A deuteron & an α -particle are placed in an electric field. The forces acting on them are F1 &F2 their acceleration are a1 &a2 respectively: (i) F1=F2 (ii) F1≠ F2 (iii) a1=a2 (iv) a1≠ a2

Question

A deuteron & an α -particle are placed in an electric field. The forces acting on them are F1 &F2 their acceleration are a1 &a2 respectively: (i) F1=F2 (ii) F1≠ F2 (iii) a1=a2 (iv) a1≠ a2 (A) (i), (ii) (B) (ii), (iii) (C) (ii), (iv) (D) (i), (iv)

Tardigrade Admin · Accepted Answer

Deutron (e , 2 m);α -particle (2 e , 4 m) F1=eE,F2=2eE a1=(e E/2 m),a2=(2 e E/4 m)=(e E/2 m) F1≠ F2,a1=a2

Q. A deuteron & an $α$ -particle are placed in an electric field. The forces acting on them are $F_{1} & F_{2}$ their acceleration are $a_{1} & a_{2}$ respectively:
(i) $F_{1} = F_{2}$
(ii) $F_{1} \neq = F_{2}$
(iii) $a_{1} = a_{2}$
(iv) $a_{1} \neq = a_{2}$

(i), (ii)

(ii), (iii)

(ii), (iv)

(i), (iv)

Deutron $(e, 2 m); α$ -particle $(2 e, 4 m)$
$F_{1} = e E, F_{2} = 2 e E$
$a_{1} = \frac{e E}{2 m}, a_{2} = \frac{2 e E}{4 m} = \frac{e E}{2 m}$
$F_{1} \neq = F_{2}, a_{1} = a_{2}$

Q. A deuteron & an α -particle are placed in an electric field. The forces acting on them are F1​&F2​ their acceleration are a1​&a2​ respectively: (i) F1​=F2​ (ii) F1​=F2​ (iii) a1​=a2​ (iv) a1​=a2​