A sample of ${ }_{92}^{238}\mathrm{U}$ when kept at $298 K$ in a closed vessel shows $\alpha$-decay and $\beta$-decay to give ${ }_{82}^{206}\mathrm{Pb}$. After $t$ hour the volume of the gas collected in the vessel at $1 atm, 273 K$ is found to be $89.6 ml$. Then which of the following is/are correct for the nuclear process and the products of the process?

Mass of $Pb$ obtained in time $t$ hour $103 mg.$${10}^{\circ }C$

If the temperature is increased by ${10}^{\circ }C$ then the time taken for the same amount of gas to be produced will be $\frac{t}{2}$ hour.

$\alpha$ particles show more ionisation power $\mathrm{\beta }$ particles.

 $\gamma$ radiations undergoes no deviation while traveling through electric or magnetic field.