Mechanical Properties of Fluids — Physics STD 12 Science — Question

Derive an expression for the effective or equivalent capacitance (capacity) of a combination of a
number of capacitors connected in parallel.
OR
Derive an expression for the effective or equivalent capacitance of three capacitors connected in parallel.

On the basis of Huygens' wave theory of light prove that velocity of light in a rarer medium is greater than velocity of light in a denser medium.

A wire of density ' \(\rho\) ' and Young's modulus ' \(Y\) ' is stretched between two rigid supports separated by a distance ' \(L\) ' under tension ' \(T\) '. Derive an expression for its frequency in fundamental mode. Hence, show that \(n=\frac{1}{2 L} \sqrt{\frac{Y L}{\rho L}}\), where symbols have their usual meanings.

Describe how a potentiometer is used to compare the emfs of two cells by connecting the cells individually.

State and verify the laws of vibrating strings using a sonometer.

What are forced vibrations and resonance? Show that only odd harmonics are present in an air column vibrating in a pipe closed at one end.