A-Level Physics: Mechanics and Waves Practice

A ball is projected horizontally at 15 m/s from a cliff 45 m high. How far from the base of the cliff does it land? (g = 9.8 m/s²)

A satellite orbits Earth at a height of 400 km above the surface. Given the radius of Earth is 6370 km and g = 9.81 m/s² at the surface, find the orbital speed. (Earth mass = 5.97 × 10²⁴ kg)

A mass of 0.5 kg on a spring oscillates with SHM. The amplitude is 0.08 m and the period is 0.6 s. Find the maximum velocity.

A wave has a frequency of 500 Hz and a wavelength of 0.6 m. Calculate the wave speed.

In Young's double slit experiment, light of wavelength 600 nm is used. The slit separation is 0.5 mm and the screen is 1.5 m away. Find the fringe spacing.

Light of wavelength 590 nm is incident on a diffraction grating with 400 lines per mm. Find the angle of the second-order maximum.

Light travels from glass (refractive index 1.5) to air. Find the critical angle for total internal reflection.

An object is placed 30 cm from a converging lens of focal length 10 cm. Find the magnification.

A ray of light is incident on a glass-air boundary at an angle of 55° to the normal. If the refractive index of glass is 1.52, what is the angle of refraction?

Light of wavelength 450 nm is incident on a metal surface with a work function of 2.3 eV. Find the maximum kinetic energy of the emitted photoelectrons. (h = 6.63 × 10⁻³⁴ Js, e = 1.6 × 10⁻¹⁹ C, c = 3 × 10⁸ m/s)

An electron has a de Broglie wavelength of 1.0 × 10⁻¹⁰ m. Find its momentum. (h = 6.63 × 10⁻³⁴ Js, mₑ = 9.11 × 10⁻³¹ kg)

A hydrogen atom transitions from n = 3 to n = 1. Calculate the wavelength of the emitted photon. (Use energy levels E_n = -13.6/n² eV)

A gas in a sealed container of fixed volume is heated so its temperature increases from 300 K to 450 K. If the initial pressure was 100 kPa, what is the final pressure?

2.5 kg of water is heated from 20°C to 100°C. The specific heat capacity of water is 4200 J/(kg K). How much energy is required?

Calculate the r.m.s. speed of helium atoms at 300 K. (M_He = 4 × 10⁻³ kg/mol, R = 8.31 J/(mol K))