Advanced practice questions covering all A-Level Physics topics. Each question includes detailed step-by-step solutions.
A 0.5 kg object undergoes uniform acceleration from 2 m/s to 8 m/s over 3 seconds.
Calculate the resultant force acting on the object.
a = (v - u) / t = (8 - 2) / 3 = 2 m/s²F = maF = 0.5 × 2 = 1 NCalculate the energy of a photon with wavelength 500 nm.
h = 6.63 × 10⁻³⁴ J s, c = 3 × 10⁸ m/s
500 nm = 500 × 10⁻⁹ m = 5 × 10⁻⁷ mE = hf = hc/λE = (6.63 × 10⁻³⁴ × 3 × 10⁸) / (5 × 10⁻⁷)E = 3.98 × 10⁻¹⁹ JTwo waves meet with amplitudes 4 cm and 3 cm in phase.
Calculate the resultant amplitude.
A_resultant = 4 + 3 = 7 cmA 2 kg mass rotates in a horizontal circle of radius 0.5 m at 4 rad/s.
Calculate the centripetal force.
F = mrω²F = 2 × 0.5 × 4² = 2 × 0.5 × 16 = 16 NCalculate the electric field strength at a distance of 2 cm from a +5 μC charge.
ε₀ = 8.85 × 10⁻¹² F/m
r = 0.02 m, Q = 5 × 10⁻⁶ CE = Q / (4πε₀r²)E = kQ/r² where k = 9 × 10⁹ N m²/C²E = (9 × 10⁹ × 5 × 10⁻⁶) / (0.02)²E = 45000 / 0.0004 = 1.125 × 10⁸ N/CThe work function of a metal is 3.2 × 10⁻¹⁹ J.
Calculate the threshold frequency. (h = 6.63 × 10⁻³⁴ J s)
E = φ = hf₀f₀ = φ / hf₀ = (3.2 × 10⁻¹⁹) / (6.63 × 10⁻³⁴)f₀ = 4.83 × 10¹⁴ HzIn Young's double slit experiment, slits are 0.5 mm apart, screen is 2 m away.
Light of wavelength 600 nm is used. Calculate the fringe separation.
d = 0.5 × 10⁻³ m, D = 2 m, λ = 600 × 10⁻⁹ mw = λD / dw = (600 × 10⁻⁹ × 2) / (0.5 × 10⁻³)w = (1.2 × 10⁻⁶) / (5 × 10⁻⁴) = 2.4 × 10⁻³ m = 2.4 mmA 3 kg object moving at 8 m/s collides with a 2 kg stationary object.
After collision, they move together. Calculate their combined velocity.
m₁u₁ + m₂u₂ = (m₁ + m₂)v3 × 8 + 2 × 0 = (3 + 2)v24 = 5vv = 4.8 m/sA wire carries 5 A current in a 0.2 T magnetic field.
Calculate the force per metre on the wire (perpendicular to field).
F = BILF/L = BIF/L = 0.2 × 5 = 1 N/mCalculate the de Broglie wavelength of an electron moving at 2 × 10⁶ m/s.
h = 6.63 × 10⁻³⁴ J s, m_e = 9.11 × 10⁻³¹ kg
λ = h / p = h / (mv)λ = (6.63 × 10⁻³⁴) / (9.11 × 10⁻³¹ × 2 × 10⁶)λ = (6.63 × 10⁻³⁴) / (1.822 × 10⁻²⁴)λ = 3.64 × 10⁻¹⁰ m