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Oxana [17]
3 years ago
13

A sample of radium-226 will decay to ¼ of its original amount after 3200 years. What is the half-life of radium-226?

Physics
1 answer:
lesantik [10]3 years ago
3 0
<h3><u>Answer</u>;</h3>

1600 years

<h3><u>Explanation</u>;</h3>
  • Half life is the time taken for a radioactive isotope to decay by half of its original amount.
  • We can use the formula; N = O × (1/2)^n ; where N is the new mass, O is the original amount and n is the number of half lives.
  • A sample of radium-226 takes 3200 years to decay to 1/4 of its original amount.

Therefore;

<em>1/4 = 1 × (1/2)^n</em>

<em>1/4 = (1/2)^n </em>

<em>n = 2 </em>

Thus; <em>3200 years is equivalent to 2 half lives.</em>

<em>Hence, the half life of radium-226 is 1600 years</em>

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A 42.0-cm diameter disk rotates with a constant angular acceleration of 2.70 rad/s2. It starts from rest at t = 0, and a line dr
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Answer:

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Explanation:

\omega_f = Final angular velocity

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\omega_f=\omega_i+\alpha t\\\Rightarrow \omega_f=0+2.7\times 2.3\\\Rightarrow \omega_f=6.21\ rad/s

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Linear velocity is given by

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Linear velocity is 1.3041 m/s

Tangential acceleration is given by

a_t=r\alpha\\\Rightarrow a_t=0.21\times 2.7\\\Rightarrow a_t=0.567\ m/s^2

Tangential acceleration is 0.567 m/s²

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In degress the angle would be

57.3+7.1415\times \dfrac{180}{\pi}=466.47780\ ^{\circ}

From x axis it would be

466.47780-360=106.4778\ ^{\circ}

The angle is 106.4778\ ^{\circ} from x axis

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