A tunnel diode oscillator based system is used to measure the London penetration depth of unconventional superconductors. With noise levels less than 4 parts in 10 9 , highresolution measurements of penetration depth can be made. Sample temperatures as low as 350 mK can be achieved using our helium-3 cryostat based setup. Information about the superfluid density and the superconducting order parameter, including the symmetry of the superconducting gap can be obtained from this data.In this thesis, I present penetration depth data on single crystals of PdTe 2 , FeS, pure and doped CeCoIn 5 , and MoTe 2 intercalated with ionic liquid. For the topological superconductor candidate PdTe 2 , we find that the bulk is fully gapped with an isotropic s-wave like gap with moderate coupling. For FeS, our data indicates multi-gap superconductivity with the superfluid density preferring a s + d gap model. The heavy fermion superconductor CeCoIn 5 exhibit power-law behaviour with exponent n = 1.5 at low temperatures, which is indicative of a d-wave gap with line nodes as expected. Doping with Sn or Cd supresses superconductivity and the power law behaviour changes to n > 2. This, along with the superfluid density suggest an evolution of superconducting gap upon doping. Our measurements on ionic liquid intercalated MoTe 2 , which is a organic-inorganic hybrid superconductor, show power-law dependance hinting the presence of line nodes in the order parameter. A dirty d-wave model fits the data well at low temperatures.