A particle is constrained to move around a circular ring of fixed circumference L. Only stationary states are allowed for which an integral number of de Broglie wavelengths fit around the ring, so L = nλ. The particle is initially in an allowed state with quantum number n. Its kinetic energy is then increased to four times its original value, and it again occupies an allowed stationary state. What is the new quantum number?

Physics · Photoelectric effect and dual nature of matter · debroglie duel nature of light

JEE MainsNEETJEE Advanced

A particle is constrained to move around a circular ring of fixed circumference L. Only stationary states are allowed for which an integral number of de Broglie wavelengths fit around the ring, so L = nλ. The particle is initially in an allowed state with quantum number n. Its kinetic energy is then increased to four times its original value, and it again occupies an allowed stationary state. What is the new quantum number?

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