AIPMT 2012 Mock Test

A slab of area $0.36{\text{m}}^2$ and thickness $0.1\text{m}$ has ice on upper surface ($0^{\circ }\text{C}$) and steam on lower surface ($100^{\circ }\text{C}$). In one hour $4.8\text{kg}$ of ice melts. Thermal conductivity of slab is: ($L_f=3.36\times 10^5{\text{J kg}}^{-1}$)

In a coil of resistance $10\Omega$, the induced current varies with time as a triangle (peak $4\text{A}$ at $t=0$, zero at $t=0.1\text{s}$). The change in flux is:

A car starts from rest and accelerates so that instantaneous power delivered is constant ($P_0$). The instantaneous velocity is proportional to:

A train moving at $220{\text{ms}}^{-1}$ towards an object emits $1000\text{Hz}$ sound. Some sound reflects back as an echo. The frequency of the echo detected by the driver is: ($v_s=330{\text{ms}}^{-1}$)

Silicon transistor input resistance is $100\Omega$. Base current changes by $40\mu \text{A}$ resulting in collector current change of $2\text{mA}$. For a load resistance of $4\text{k}\Omega$ in common emitter, voltage gain is: