Question

question 8

1. the accepted value for ( r_h ) is ( 1.0974 \times 10^7 , \text{m}^{-1} ).

determine the % error using the formula:
( % , \text{error} = \frac{|\text{your answer} - \text{accepted answer}|}{\text{accepted answer}} cdot 100 )
%error= (square) %

Explanation:

Step1: Identify the missing value

To calculate the percentage error, we need the "your answer" (the experimental or calculated value of \( R_H \)). Since it's not provided in the question, we can't proceed with the calculation. However, if we assume a hypothetical "your answer" (let's say \( 1.10\times10^{7}\, \text{m}^{-1} \) for demonstration), we can show the steps:

Step2: Substitute into the formula

Let "your answer" \( = 1.10\times10^{7}\, \text{m}^{-1} \) and accepted answer \( = 1.0974\times10^{7}\, \text{m}^{-1} \).

First, calculate the absolute difference: \( |1.10\times10^{7}- 1.0974\times10^{7}|=|0.0026\times10^{7}| = 2.6\times10^{5} \)

Then, divide by the accepted answer: \( \frac{2.6\times10^{5}}{1.0974\times10^{7}} \approx 0.0237 \)

Multiply by 100 to get percentage: \( 0.0237\times 100 = 2.37\% \) (approximate, based on the hypothetical value)

But since the actual "your answer" is not given, we need that value to compute the exact percentage error.

Note:

To find the actual percentage error, you must provide the value of \( R_H \) (your answer) that you obtained from your experiment or calculation. Then follow the steps:

1. Calculate the absolute difference between your answer and the accepted answer (\( 1.0974\times10^{7}\, \text{m}^{-1} \)).
2. Divide that absolute difference by the accepted answer.
3. Multiply the result by 100 to get the percentage error.

For example, if your answer is \( x \), then:

\( \% \text{Error} = \frac{|x - 1.0974\times10^{7}|}{1.0974\times10^{7}}\times 100 \)

Please provide the value of \( x \) (your answer for \( R_H \)) to get the numerical value of the percentage error.

Answer:

Step1: Identify the missing value

To calculate the percentage error, we need the "your answer" (the experimental or calculated value of \( R_H \)). Since it's not provided in the question, we can't proceed with the calculation. However, if we assume a hypothetical "your answer" (let's say \( 1.10\times10^{7}\, \text{m}^{-1} \) for demonstration), we can show the steps:

Step2: Substitute into the formula

Let "your answer" \( = 1.10\times10^{7}\, \text{m}^{-1} \) and accepted answer \( = 1.0974\times10^{7}\, \text{m}^{-1} \).

First, calculate the absolute difference: \( |1.10\times10^{7}- 1.0974\times10^{7}|=|0.0026\times10^{7}| = 2.6\times10^{5} \)

Then, divide by the accepted answer: \( \frac{2.6\times10^{5}}{1.0974\times10^{7}} \approx 0.0237 \)

Multiply by 100 to get percentage: \( 0.0237\times 100 = 2.37\% \) (approximate, based on the hypothetical value)

But since the actual "your answer" is not given, we need that value to compute the exact percentage error.

Note:

To find the actual percentage error, you must provide the value of \( R_H \) (your answer) that you obtained from your experiment or calculation. Then follow the steps:

1. Calculate the absolute difference between your answer and the accepted answer (\( 1.0974\times10^{7}\, \text{m}^{-1} \)).
2. Divide that absolute difference by the accepted answer.
3. Multiply the result by 100 to get the percentage error.

For example, if your answer is \( x \), then:

\( \% \text{Error} = \frac{|x - 1.0974\times10^{7}|}{1.0974\times10^{7}}\times 100 \)

Please provide the value of \( x \) (your answer for \( R_H \)) to get the numerical value of the percentage error.