Question

Let E,G and N represents the magnitude of electromagnetic, gravitational and nuclear forces between protons and electrons at a given separation (1 fermi meter). Then

• A. N < E < G
• B. E > N > G
• C. G > N > E
• D. N > E > G

Answer 1

The correct option is D N > E > G

$r=1fermimeter$ which is same for all.
$F_e=\frac{k_e{q}_1{q}_2}{r^2};F_g=\frac{G{m}_1{m}_2}{r^2}$ ;
$F_N=\frac{\alpha }{r^2}$
where$k_e=8.988\times {10}^9{N}^2{m}^2{c}^2$;
$q_1=-1.6\times {10}^{-19}c$;
$q_2=1.6\times {10}^{19}$;
$G=6.67\times {10}^{-11}{m}^{3}k{g}^{-1}{s}^2$;
$m_1=9.1\times {10}^{-31}kg$;
$m_2=1.67\times {10}^{-27}kg$;
$\alpha =2.3103\times {10}^{-28}$
$F_e=2.307\times {10}^{-28}$ ;

$F_g=1.868\times {10}^{-64}$ ;
$F_N=2.3103\times {10}^{-28}$
hence,$F_N>F_e>F_g$