Physics Questions and Answers

In general, the velocity of sound in air varies directly as the square root of temperature measured in kelvin.

That V \( \propto \sqrt{T} \implies V^2 \propto T. \\

\text{Therefore} \frac{V^2_1}{T_1} = \frac{V^2_2}{T_2} \\

\text{Thus Let } V_1 = 4m/s \\
T_1 = 10K \\
\text{Therefore } V_2 = 2V_1 = 8m/s \\

\implies \frac{4^2}{10} = \frac{8^2}{T_2} \\

T_2 = \frac{64 \times 10}{16} = 40K\\

T_2 = 4T_1 \)

Thus when the velocity of sound in air is doubled, it's absolute temperature will be quadrupled.

No explanation has been provided for this answer.

Irms = \( \frac{I_0}{\sqrt{2}} \)

\( \text{Therefore } \sqrt{2Irms} = I_0 \\

\frac{Irms}{I_0} = \frac{1}{\sqrt{2}} \)

Rate of diffusion is inversely proportional to the square root of density - Graham's law

\( P \propto \frac{1}{v} \) at constant temperature - Boyle's law

\( P \propto T \) at constant volume - Pressure law

\( P \propto T \) at constant pressure - Charles law

therefore no correct option

- Alpha radiation consists of helium- He\(^{4}_{2}\)

2 Alpha decay --> 2  X  He\(^{4}_{2}\) = Element\(^{8}_{4}\) 

- Beta particles are high energy electrons-  e\(^{0}_{-1}\)

3 Beta particles --> 3  X  e\(^{0}_{-1}\) = Element\(^{0}_{-3}\)

- Gamma rays are waves of electromagnetic energy, or photons.

the mass and atomic number of the resulting element = U\(^{235}_{92}\) - Elements( \(^{8}_{4}\) +  \(^{0}_{-3}\) )

--> Element\(^{227}_{91}\)