JEE Main 2026 Physics question

PhysicsKinetic Theory of GasesJEE Main 2026

A cylindrical tube AB of length , closed at both ends contains an ideal gas of 1 mol having molecular weight M. The tube is rotated in a horizontal plane with constant angular velocity about an axis perpendicular to AB and passing through the edge at end A, as shown in the figure. If and are the pressures at A and B respectively, then (Consider the temperature is same at all points in the tube)

Figure for this question
Answer: (1)

Solution

Setting up pressure balance with centripetal acceleration and integrating gives .

Question ID VK-001107