I need help with number 2 6:45 9Untitled document (75).pdfHonors Physics: Test 2, March15,22Directions: Show your work by including tables, mathematical formulas, and necessary units.1. If the "N" number of atoms of a radioactive substance had decayed to 25 atoms in fivehalf-lives, what was the original number of atoms in the substance?2. If a sample known to be about 17190 years old has 400 carbon-14 atoms, how manyatoms were in the sample when the organism died? Half-life of C-14 is 5730 years.3. If we start with 64 grams of a radioactive substance, what percent will remain after fourhalf-lives?4. How old is a bone if it presently contains 0.125 gm of C-14, but it was estimated to haveoriginally contained 160 gm of C-14.? The half-life of C-14 is 5730 years.5. What is the half-life of a radioactive isotope if a 600 gm sample decays to 48 grams in 27hours?6. The formula of converting temperature from Celsius to Fahrenheit is:" = 1.8x c° + 32. and the formula for converting Celsius to Kelvin scale is:K=+ 273.(a) Convert these Fahrenheit scales to Celsius scales: 70"F, 180°F, and 18°F(b) Convert these Celsius scales to Kelvin scales: 20°C; 100°C; 160°c(c) Convert this Fahrenheit scale to Kelvin scale: 140"F.7. The temperature of a substance changes from 300°F to 400°F. What is the equivalentchange in Kelvin scale?8. A student measures the mass of a 12 cm - block of brown sugar is 15 gmWhat is the density of the brown sugar?9. A machine shop worker records the mass of an aluminum cube as 170 gm. If one side ofthe cube measures 6 cm, what is the density of the aluminum?10. A substance has a volume of1 cubic meter and density of 3kg/m'. What would be itsmass in grams. (Hint convert kg to gram and meter to centimeter and then use thedensity formula, which is: Density= Mass/Volume(1m =100 cm;1 kg -1000 gm)11. The dimensions of a block are 12cm, 6cm, and "X" cm. Assuming the block has a massof 12 kg and its density is 4 kg/m'. What is the value of "X" in meters? (Hint: Changecentimeters to meters and then use the density formula, which is: Density-Mass/Volume12. An oscillator makes four vibrations in one second, what is its frequency and period?

Question

I need help with number 2 6:45 9Untitled document (75).pdfHonors Physics: Test 2, March15,22Directions: Show your work by including tables, mathematical formulas, and necessary units.1. If the &#34;N&#34; number of atoms of a radioactive substance had decayed to 25 atoms in fivehalf-lives, what was the original number of atoms in the substance?2. If a sample known to be about 17190 years old has 400 carbon-14 atoms, how manyatoms were in the sample when the organism died? Half-life of C-14 is 5730 years.3. If we start with 64 grams of a radioactive substance, what percent will remain after fourhalf-lives?4. How old is a bone if it presently contains 0.125 gm of C-14, but it was estimated to haveoriginally contained 160 gm of C-14.? The half-life of C-14 is 5730 years.5. What is the half-life of a radioactive isotope if a 600 gm sample decays to 48 grams in 27hours?6. The formula of converting temperature from Celsius to Fahrenheit is:&#34; = 1.8x c° + 32. and the formula for converting Celsius to Kelvin scale is:K=+ 273.(a) Convert these Fahrenheit scales to Celsius scales: 70&#34;F, 180°F, and 18°F(b) Convert these Celsius scales to Kelvin scales: 20°C; 100°C; 160°c(c) Convert this Fahrenheit scale to Kelvin scale: 140&#34;F.7. The temperature of a substance changes from 300°F to 400°F. What is the equivalentchange in Kelvin scale?8. A student measures the mass of a 12 cm - block of brown sugar is 15 gmWhat is the density of the brown sugar?9. A machine shop worker records the mass of an aluminum cube as 170 gm. If one side ofthe cube measures 6 cm, what is the density of the aluminum?10. A substance has a volume of1 cubic meter and density of 3kg/m'. What would be itsmass in grams. (Hint convert kg to gram and meter to centimeter and then use thedensity formula, which is: Density= Mass/Volume(1m =100 cm;1 kg -1000 gm)11. The dimensions of a block are 12cm, 6cm, and &#34;X&#34; cm. Assuming the block has a massof 12 kg and its density is 4 kg/m'. What is the value of &#34;X&#34; in meters? (Hint: Changecentimeters to meters and then use the density formula, which is: Density-Mass/Volume12. An oscillator makes four vibrations in one second, what is its frequency and period?

Accepted Answer

When organism died absorption of C-14 stops and starts diminishing. The radioactive decay follows…

2. If a sample known to be about 17190 years old has 400 carbon-14 atoms, how many atoms were in the sample when the organism died? Half-life of C-14 is 5730 years.