Step 1: Current gain definition
\[ \beta = \frac{\Delta I_C}{\Delta I_B} \]
\[ I_E = I_B + I_C \]
Step 2: Find base current change
\[ \Delta I_B = \Delta I_E - \Delta I_C \]
\[ \Delta I_B = 4 - 3.5 = 0.5 \, \text{mA} \]
Step 3: Calculate current gain
\[ \beta = \frac{3.5}{0.5} = 7 \]
Final Answer: \( 7 \)
In Bohr model of hydrogen atom, if the difference between the radii of \( n^{th} \) and\( (n+1)^{th} \)orbits is equal to the radius of the \( (n-1)^{th} \) orbit, then the value of \( n \) is: