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In-s [12.5K]
1 year ago
14

How long will it take a sample of Polonium- 194 to decay to 1/16 of its original amount the half -life of 0.7 seconds

Physics
1 answer:
KengaRu [80]1 year ago
7 0

The time it takes the Polonium-194 to decay to 1/16 of its original amount  is 2.8 seconds.

<h3>What is half-life?</h3>

half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay

To calculate the time it takes the sample of Polonium-196 to decay to 1/16 of its original amount, we use the formula below

Formula:

  • 2^{n/t} = R/R'......... Equation 1

Where:

  • n = Total number of time it takes Polonium-194 to decay to 1/16 of its original amount
  • t = Half-life of Polonium-194
  • R = Original amount of Polonium-194
  • R' = Amount of Polonium-194 after decay

From the question,

Given:

  • R = 1
  • R = 1/16
  • t = 0.7

Substitute these values into equation 1 and solve for n

  • 2^{n/0.7}= 1/(1/16)
  • 2^{n/0.7} = 16
  • 2^{n/0.7} = 2⁴

Equating the base,

  • n/0.7 = 4
  • n = 0.7×4
  • n = 2.8 seconds.

Hence, the time it takes the Polonium-194 to decay is 2.8 seconds.

Learn more about half-life here: brainly.com/question/25750315

#SPJ1

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Calculation:

Step-1:

It is given that the vents range in depth from about 1500 m to 3200 m below the surface. If we are assuming that the density of water does not vary. Then it is required to calculate the gauge pressure at a 2452-m deep vent.

The gauge pressure at a particular depth of ocean water is calculated as:

$$P=\rho g h$$

Here \rho is the density of water, P is the required pressure, h is the depth of water, and g is the gravitational acceleration.

Step-2:

Now we are substituting the values to calculate the pressure at the depth of 2452-m.

$$\\\begin{aligned}\\P&=\rho gh\\&=1030 (\text{ kg/m}^3)\times 9.8 (\text{ m/s}^2)\times 2452 \text{ m}\\&=24.75\times 10^6 \text{ Pa}\times\frac{1 \text{ atm}}{10.1325 \times10^4 \text{ Pa}}\\&=224.268 \text{ atm}\\\end{aligned}\\$$

Learn more about gauge pressure here,

brainly.com/question/14012416

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5 0
2 years ago
What is the frequency of an electromagnetic wave that has a wavelength of 300,000 km? (the speed of light is 300,000 km/s.)?
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