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The speed of light in air is 3xx10^(8)ms...

The speed of light in air is `3xx10^(8)ms^(-1)`. Calculate the speed of light in glass. The refractive index of glass is `1*5`.

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To calculate the speed of light in glass, we can use the relationship between the speed of light in different media and the refractive index. The refractive index (n) is defined as the ratio of the speed of light in a vacuum (or air, approximately) to the speed of light in the medium. ### Step-by-Step Solution: 1. **Identify the given values:** - Speed of light in air (c_air) = \(3 \times 10^8 \, \text{m/s}\) - Refractive index of glass (n_glass) = 1.5 2. **Use the formula for refractive index:** \[ n = \frac{c_{\text{air}}}{c_{\text{glass}}} \] Where: - \(n\) is the refractive index, - \(c_{\text{air}}\) is the speed of light in air, - \(c_{\text{glass}}\) is the speed of light in glass. 3. **Rearrange the formula to solve for the speed of light in glass:** \[ c_{\text{glass}} = \frac{c_{\text{air}}}{n} \] 4. **Substitute the known values into the equation:** \[ c_{\text{glass}} = \frac{3 \times 10^8 \, \text{m/s}}{1.5} \] 5. **Perform the division:** \[ c_{\text{glass}} = 2 \times 10^8 \, \text{m/s} \] 6. **State the final answer:** The speed of light in glass is \(2 \times 10^8 \, \text{m/s}\).
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