Class XI Physics - Units & Measurements Worksheet Solutions Class XI Physics Chapter - 1: Units & Measurement Worksheet Solutions Q1. Calculate the length of the arc of a circle of radius 31 cm which subtends an angle of π/6 at the centre. Formula: The relation between angle (θ in radians), arc length (l), and radius (r) is given by: θ = l / r Given: Radius, r = 31 cm Angle, θ = π / 6 radians Solution: Rearranging the formula to find arc length: l = r ⋅ θ l = 31 cm × π / 6 Putting the approximate value of π ≈ 3.14: l ≈ 31 × 3.14 / 6 l ≈ 31 × 0.5233 l ≈ 16.22 cm Answer: The length of the arc is approximately 16.22 cm . Q2. Calculate the solid angle subtended by the periphery of an area of 1 cm 2 at a point situated symmetrically at a distance of 5 cm from the area. Formula: The solid angle (Ω) is defined as: Ω = A...