Statement 1: The energy of charged particle moving in a uniform magnetic field does not change.

Statement 2: Work done by magnetic field on the charge is zero.

The force on a charged particle moving in a uniform magnetic field always acts in direction perpendicular to the direction of motion of the charge. As work done by magnetic field on the charge is zero, $\left[\mathrm{W}=\mathrm{FS}\cos \mathrm{\theta }\right],$ so the energy of the charged particle does not change.