Question

1. calculate: redshift (z) is calculated by dividing the wavelength of the observed absorption line (λ_obs) by the wavelength of the equivalent reference line (λ_ref), and subtracting 1. (if the redshift is negative, the light is blueshifted.)

z = \frac{\lambda_{obs}}{\lambda_{ref}} - 1
what is the redshift of star c-197? \boxed{\quad}
check your answer by turning on the redshift calculator.

1. record: repeat the procedure to measure the redshift of each star. record your answers in the data table below.

Explanation:

To calculate the redshift \( z \) of star C - 197, we need the values of \( \lambda_{\text{obs}} \) (wavelength of the observed absorption line) and \( \lambda_{\text{ref}} \) (wavelength of the equivalent reference line). Since these values are not provided in the given problem, we cannot perform the calculation.

If we assume that we have the values of \( \lambda_{\text{obs}} \) and \( \lambda_{\text{ref}} \), the steps would be:

Step 1: Identify \( \lambda_{\text{obs}} \) and \( \lambda_{\text{ref}} \)

Let's say \( \lambda_{\text{obs}} = a \) (the measured observed wavelength) and \( \lambda_{\text{ref}}=b \) (the known reference wavelength).

Step 2: Apply the redshift formula

Use the formula \( z=\frac{\lambda_{\text{obs}}}{\lambda_{\text{ref}}}- 1\), substitute \( \lambda_{\text{obs}} = a \) and \( \lambda_{\text{ref}}=b \) into the formula:
\( z=\frac{a}{b}-1\)

For example, if \( \lambda_{\text{obs}} = 656.3\space nm \) and \( \lambda_{\text{ref}} = 656.0\space nm \) (typical values for hydrogen - alpha line), then:

Step 1: Substitute values

\( \lambda_{\text{obs}}=656.3\), \( \lambda_{\text{ref}} = 656.0\)

Step 2: Calculate the ratio and subtract 1

\( z=\frac{656.3}{656.0}-1=\frac{656.3 - 656.0}{656.0}=\frac{0.3}{656.0}\approx0.000457\)

Since the problem does not provide the values of \( \lambda_{\text{obs}} \) and \( \lambda_{\text{ref}} \) for star C - 197, we cannot give a numerical answer. To find the redshift, you need to obtain the values of the observed wavelength and the reference wavelength for the absorption line of star C - 197 and then use the formula \( z=\frac{\lambda_{\text{obs}}}{\lambda_{\text{ref}}}-1\) to calculate it.

Answer:

To calculate the redshift \( z \) of star C - 197, we need the values of \( \lambda_{\text{obs}} \) (wavelength of the observed absorption line) and \( \lambda_{\text{ref}} \) (wavelength of the equivalent reference line). Since these values are not provided in the given problem, we cannot perform the calculation.

If we assume that we have the values of \( \lambda_{\text{obs}} \) and \( \lambda_{\text{ref}} \), the steps would be:

Step 1: Identify \( \lambda_{\text{obs}} \) and \( \lambda_{\text{ref}} \)

Let's say \( \lambda_{\text{obs}} = a \) (the measured observed wavelength) and \( \lambda_{\text{ref}}=b \) (the known reference wavelength).

Step 2: Apply the redshift formula

Use the formula \( z=\frac{\lambda_{\text{obs}}}{\lambda_{\text{ref}}}- 1\), substitute \( \lambda_{\text{obs}} = a \) and \( \lambda_{\text{ref}}=b \) into the formula:
\( z=\frac{a}{b}-1\)

For example, if \( \lambda_{\text{obs}} = 656.3\space nm \) and \( \lambda_{\text{ref}} = 656.0\space nm \) (typical values for hydrogen - alpha line), then:

Step 1: Substitute values

\( \lambda_{\text{obs}}=656.3\), \( \lambda_{\text{ref}} = 656.0\)

Step 2: Calculate the ratio and subtract 1

\( z=\frac{656.3}{656.0}-1=\frac{656.3 - 656.0}{656.0}=\frac{0.3}{656.0}\approx0.000457\)

Since the problem does not provide the values of \( \lambda_{\text{obs}} \) and \( \lambda_{\text{ref}} \) for star C - 197, we cannot give a numerical answer. To find the redshift, you need to obtain the values of the observed wavelength and the reference wavelength for the absorption line of star C - 197 and then use the formula \( z=\frac{\lambda_{\text{obs}}}{\lambda_{\text{ref}}}-1\) to calculate it.