Explanation

Compton shift formula:

Δλ = h / (m_c) _ (1 - cosθ)

h / (m_c) = Compton wavelength = 2.42 x 10^-12 m

θ = 90°, cos90° = 0

Δλ = 2.42 x 10^-12 _ (1 - 0)

Δλ = 2.42 x 10^-12 m

Last verified on 26-10-2026

Explanation

In circular motion, the force (tension) is towards the center, and r is also along same line.

Angle between r and F is 180 degrees.

sin(180) = 0

So Torque = 0

Last verified on 26-10-2026

Explanation

• Frequency is the number of occurrences of a repeating event per unit of time.
• The SI unit of frequency is the hertz (Hz).
• 1 Hz = 1 cycle or vibration per second
• Unit: Hz = s⁻¹ (per second)
• Named after physicist Heinrich Hertz
• Used for waves, oscillations, sound, and electromagnetic radiation
• Derivations from other quantities: f = 1 / T
• Dimension T^−1

Explanation

When springs are attached end to end, it is series combination.

Formula for series: 1/k_eq = 1/k1 + 1/k2

k1 = k, k2 = k

1/k_eq = 1/k + 1/k = 2/k

k_eq = k/2

Last verified on 25-10-2026

Explanation

Formula: v^2 = u^2 + 2as

u = 12 m/s

v = 24 m/s

s = 180 m

24^2 = 12^2 + 2 x a x 180

576 = 144 + 360a

576 - 144 = 360a

432 = 360a

a = 432 / 360

a = 1.20 m/s²

Last verified on 25-10-2026

Explanation

When an electron loses all its kinetic energy in a single collision, the maximum possible energy is transferred to one X-ray photon.

The maximum photon energy produces the maximum frequency (f_max).

Frequency and wavelength are inversely proportional, according to c=fλ.

Therefore, maximum frequency corresponds to minimum wavelength (λ_min).

Last verified on 25-10-2026

Explanation

• When a charged particle moves perpendicular to a uniform magnetic field, the magnetic force acts toward the center of its circular path.
• This magnetic force provides the centripetal force required for circular motion.
• The magnetic force is given by F=qvB when the particle moves perpendicular to the field.

Last verified on 25-10-2026

Explanation

• During one complete oscillation, the pendulum returns to its initial position, so its net change in potential energy is zero.
• The work done by the restoring force over a complete cycle is zero.
• Because the energy gained during one part of the motion is balanced by the energy lost during the other part.
• At the extreme positions, the pendulum has maximum potential energy and zero kinetic energy.
• At the mean position, its kinetic energy is maximum and potential energy is minimum.

Last verified on 25-10-2026

Explanation

Formula: v^2 = u^2 + 2gh

u = 0 (dropped)

v = 14 m/s

g = 9.8 m/s^2

14^2 = 0 + 2 x 9.8 x h fallen

196 = 19.6 x h fallen

h fallen = 10m

Height from ground = Total height - Fallen height

Height from ground = 25 - 10 = 15m

Last verified on 25-10-2026

Explanation

• Threshold frequency is the minimum frequency of light required to eject electrons from a metal surface.
• Aluminum has a higher threshold frequency than sodium because its line begins at a higher frequency.
• The slope of the kinetic energy versus frequency graph is the same for both metals because it represents Planck’s constant.

Last verified on 25-10-2026