NEET 2022 Question Paper Mock Test

A series LCR circuit with inductance $10\text{H}$, capacitance $10\mu \text{F}$, resistance $50\Omega$ is connected to an ac source of voltage, $V=200\sin (100t)\text{volt}$. If the resonant frequency of the LCR circuit is ${\nu }_0$ and the frequency of the ac source is $\nu$, then:

Match List - I with List – II regarding gravitational quantities.

Two pendulums of length $121\text{cm}$ and $100\text{cm}$ start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is:

A big circular coil of $1000\text{turns}$ and average radius $10\text{m}$ is rotating about its horizontal diameter at $2\text{rad/s}$. If the vertical component of earth’s magnetic field at that place is $2\times 10^{-5}\text{T}$ and electrical resistance of the coil is $12.56\Omega$, then the maximum induced current in the coil will be:

A capacitor of capacitance $C=900\text{pF}$ is charged fully by $100\text{V}$ battery. Then the battery is disconnected and the capacitor is connected to another uncharged capacitor of capacitance $C=900\text{pF}$. The electrostatic energy stored by the system is: