Question

calculate the velocity of an Alpha particle which has a kinetic energy of 3.50 into 10 power 7 3 joules the mass of an Alpha particle is 6.6 into 10 power minus 27​

Answer 1

Answer:

This is the answer

Answer 2

The alpha particle travels with a velocity of $1.03X10^{17} m/s$.

Given,

Let us assume that the mass of the alpha particle given in the question is in grams.

Mass of the alpha particle=$6.6X10^{-27}$ g.

Kinetic energy of the alpha particle=$3.5X10^{7}$ J.

To find,

the velocity of the alpha particle.

Solution:

• An alpha particle is also known as alpha radiation.
• It consists of two protons and two neutrons bound together in its nucleus.
• its nucleus is identical to that of Helium-4.
• It has a mass of 4 amu. (1 amu=$1.67X10^{-24}$g)
• It has a charge of 2e. (1 e=$1.6X10^{-19}$ coulombs).

The kinetic kinetic energy of an alpha particle can be calculated as:

$K.E.=\frac{1}{2} mv^{2}$

where,

K.E.-kinetic energy

m-mass of the particle

v-velocity of the object

$K.E.=\frac{1}{2} mv^{2} \\v^{2}=\frac{2K.E.}{m} \\v=\sqrt{\frac{2K.E.}{m} } \\v=\sqrt{\frac{2X3.5X10^{7} }{6.6X10^{-27} } } \\v=\sqrt{\frac{7X10^{7} }{6.6X10^{-27} } } \\v=\sqrt{\frac{7X10^{34} }{6.6} } \\v=\sqrt{1.06X10^{34} } \\v=1.03X10^{17} m/s.$

The velocity of the alpha particle is $1.03X10^{17} m/s$.

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