A parallel plate capacitor has plate area $40 \text{ cm}^2$ and plates separation $2$ mm. The space between the plates is filled with a dielectric medium of a thickness $1$ mm and dielectric constant $5$. The capacitance of the system is

In a metre bridge experiment the balance point is obtained if the gaps are closed by $2$ $\Omega$ and $3\Omega$. A shunt of $X$ $\Omega$ is added to $3$ $\Omega$ resistor to shift the balancing point by $22.5$ cm. The value of $X$ is

A galvanometer has a current range of $10$ mA and a voltage range of $0.75$ V. To convert this galvanometer into an ammeter of range $10$ A, what is the shunt resistance?

Which of the following figure best represents the variation of magnetic susceptibility ($\chi$) with temperature for a diamagnetic substance?