MCQ_SINGLE

Find the heat produced in the external circuit (AB) in one second (refer to circuit diagram).

NUMERICAL

Match the following : \begin{tabular}{|l|l|} \hline List -1 & List-II \\ \hline (A) Spring constant & (i) $ML^{2}T^{-2}K^{-1}$ \\ \hline (B) Thermal conductivity & (ii) $ML^{0}T^{-2}$ \\ \hline (C) Boltzmann constant & (iii) $ML^{2}T^{-2}A^{-2}$ \\ \hline (D) inductance & (iv) $ML^{2}T^{-3}K^{-1}$ \\ \hline & (v) $M^{1}L^{-1}T^{-2}$ \\ \hline & (vi) $ML^{2}T^{-2}$ \\ \hline \end{tabular}

NUMERICAL

If radius and density of planet $A$ are $R$ and $\rho$ respectively and escape velocity of planet $A$ is $10~km/h$. If radius of planet $B$ is $10\%$ of planet $A$ and $\rho_B = 10\%$ planet of $A$. Calculate of escape velocity of planet $B$ .

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

An ideal solenoid is kept with its axis vertical. A current $I_{0}$ is flowing in the solenoid. A charge q is thrown vertically downward inside the solenoid. The acceleration of the charged particle is:

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