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ન્યુકિલયસ બે ભાગમાં વિભાજીત થાય છે. તેમનાં વેગનો ગુણોત્તર $8 : 1$ છે,તો ત્રિજયાનો ગુણોત્તર કેટલો હશે?

A

$1:2$

B

$1:4$

C

$4:1$

D

$2:1$

Solution

$m_1\,v_1 = m_2\,v_2$

$\Rightarrow$ $\frac{{{v_1}}}{{{v_2}}} = \frac{8}{1} = \frac{{{m_2}}}{{{m_1}}}\,\,…… (i)$

$r \propto {A^{1/3}}$

$⇒ \frac{{{r_1}}}{{{r_2}}} = {\left( {\frac{{{A_1}}}{{{A_2}}}} \right)^{1/3}} $

$= {\left( {\frac{1}{8}} \right)^{1/3}} = \frac{1}{2}$

Standard 12
Physics

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