I have installed fedora 13 in my laptop recently. But it seems fedora is not being able to detect sound card.

lspci command shows the following output:

00:00.0 Host bridge: Intel Corporation 3rd Gen Core processor DRAM Controller (rev 09)
00:02.0 VGA compatible controller: Intel Corporation 3rd Gen Core processor Graphics Controller (rev 09)
00:14.0 USB controller: Intel Corporation 7 Series/C210 Series Chipset Family USB xHCI Host Controller (rev 04)
00:16.0 Communication controller: Intel Corporation 7 Series/C210 Series Chipset Family MEI Controller #1 (rev 04)
00:1a.0 USB controller: Intel Corporation 7 Series/C210 Series Chipset Family USB Enhanced Host Controller #2 (rev 04)
00:1b.0 Audio device: Intel Corporation 7 Series/C210 Series Chipset Family High Definition Audio Controller (rev 04)
00:1c.0 PCI bridge: Intel Corporation 7 Series/C210 Series Chipset Family PCI Express Root Port 1 (rev c4)
00:1c.1 PCI bridge: Intel Corporation 7 Series/C210 Series Chipset Family PCI Express Root Port 2 (rev c4)
00:1c.3 PCI bridge: Intel Corporation 7 Series/C210 Series Chipset Family PCI Express Root Port 4 (rev c4)
00:1d.0 USB controller: Intel Corporation 7 Series/C210 Series Chipset Family USB Enhanced Host Controller #1 (rev 04)
00:1f.0 ISA bridge: Intel Corporation HM76 Express Chipset LPC Controller (rev 04)
00:1f.2 SATA controller: Intel Corporation 7 Series Chipset Family 6-port SATA Controller [AHCI mode] (rev 04)
00:1f.3 SMBus: Intel Corporation 7 Series/C210 Series Chipset Family SMBus Controller (rev 04)
02:00.0 Network controller: Broadcom Corporation BCM4313 802.11bgn Wireless Network Adapter (rev 01)
03:00.0 Ethernet controller: Qualcomm Atheros AR8162 Fast Ethernet (rev 10)

"lsmod | grep snd" shows the following output

snd_hda_intel 20311 0
snd_hda_codec 61515 1 snd_hda_intel
snd_hwdep 4704 1 snd_hda_codec
snd_seq 41363 0
snd_seq_device 4867 1 snd_seq
snd_pcm 59444 2 snd_hda_intel,snd_hda_codec
snd_timer 15063 2 snd_seq,snd_pcm
snd 45127 7 snd_hda_intel,snd_hda_codec,snd_hwdep,snd_seq,snd_seq_device,snd_pcm,snd_timer
soundcore 4842 1 snd
snd_page_alloc 5941 2 snd_hda_intel,snd_pcm

But in the sound control panel, no hardware device is listed.

If anyone can help...

Pointless even attempting to diagnose.
F13 is years out of support - install the current F20, and if the problem persists it will be worth looking at.