What feature does vMotion provide in VMware vSphere?

vMotion is a critical feature in VMware vSphere that enables the live migration of virtual machines from one physical host to another without any downtime. This capability is essential for maintaining workload availability and allows administrators to perform maintenance on the physical hosts or balance workloads across the environment seamlessly. With vMotion, the virtual machine's state, including its memory and CPU state, is transferred over the network, ensuring that users experience no interruptions during the migration process.

The significance of this feature lies in its ability to enhance flexibility and resource management within a virtualized environment. It facilitates operational tasks such as load balancing and hardware maintenance, thus optimizing the performance of the overall infrastructure.

The other choices do not relate to the primary function of vMotion. Scheduled power on/off for VMs pertains to automation and scheduling functions rather than migration, while automatic backup of VMs focuses on data protection, and health checks are associated with monitoring the status and performance of VMs rather than migration capability.