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SSSSS [86.1K]
3 years ago
5

The speed of all electromagnetic waves is 3. 00 × 108 meters per second. What is the wavelength of an X-ray with a frequency of

1. 18 × 1018 Hz? 2. 54 × 1026 meters 3. 93 × 109 meters 2. 54 × 10-10 meters 3. 93 × 10-11 meters.
Physics
1 answer:
SSSSS [86.1K]3 years ago
4 0
Fr yyy guy guy tyy tyy
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A sample of Bismuth-212 has a mass of 2.64 grams (g) after 121 seconds (s). What was the initial mass of the sample if Bismuth-2
uysha [10]
The mass of a radioactive element at time t is given by
m(t) = m_0 ( \frac{1}{2} )^{ \frac{t}{t_{1/2}} }
where m_0 is the mass at time zero, while t_{1/2} is the half-life of the element.

In our problem, m(t)=2.64 g, t=121.0 s and t_{1/2}=60.5 s, so we can find the initial mass m_0:
m_0= \frac{m(t)}{ (\frac{1}{2})^{t/t_{1/2}} } = \frac{2.64 g}{( \frac{1}{2} )^{121/60.5}} =4 \cdot 2.64 g=10.56 g
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3 years ago
A water pipe tapers down from an initial radius of R1 = 0.21 m to a final radius of R2 = 0.11 m. The water flows at a velocity v
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Answer:

0.116 m^3/s

Explanation:

The volume flow rate of a fluid in a pipe is given by:

Q=Av

where

A is the cross-sectional area of the pipe

v is the speed of the fluid

In this problem, at the initial point we have

v = 0.84 m/s is the speed of the water

r = 0.21 m is the radius of the pipe, so the cross-sectional area is

A=\pi r^2 = \pi (0.21 m)^2 =0.138 m^2

So, the volume flow rate is

Q=(0.138 m^2)(0.84 m/s)=0.116 m^3/s

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