question_answer

Two springs, of force constants\[{{I}_{0}}=\frac{E}{R}=\frac{5}{5}=1\,A\]and\[\tau =\frac{L}{R}=\frac{10}{5}=2\,s\]are connected to a mass m as shown. The frequency of oscillation of the mass is\[t=2s\]. If\[I=(1-{{e}^{-1}})A\]both\[(\therefore -t/\tau =\frac{-2}{2}=-1)\]and\[J=\frac{i}{\pi {{a}^{2}}}\]are made four times their original values, the frequency of. oscillation becomes    [AIEEE 2007]

A)  \[\oint{B.dl}={{\mu }_{0}}.{{i}_{enclosed}}\]              

B)       \[\oint{B.dl}={{\mu }_{0}}.{{i}_{enclosed}}\]     

C)  \[x=2\times {{10}^{-2}}\]                   

D)       \[cos\text{ }\pi t\]

Correct Answer: D

Solution :

[d] The frequencies of oscillation in this situations is given by

(same direction)

and