Is there any problem in yea 2038? since now we are using 32 bit for time representation. is the problem is critical?Whats's the plan to handle it?

64-bit Linux stores the date as a signed 64-bit integer, eliminating the problem for a long time. All new processors are already capable of running 64-bit Linux (I've been running 64-bit Fedora for about 2 years).

Sometime in the next 30 years, you should plan to upgrade.

As macemoneta hints, presumably we will all be using 64 bit CPUs by 2038, so the problem is moot.
That said, there may be some 'legacy' hardware out there that will be affected. Hopefully not timeservers

The fact that people are writing about a potential problem that might create difficult over 30 years in the future is basically a guarantee that it will be solved. To use an analogy, were people concerned about the Y2K problem in 1969? I suppose that some people may have been, but realistically it wasn't until the mid- to late-90's that Y2K was a critical task, and the planet seemed to get through that potential crisis pretty well. In theory there might also be a Y10K problem, but it also is sufficiently far away in time that I wouldn't worry about it. 2 cents