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Karo-lina-s [1.5K]
3 years ago
10

An EM wave has a wavelength A 500 nm and a peak electric field Eo 100 i. The wave propagates along the z axis. a) What is the ma

gnitude and direction of the magnetic field? b) What is the frequency f? c) What is the angular frequency w? d) What is the wavenmber k?
Physics
1 answer:
anzhelika [568]3 years ago
5 0

Answer:

(a) 3.33 x 10^-7 T along Y axis

(b) 6 x 10^14 Hz

(c) 3.768 x 10^15 rad/s

(d) 2 x 10^6 m^-1

Explanation:

Wavelength = 500 nm = 500 x 10^-9 m

Electric Field, E = 100 i (along + X axis)

Wave is in +Z axis

So, the magnetic field is in + Y axis.

(a) c = E / B

B = E / c = 100 / (3 x 10^8) = 3.33 x 10^-7 T along Y axis

(b) Frequency = wave speed / wavelength = ( 3 x 10^8) / (500 x 10^-9)

frequency = 6 x 10^14 Hz

(c) w = 2 x 3.14 x f = 2 x 3.14 x 6 x 10^14 = 3.768 x 10^15 rad/s

(d) k = reciprocal of wavelength = 1 / (500 x 10^-9) = 2 x 10^6 m^-1

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1411.8 N/m

Explanation:

From Hooke's law;

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F= force on the spring

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A ball is thrown straight upward and returns to the thrower’s hand after 1.8 s in the air. A second ball is thrown at an angle o
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U = 9.1 m/s

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from the question we are given the following

time (t) = 1.8 s

angle = 23 degrees

acceleration due to gravity (g) = 9.8 m/s^{2}

let us first calculate the initial velocity (u) which too the first ball to its maximum height from the equation below

v = u + 0.5at

  • The final velocity (v) is zero since the ball comes to rest
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u = 7.9 m/s

for the second ball to get to the maximum height of the first ball, the vertical component of its initial velocity (U) must be the same as the initial velocity of the first ball. therefore

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5 0
3 years ago
Two homogeneous bodies of the same volume
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Answer:

No, it is not necessary for them to have same mass.

Explanation:

Let both bodies have a density d1 and d2 respectively.

Since their volumes are equal V1 = V2

we know that, https://tex.z-dn.net/?f=%5Cfrac%7Bmass%7D%7Bvolume%7D

Hence, d1 =  and d2 =    

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Naturally occurring element X exists in three isotopic forms: X-28 (27.977 amu, 92.23% abundance), X-29 (28.976 amu, 4.67% abund
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Answer:

C. 28.09 amu

Explanation:

The natural occurring element exist in 3 isotopic forms: namely X-28 (27.977 amu, 92.23% abundance),  X-29 (28.976 amu, 4.67% abundance) and  X-30 (29.974 amu, 3.10% abundance).

The atomic weight of elements depends on the isotopic abundance. If you know the fractional abundance and the mass of the isotopes the atomic weight can be computed.

The atomic weight is computed as follows:

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atomic weight = 27.977 × 0.9223 + 28.976 × 0.0467 + 29.974 ×  0.0310

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To 2 decimal place atomic weight = 28.09 amu

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