A manometer has a vertical of cross-sectional area 9 {A} and an inclined arm having area of cross section A. The density of the manometer liquid has a specific gravity of 0.74. The scale attached to the inclined arm can read up to \\pm0.5 {mm}. It is desired that the manometer shall record pressure difference (P _{1} -{P}_{2} ) up to an accuracy of \pm 0.09 {mm} of water. To achieve this, the inclination angle \\theta of the inclined arm should be

Correct Answer is : sin−1(0.13)

JEE Advanced 2021 Full Test 4 Paper 1

PART – I

Physics

SECTION – A (One Options Correct Type)
This section contains 06 multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE option is correct.

Question : 5 of 54

Marks: +1, -0

A manometer has a vertical of cross-sectional area 9A and an inclined arm having area of cross section A. The density of the manometer liquid has a specific gravity of 0.74. The scale attached to the inclined arm can read up to ±0.5mm. It is desired that the manometer shall record pressure difference (P ‌1 −P2 ) up to an accuracy of pm‌0.09‌mm of water. To achieve this, the inclination angle θ of the inclined arm should be

sin−1(0.13)
sin−1(0.03)
sin−1(0.33)
sin−1(0.23)

Validate

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