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Question

Physics Question on Electric charges and fields

A deuteron and an a-particle are placed in an electric field. If F1F_1 and F2F_2 be the forces acting on them and a1a_1 and a2a_2 be their accelerations respectively then, a1=a2a_1 = a_2. Forces will be same in electric field.

A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

C

If Assertion is correct but Reason is incorrect.

D

If both the Assertion and Reason are incorrect.

Answer

If Assertion is correct but Reason is incorrect.

Explanation

Solution

qd=e,md=2mp=2mq _{ d }= e , m _{ d }=2 m _{ p }=2 m qα=2e,mα=4mp=4mq _{\alpha}=2 e , m _{\alpha}=4 m _{ p }=4 m F1=Fα=eE,F2=Fα=2eEF1F _{1}= F _{\alpha}= eE , F _{2}= F _{\alpha}=2 e E \neq F _{1} Further, a1=F12m=eE2ma _{1}=\frac{ F _{1}}{2 m }=\frac{ eE }{2 m } anda 2=F22m=2eE4m=eE2m=a1_{2}=\frac{ F _{2}}{2 m }=\frac{2 e E }{4 m }=\frac{ eE }{2 m }= a _{1}