The rest energy of a particle is
where
is the rest mass of the particle and c is the speed of light.
The total energy of a relativistic particle is
where v is the speed of the particle.
We want the total energy of the particle to be twice its rest energy, so that
which means:
From which we find the ratio between the speed of the particle v and the speed of light c:
So, the particle should travel at 0.87c in order to have its total energy equal to twice its rest energy.
The correct choice is
D. electron
mass of proton is 1.67 x 10⁻²⁷ kg and has positive charge on it.
mass of neutron is slightly greater than the mass of proton. the mass of neutron is 1.675 x 10⁻²⁷ kg and has no charge on it.
mass of electron is 9.31 x 10⁻³¹ kg
comparing the masses of electron, proton, neutron and the nucleus, we see that the mass of electron is smallest.
Answer:
1) We will have excess of electrons
2) The number of electrons transferred equals 
Explanation:
Part a)
Since we know that the charge transfer occurs by the transfer of electrons only as it is given that the carpet has acquired a positive charge it means that it has lost some of the electron's since electrons are negatively charged and if a neutral body looses negative charge it will become positively charged. The electron's that are lost by the carpet will be acquired by the feet of the human thus making us negatively charged.Hence we will gain electrons making us excess in electrons.
Part b)
From charge quantinization principle we have
where
Q = charge of body
n = no of electrons
e = fundamental charge
Applying values in the above equation we get
There is a relationship between the energy of a photon and its wavelength. This can be expressed as a mathematical equation shown below:
E = hc/λ
where
h is the Planck's constant equal to 6.62607004 × 10⁻³⁴ m²<span> kg / s
c is the speed of light equal to 3</span>× 10⁸ m/s
λ is the wavelength
3.5×10⁻¹⁶ J = (6.62607004 × 10⁻³⁴ m² kg / s)(3× 10⁸ m/s)/λ
Solving for λ,
λ = 56.8×10⁻⁹ m or<em> 56.8 nm</em>
The answer would be Newton’s Second Law
