Explanation

In Simple Harmonic Motion (S.H.M.), frequency is a constant and does not depend on the particle's position (mean or extreme).

• At the mean position, the velocity is maximum, and the acceleration is zero, but the frequency remains constant throughout the motion.

Explanation

The time period of a simple pendulum is independent of its mass.

It depends on length and acceleration due to gravity:

T = 2π√L/g

Explanation

Atto (a) = 10⁻¹⁸

Femto (f) = 10⁻¹⁵

Nano (n) = 10⁻⁹

Peta (P) = 10¹⁵

So, Atto has the smallest (lowest) value.

Explanation

Let breadth =$B$ and length =$L$.

2(L+B)/B​=5

2L+2B=5B
2L=3B
$$L=1.5B$$

Explanation

Horizontal range in projectile motion is directly proportional to time of flight when speed is constant.

So, doubling the time results in double the distance covered.

Explanation

When light passes from a rarer to a denser medium, its speed and wavelength decrease, but the frequency stays the same.

This is because the source determines frequency, and it doesn’t change with medium.

Explanation

Gauss → Unit of magnetic induction (CGS system)

Tesla → SI unit of magnetic induction

Weber/Ampere·meter → This is a unit of magnetic permeability, not magnetic induction

Explanation

Using the formula for parallel resistance: 1/R_eq = 1/R1 + 1/R2

1/24 = 1/40 + 1/R

Solving for R gives R = 60Ω.

Explanation

In a pure (intrinsic) semiconductor:

• The number of electrons in the conduction band is equal to the number of holes in the valence band.

• As a result, the Fermi level lies midway between the conduction band and the valence band.

• This midpoint represents the energy level at which the probability of finding an electron is 50% at absolute zero.

This is a key difference from doped (extrinsic) semiconductors, where the Fermi level shifts depending on the type of doping (n-type or p-type).

Explanation

The energy gap (also called band gap) is the energy difference between the valence band (where electrons are bound) and the conduction band (where electrons are free to move).

• In conductors, the band gap is zero or overlaps.

• In semiconductors, the band gap is around 1 eV (e.g., silicon ≈ 1.1 eV).

• In insulators: The band gap is large, typically greater than 3 eV, and often around 5 eV or more.

This large gap in insulators prevents electrons from moving to the conduction band, making them poor conductors of electricity