In a spring-block system, the length of the spring is reduced by $1 \%$. The time period will

A $5 \mathrm{\mu F}$ capacitor is fully charged across a $12 \mathrm{V}$ battery. It is then disconnected from the battery and connected to an uncharged capacitor. If the voltage across the capacitor becomes $3 \mathrm{V}$ then the capacitance of the uncharged capacitor will be

A flywheel of mass $10 \mathrm{kg}$ and radius $10 \mathrm{cm}$ is revolving at a speed of $240 \mathrm{rpm}$. Its kinetic energy is

Toroid is a solenoid of

For the series $L C R$ circuit shown in the figure, what is the resonance frequency and the amplitude of the current at the resonating frequency?

In Young's experiment, the slits separated by distance of $2 \mathrm{mm}$ are illuminated with a mixture of two wavelengths ${\lambda }_0=750 \mathrm{nm}$ and $\lambda =900 \mathrm{nm}$. At what distance from the common central bright fringe on a screen $2 \mathrm{m}$ away from the slits will a bright fringe from one interference pattern coincide with a bright fringe from other?

A refrigerator with the coefficient of performance $\frac{1}{3}$ releases $200 \mathrm{J}$ of heat to a hot reservoir. Then the work done on the working substance is

The capacitance of a parallel plate capacitor can be increased by

In the determination of Young's modulus $Y=\frac{4MLg}{\mathrm{\pi }l{d}^2}$ by using Searle's method, a wire of length $L=180 \mathrm{cm}$ and diameter $d=0.6 \mathrm{mm}$ is used. For a load of mass $4 \mathrm{kg}$ an extension $l=0.2 \mathrm{mm}$ in the length of the wire is observed. Quantities $d$ and $l$ are measured using a screw gauge and a micrometer, respectively. They have the same pitch of $0.5 \mathrm{mm}$. The number of divisions on their circular scale is $100$. The contributions to the maximum probable error of the measurement are