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JEE Main 8 April 2024, Shift 1, Physics Q37

Question 37 of 90 in this shift, Physics question 7 of 30, Section A.

Two different adiabatic paths for the same gas intersect two isothermal curves as shown in P-V diagram. The relation between the ratio

\frac{V_a}{V_d}

and the ratio

\frac{V_b}{V_c}

is:

The figure, in words

P-V diagram with two isothermal curves (through a and d... upper through a and b, lower through d and c) intersected by two adiabatic curves (a to d and b to c). Volumes marked on the V axis in order V_a, V_d, V_b, V_c; pressure on the P axis with dashed guide lines.

(1) $\frac{V_a}{V_d}=\frac{V_b}{V_c}$ Official answer
(2) $\frac{V_a}{V_d}\neq\frac{V_b}{V_c}$
(3) $\frac{V_a}{V_d}=\left(\frac{V_b}{V_c}\right)^{-1}$
(4) $\frac{V_a}{V_d}=\left(\frac{V_b}{V_c}\right)^{2}$

Official answer

Option 1

NTA final key.

Chapter: Thermodynamics
Topic: First Law of Thermodynamics
Idea tested: Adiabatic P-V Relation

JEE Main 8 April 2024, Shift 1, Physics Q37

Same idea in other shifts