At one end of a steel bar of 1 kilometre length, a source of sound is placed and two sounds are heard at the other end at an interval of 2.74 seconds. Calculate the velocity of sound in steel if velocity of sound in air is 340 `ms^(-1)`.

Explanation

To solve the problem, we need to calculate the velocity of sound in steel based on the given information. Let's break down the steps:

### Step 1: Understand the Problem
We have a steel bar of length 1 km (1000 meters) and a sound source at one end. The sound travels through both air and steel, and the listener at the other end hears two sounds with an interval of 2.74 seconds.

### Step 2: Define Variables
- Let \( v_a \) be the velocity of sound in air = 340 m/s.
- Let \( v_s \) be the velocity of sound in steel (which we need to find).
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