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Q: How do you measure the angle of deflection of beta particles?
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Are beta particles positive or negative?

Beta particles can be either positive or negative. It depends if an electron or a positrion is emited. Usually though, beta particles are negative as it is much more common for an electron to be emitted (though that does depend on the substance).


Typical greek letter used in denoting a angle?

alpha, beta, and theta are commonly used for this.


How do you find the length of the arc if r equals 9.234 mm beta equals 5 pi over 4?

It depends on which angle beta is: the angle subtended by the arc at the centre of the circle (assuming that it is a circle and not an ellipse or some other shape), otr the angle subtended by the chord and one of the radii. Basically, there is not enough information provided in the question to give a sensible answer.


What does alpha mean in math?

Normally, alpha is used to represent an angle. Just like "x" is used to represent an unknown number or angle, alpha, theta, beta are used to represent unkown angles.


What is the approximate size of the smallest angle of a triangle whose sides are 4 5 and 8?

Why approximate? I will show you what you should know being in the trig section. Law of cosines. Degree mode!! a = 4 (angle opposite = alpha) b = 5 ( angle opposite = beta) c = 8 ( angle opposite = gamma ) a^2 = b^2 + c^2 - 2bc cos(alpha) 4^2 = 5^2 + 8^2 - 2(5)(8) cos(alpha) 16 = 89 - 80 cos(alpha) -73 = -80 cos(alpha) 0.9125 = cos(alpha) arcos(0.9125) = alpha alpha = 24.15 degrees ------------------------------ b^2 = a^2 + c^2 - 2bc cos(beta) 5^2 = 4^2 + 8^2 - 2(4)(8) cos(beta) 25 = 80 - 64 cos(beta) -55 = -64 cos(beta) 0.859375 = cos(beta) arcos(0.859375) = beta beta = 30.75 degrees --------------------------------- Now to find gamma, subtract from 180 degrees 180 - 24.15 - 30.75 = 125.1 degrees alpha = 24.15 degrees ( subject to rounding, but all add to 180 degrees ) beta = 30.75 degrees gamma = 125.1 degrees now you see the smallest, the angle opposite the a side, which is 4 ( be in degree mode!!)