This question was previously asked in

SSC JE ME Previous Paper 3 (Held on: 27 Sep 2019 Evening)

Option 3 : \(1 + \frac{{Swept\;{\rm{volume}}}}{{Clearance\;{\rm{volume}}}}\)

ST 1: General Knowledge

4810

20 Questions
20 Marks
20 Mins

**Explanation:**

The above figure is of **Otto Cycle** on **PV graph**

\({\bf{compression}}\;{\bf{ratio}} = \frac{{{{\bf{V}}_1}}}{{{{\bf{V}}_2}}}\)

Here;

V1 = swept volume + clearance volume

V2 = clearance volume

Therefore,

\({\bf{Compression}}\;{\bf{ratio}}\; = \frac{{\;{\bf{swept}}\;{\bf{volume}} ~+ ~{\bf{clearance}}\;{\bf{volume}}}}{{{\bf{clearance}}\;{\bf{volume}}}}\;\)

**Hence;**

\({\bf{compression}}\;{\bf{ratio}} = 1 + \frac{{{\bf{swept}}\;{\bf{volume}}}}{{{\bf{clearance}}\;{\bf{volume}}}}\)