There are three optical media 1,2 and 3 with the refractive indices `mu_(1) gt mu_(2) gt mu_(3)`.
(TIR `rarr` total internal reflection)

Options

A. when a ray of light travels from 3 to 1 no TIR will place
B. critical angle between 1 and 2 is less than the critical angle between 1 and 3
C. critical angle between 1 and 2 is more than the critical angle between 1 and 3
D. chances of TIR are move when ray of light travels from 1 to 3 as compared to the case when it travel from 1 to 2

Answer

To solve the question regarding total internal reflection (TIR) in three optical media with different refractive indices, we will analyze the conditions for TIR and the critical angles between the media.

### Step-by-Step Solution:

1. **Understanding Refractive Indices**:
Given three media with refractive indices \( \mu_1 > \mu_2 > \mu_3 \), we know that medium 1 is the densest and medium 3 is the rarest.

2. **Conditions for Total Internal Reflection (TIR)**:
- TIR occurs when light travels from a denser medium to a rarer medium.
- The angle of incidence must be greater than the critical angle \( \theta_c \) for TIR to occur.

3. **Critical Angle Calculation**:
The critical angle \( \theta_c \) between two media can be calculated using the formula:
\[ \sin(\theta_c) = \frac{n_2}{n_1} \]
where \( n_1 \) is the refractive index of the denser medium and \( n_2 \) is that of the rarer medium.

4. **Analyzing Each Option**:

**Option A**: "When a ray of light travels from 3 to 1, no TIR will take place."
- Since light is moving from a rarer medium (3) to a denser medium (1), TIR cannot occur. This statement is **true**.

**Option B**: "The critical angle between 1 and 2 is less than the critical angle between 1 and 3."
- The critical angle between 1 and 2 (\( \theta_{c1,2} \)) will be greater than that between 1 and 3 (\( \theta_{c1,3} \)) because \( \mu_2 < \mu_3 \). Hence, this statement is **false**.

**Option C**: "The critical angle between 1 and 2 is more than the critical angle between 1 and 3."
- This is the reverse of option B. Since \( \mu_1 > \mu_2 > \mu_3 \), it follows that \( \theta_{c1,2} > \theta_{c1,3} \). This statement is **true**.

**Option D**: "Chances of TIR are more when a ray of light travels from 1 to 3 as compared to when it travels from 1 to 2."
- Since the critical angle for 1 to 3 is smaller than that for 1 to 2, the chances of TIR are indeed higher when light travels from 1 to 3. This statement is **true**.

5. **Final Conclusion**:
The true statements are A, C, and D.

### Summary of Answers:
- **True Statements**: A, C, D
- **False Statement**: B