Introduction:
The vernier scale is a secondary scale that is used to increase the precision of an instrument. It consists of a series of smaller divisions that can be aligned with the main scale divisions to provide more accurate measurements.

Given Information:
- The vernier scale is divided into 30 divisions.
- These divisions coincide with 29 main scale divisions.
- Each main scale division is equal to (1/2).

Calculating the Least Count:
The least count of an instrument is the smallest measurement that can be made accurately with it. To calculate the least count of the instrument in minutes, we need to determine the difference between one main scale division and one vernier scale division.

Step 1: Determine the Difference in Length:
First, we need to find the difference in length between one main scale division and one vernier scale division. Since the vernier scale has 30 divisions and coincides with 29 main scale divisions, we can calculate the difference as follows:

Difference = Length of 29 main scale divisions - Length of 30 vernier scale divisions

Since each main scale division is equal to (1/2), the length of 29 main scale divisions is 29 * (1/2) = 14.5.

Since the vernier scale has 30 divisions, each division is 1/30 of the length of the main scale division. Therefore, the length of 30 vernier scale divisions is 30 * (1/30) = 1.

Difference = 14.5 - 1 = 13.5

Step 2: Convert the Difference to Minutes:
To convert the difference in length to minutes, we need to know the scale of the instrument. Let's assume the scale is such that one division represents a certain number of minutes.

Since the difference is 13.5, the least count of the instrument in minutes would be 13.5 minutes.

Conclusion:
The least count of the instrument is 13.5 minutes. This means that the instrument can measure values with a precision of 13.5 minutes.