In the cylinder shown in the figure, air is enclosed under the piston. Piston mass M=60 kg, crosssectional area of the cylinder `S_(0)=20cm^(2)` atmospheric pressure `P_(0)=10^(5) pa alpha=37^(@)`. The air temperature is constant, the friction is negligible.

What is the pressure of the enclosed gas?

Options

A. `3.4 xx 10^5 Pa`
B. `4 xx 10^5 Pa`
C. `4.75 xx 10^5 Pa`
D. `2.8 xx 10^5 Pa`

Answer

B

Explanation

`P_0 xx S_0 + mg = P xx S_0 sec 37^(@ )xx cos 37^(@)`
`rArr P = P_0 + (msg)/(S_0)`
`rArr 10^5 + (600)/(20 xx 10 ^-4)`
`=4 xx 10^5 Pa`