To determine which organs appeared for the first time in amphibians, we need to analyze each option provided in the question.
### Step-by-Step Solution:
1. **Understanding Amphibians**:
- Amphibians are the earliest group of tetrapods, which means they have adaptations for both aquatic and terrestrial life. They have developed several unique structures that facilitate this dual lifestyle.
2. **Analyzing Each Option**:
- **Option (a)**: Syrinx, urinary bladder, and cloaca.
- **Syrinx**: This is the vocal organ found in birds, not amphibians.
- **Urinary Bladder**: Present in amphibians but not the first to appear.
- **Cloaca**: Present in amphibians but also found in other vertebrates.
- **Conclusion**: This option is incorrect.
- **Option (b)**: Tympanum, sternum, and lacrimal glands.
- **Tympanum**: This is an important auditory structure that first appears in amphibians.
- **Sternum**: A crucial part of the ribcage that supports the body, also first appears in amphibians.
- **Lacrimal Glands**: These tear glands are exocrine glands that first appear in amphibians.
- **Conclusion**: This option is correct as all three structures are first found in amphibians.
- **Option (c)**: Harderian gland, sebaceous glands, and lacrimal glands.
- **Harderian Gland**: This gland appears in amphibians.
- **Sebaceous Glands**: These do not first appear in amphibians; they are found in other vertebrates.
- **Lacrimal Glands**: As mentioned, these do appear in amphibians.
- **Conclusion**: This option is incorrect due to the presence of sebaceous glands.
- **Option (d)**: Furcula, four-chambered heart, and palate.
- **Furcula**: This is a structure found in birds, not amphibians.
- **Four-chambered heart**: This is a characteristic of birds and mammals, not amphibians.
- **Palate**: While amphibians have a palate, it is not unique to them as it appears in other vertebrates.
- **Conclusion**: This option is incorrect.
3. **Final Answer**: The correct option is **(b) Tympanum, sternum, and lacrimal glands**, as these organs appeared for the first time in amphibians.