Partil: MCQ $(15\backslash$times $1)$

Two moles of helium gas initially at $300$ K and $0\mathrm{.}4$ atm are compressed isothermally to $1\mathrm{.}2$ atn $.$ The hear $($inkf$)$ transferred is:

a$)-10\mathrm{.}9$

b$)0\mathrm{.}8$

c$)-5\mathrm{.}47$

d$)3\mathrm{.}0$

Assume that Young's modulus for bone is $1\mathrm{.}010$ in Pa and that a bone will fracture if more than $1\mathrm{.}0*{10}^{-1}$ Pa is exerted. What is the maximum force $($in kN $)$ that can be exerted on the femur bone in the leg if it has a minimum effective cross section of $2\mathrm{.}5$ cm $?$

a$)2500\mathrm{.}0$

b$)25\mathrm{.}0$

c$)5000\mathrm{.}0$

d$)1\mathrm{.}010$

When water freezes, it expands by about $9\mathrm{.}00\%.$ The pressure increase $($in MPa$)$ inside an engine block if the water in it froze is: $($Hint: The bulk modulus of ice is $2\mathrm{.}0010\frac{N}{m^2}).$

a$)2000\mathrm{.}0$

b$)18000\mathrm{.}0$

c$)222\mathrm{.}0$

d$)180\mathrm{.}0$

Water and bemzene are poured in U$-$shaped glass tube, as shown. The water stands for high $H=25cm$; and the bentene stands for high h$=28$cm above the interface as shown in the figure. The density $($in kg$/$m$3)$ of the bentene is:

a$)892\mathrm{.}8$

b$)1120\mathrm{.}0$

c$)446\mathrm{.}4$

A submarine operates in ocean at depth of $5\mathrm{.}0$ km $.$ It has a window of area $50cm$ The density of the ocran water is $1\mathrm{.}025{10}^{1}k\frac{g}{m^2}.$ The force $($in kN