All but one of the following statements about the eigenfunctions is true: Eigenf

Question

All but one of the following statements about the eigenfunctions is true: Eigenfunctions belonging to different eigenvalues are orthogonal * No two eigenfunctions can have the same eigenvalue An eigenfunction is normalized if integral psi_1 * psi_1 d_t = 1 A constant multiplied by an eigenfunction is still an eigenfunction All the eigenfunctions must be single-valued, finite, and continuous The time-independent Schrödinger equation, H Psi = E psi, is equivalent to According to the Rayleigh - Jeans Law, the energy distribution function, U (lambda), for black-body radiation from a system temperature, T, is U (lambda) = 8 pi k T/lambda^4 where X is the wavelength of the radiation. This expression is Correct for all wavelengths A poor approximation at long wavelengths A very poor approximation at wavelengths near zero A good approximation at short wavelengths Two wave functions, psi_1 and psi_2 are orthogonal if

Explanation / Answer

7a. B No two eigenfunctions can have same eigen values.

7b. B

7c. B

a poor approximation at long wave length

7d. a

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