1. If the particles of a medium move along the direction of motion of the wave, the wave is called a longitudinal wave.
2. If the particles of a medium move perpendicular to the direction of motion of the wave, the wave is called a transverse wave.
3. Transverse waves may involve change in the shape of the medium, whereas longitudinal waves involve change in the density of the medium.
Which of the statements given above is/are correct ?
This question asks to identify the correct statements about wave properties, specifically longitudinal and transverse waves.
All three statements accurately describe the properties and definitions of longitudinal and transverse waves.
Thus, all statements (1, 2, and 3) are correct.
Which of the following is related to Doppler effect?
The position of a particle in one dimension changes in discrete steps. With each step it moves to the right, however, the length of the step is drawn from a uniform distribution from the interval \(\left[ {{\rm{λ }}\,{\rm{ - }}\,\frac{{\rm{1}}}{{\rm{2}}}{\rm{w,}}\,{\rm{λ }}\,{\rm{ + }}\,\frac{{\rm{1}}}{{\rm{2}}}{\rm{w}}} \right] \) , where λ and w are positive constants. If X denotes the distance from the starting point after N steps, the standard deviation \(\sqrt {\left\langle {{X^2}} \right\rangle \, - {{\left\langle X \right\rangle }^2}} \) for large values of N is
A particle of mass m in one dimension is in the ground state of a simple harmonic oscillator described by a Hamiltonian \(\frac{{{{\rm{P}}^{\rm{2}}}}}{{{\rm{2m}}}}{\rm{ + }}\frac{{\rm{1}}}{{\rm{2}}}{\rm{m}}{{\rm{\omega }}^{\rm{2}}}{{\rm{x}}^{\rm{2}}} \) in the standard notation. An impulsive force at time t = 0 suddenly imparts a momentum P0 = \(\sqrt {{\rm{hm\omega }}} \) to it. The probability that the particle remains in the original ground state is
In an elastic scattering process at an energy E, the phase shifts satisfy δ 0 ≈ 30°, δ 1≈ 10°, while the other phase shifts are zero. The polar angle at which the differential cross-section peaks is closest to