Question

Three frames 𝐹0, 𝐹1 and 𝐹2 are in relative motion. The frame 𝐹0 is at rest, 𝐹1 is moving with velocity 𝑣1𝑖̂with respect to 𝐹0 and 𝐹2 is moving with velocity 𝑣2𝑖̂ with respect to 𝐹1. A particle is moving with velocity 𝑣3𝑖̂ with respect to 𝐹2. If 𝑣1 = 𝑣2 = 𝑣3= $\frac{𝑐}{2}$, where 𝑐 is the speed of light, the speed of the particle with respect to 𝐹0 is 𝑓𝑐. The value of 𝑓 is ____________ (rounded off to two decimal places)

Answer 1

The correct answer is: 0.90 to 0.96 (approx)