest frequency)

2. Infrared (i)

3. Visible light (v)

4. Ultraviolet (u)

5. X-rays (x) (highest frequency among these)

So, the correct sequence from lowest to highest frequency is:
radio (r) < infrared (i) < visible (v) < ultraviolet (u) < x-rays (x)

Explanation

Focus is the point where the parallel beam of light rays originating from a point on the object converges.

Explanation

In the diffraction pattern of a single slit, the central maximum or the center is usually bright.

Explanation

 Andre-Marie Ampere discovered that a current-carrying conductor experiences a force when placed in a magnetic field.

This forms the basis of electromagnetism and is the principle behind electric motors.

Explanation

“Elaborate with examples, the first law of motion” indicates comprehension.

Explanation

The range of a projectile is maximized when sin2𝜃 = 1.

It occurs at an angle of 45∘ since 

sin90∘ = 1.

Explanation

Coulomb's Law states that the magnitude of the electrostatic force (F) between two point charges (q1 and q2) is directly proportional to the product of the charges and inversely proportional to the square of the distance (r) between them.

Mathematically, this is expressed as: F ∝ (q1 × q2) / r².

This law describes the relationship between electric charges and the force they exert on each other.