Calculate the velocity of a neutron needed to achieve a wavelength of 1.40 å . (take the mass of the neutron m=1.6749×10−27kg). v = m/s

Given:

Wavelength of neutron = 1.40 A

To determine:

the velocity of neutron

Explanation:

The relation between wavelength λ and velocity v can be expressed through the de Broglie relation:

λ = h/mv

where h = planck's constant 6.626*10⁻³⁴ Kg.ms-2

m = mass of neutron = 1.6749*10⁻²⁷ kg

v = h/mλ = 6.626*10⁻³⁴/1.6749*10⁻²⁷*1.40*10⁻¹⁰ = 2.83*10³ m/s

Ans : velocity v = 2.83*10³ m/s

when the volume of gas is   changed from   717.73 ml   to 852 ml   the temperature will   change   from 315   c to 452   c

    calculation

this is calculated using the charles law formula

that is,   v1/t1 = v2/t2

          v1=?

        t1 = 315 c   into   kelvin = 315 +273 = 588 k

        v2 = 852   ml

        t2 = 425c + 273 =698 k

make v1   the subject of the formula ( by   multiplying both side by t1)

  v1=( v2 xt1) / t2

v1= (852 ml   x 588 k)/ 698 k= 717.73 ml