Final answer:
The refractive index of the liquid is greater than 1.47. The correct answer among the given options is 1.51.
Step-by-step explanation:
The refractive index of the liquid can be determined by considering the phenomenon of total internal reflection.
When a biconvex lens of glass with refractive index 1.47 is immersed in a liquid, it becomes invisible and behaves as a plane glass plate. This indicates that the refractive index of the liquid must be greater than 1.47, as the light rays do not undergo refraction at the boundary between the lens and the liquid.
Hence, the refractive index of the liquid is greater than 1.47. Among the given options, the correct answer would be option (d) 1.51, as it is the only value greater than 1.47.