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

In series R-L circuit, voltage of battery is $10~V$. Resistance and inductance are $10~\Omega$ and $10~mH$ respectively. Find energy stored in the inductor when current reaches $\frac{1}{e}$ times of maximum value :

MCQ_SINGLE

Find dimensions of $\frac{A}{B}$ if $(P+\frac{A^{2}}{B})+\frac{1}{2}\rho V^{2}=$ constant, where $P\rightarrow$ pressure, $\rho\rightarrow$ density, $V$ speed.

NUMERICAL

Six charges (four $+q$, two $-q$) are present at circle of radius $r$ and centred at origin as shown. Electric field at origin is .

NUMERICAL

In a potentiometer null point for two resistance $R_{1}$ and $R_{2}$ is at $40~cm$ as shown. If $16~\Omega$ is connected in parallel to $R_{2}$ then null point is at $50~cm$ then $R_{1}$ and $R_{2}$ are respectively .

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