Length of the String:
The length of the string is given as 'l'.

Transverse Waves:
Transverse waves are the waves in which the particles of the medium vibrate perpendicular to the direction of wave propagation.

Time taken by Transverse Wave to Travel from Bottom to Top:
To calculate the time taken by a transverse wave to travel from the bottom to the top of a string, we need to consider the speed of the wave and the length of the string.

Speed of the Wave:
The speed of a wave is given by the equation v = √(T/μ), where v is the speed, T is the tension in the string, and μ is the linear mass density of the string.

Linear Mass Density:
The linear mass density of the string is given by the equation μ = m/l, where μ is the linear mass density, m is the mass of the string, and l is the length of the string.

Tension in the String:
The tension in the string can be calculated by considering the weight of the string. Tension (T) = mg, where m is the mass of the string and g is the acceleration due to gravity.

Time Calculation:
Using the above equations, we can calculate the time taken by the transverse wave to travel from the bottom to the top of the string.

1. Calculate the linear mass density of the string using the given length and mass.
2. Calculate the tension in the string using the calculated mass and acceleration due to gravity.
3. Calculate the speed of the wave using the calculated tension and linear mass density.
4. Divide the length of the string by the calculated speed to get the time taken by the transverse wave to travel from the bottom to the top.

Conclusion:
The time taken by a transverse wave to travel from the bottom to the top of a string can be calculated by considering the speed of the wave, which depends on the tension and linear mass density of the string. By using the appropriate equations, we can calculate the time taken by the wave to travel the given length of the string.