In hydrogen atom, an electron jumps from bigger orbit to smaller orbit, so that radius of smaller orbit is one-fourth of radius of bigger orbit. If speed of electron in bigger orbit was v,then speed in smaller orbit isA. `v/4`B. `v/2`C. `v`D. `2v`

In hydrogen atom, an electron jumps from bigger orbit to smaller orbit

1.	In hydrogen atom, an electron jumps from bigger orbit to smaller orbit, so that radius of smaller orbit is one-fourth of radius of bigger orbit. If speed of electron in bigger orbit was v,then speed in smaller orbit isA. `v/4`B. `v/2`C. `v`D. `2v`
Answer» Correct Answer - D Radius of nth orbit,`r_(n)propto n^(2)` `(r_("n big"))/r_("n small")=(n^(2)big)/("n^(2)small)=4/1 ` (given) Rightarrow`n_(big)/n_(small)=2` Rightarrow`n_(small)/n_(big)=1/2` Velocity of electron in nth orbit `v_(n)propto1/n` `v_"(n big)"/(v_"(n small)" )=(n_(small))/n_(big)=1/2` Rightarrow`V_"n small"=2(v_"n big")=2v`

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In hydrogen atom, an electron jumps from bigger orbit to smaller orbit, so that radius of smaller orbit is one-fourth of radius of bigger orbit. If speed of electron in bigger orbit was v,then speed in smaller orbit isA. `v/4`B. `v/2`C. `v`D. `2v`

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