NUMERICAL

Given $E=10~V$, $R=10$, $L=10~mH$, $\frac{N}{e}=10^{4}$. Find energy density when current is $-\frac{1}{e}$ of max. If value is $a \frac{\pi}{e^{2}}$. Find $a$ .

MCQ_SINGLE

Two rods of equal length 60 cm each are joined together end to end. The coefficients of linear expansion are $24\times10^{-6\circ}C^{-1}$ and $1.2\times10^{-5\circ}C^{-1}$. Initial temperature $30^{\circ}C$ is increased to $100^{\circ}C$. Find final length (in cm).

MCQ_SINGLE

Ratio of de-Broglie wavelengths of a proton and an alpha particle accelerated through the same potential is:

MCQ_SINGLE

Detector $D$ moves from $A$ to $B$ and observe the frequencies are differing by $10~Hz$. Source is emitting frequency $f_{0}$ as shown: Speed of detector is $35$ times less than speed of sound. Then $f_{0}$ is :

MCQ_SINGLE

An air-filled capacitor of capacitance $C$ is filled with a dielectric $(k=3)$ of width $\frac{d}{3}$, where $d$ is the separation between the plates. The new capacitance is:

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