prove that 1amu =1.66×10to the power -24
Answers
Explanation:
helloAnswer:
Answer:
DRIFT VELOCITY ( Vd ) = 4 × 10^-28 m / s.
Explanation:
★ CURRENT ELECTRICITY ★
★ GIVEN ;
» Current ( i ) = 10 Ampere
» Copper Conductor = 1 Free Electron
» Radius of Wire ( R ) = 1 mm
» Atomic Mass of Copper ( MM ) = 64 amu
» Density of COPPER ( p ) = 8900 Kg / m³
» 1 amu = 1.66 × 10^-27 Kg
★ No. of FREE ELECTRONS PER UNIT VOLUME ( n ) = ???
★ DRIFT VELOCITY ( Vd ) = ???
________[ BY USING FORMULA ]_______
[ ]
★ n = [ 6 × 10²³ × 8900 ] / 64 amu
» n = [ 6 × 10²³ × 8900 ] / 64 × 1.66 × 10^-27
» n = [ 534 × 10^25 ] / 106.25 × 10^-27
★» No. of Free Electrons = 5 × 10^52 «★
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SUBSTITUTION ABOVE VALUE IN GIVEN ; " FORMULA "
★ i = n × e × π r² × Vd
» i = 5 × 10^52 × 1.6 × 10^-19 × π ×
» i = 5 × 10^52 × 1.6 × 10^-19 × π × ( 10-³ )² × Vd
» 10 = 8 × π × 10^³³ × 10-^6 × Vd
» 10 = 25.12 × 10^27 × Vd
» Vd = [ 10 / 25 × 10^27 ]
» Vd = [ 10 × 10^-27 / 25 ]
» Vd = [ 100 × 10^-28 / 25 ]
VD = 4 × 10^-28 m/s