JEE Main 2017 (Online) 9th April Morning Slot | Properties of Matter Question 145 | Physics

JEE Main 2017 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

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A steel rail of length 5 m and area of cross section 40cm² is prevented from expanding along its length while the temperature rises by 10^oC. If coefficient of linear expansion and Young’s modulus of steel are 1.2×10⁻⁵ K⁻¹ and 2×10¹¹ Nm⁻² respectively, the force developed in the rail is approximately :

2 $$ \times $$ 10⁷ N

1 $$ \times $$ 10⁵ N

2 $$ \times $$ 10⁹ N

3 $$ \times $$ 10^$$-$$5 N

JEE Main 2017 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

-1

Two tubes of radii r₁ and r₂, and lengths l₁ and l₂ , respectively, are connected in series and a liquid flows through each of them in stream line conditions. P₁ and P₂ are pressure differences across the two tubes.

If P₂ is 4P₁ and l₂ is $${{{1_1}} \over 4}$$, then the radius r₂ will be equal to :

r₁

2r₁

4r₁

$${{{r_1}} \over 2}$$

JEE Main 2017 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

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In an experiment, a sphere of aluminium of mass 0.20 kg is heated upto 150^oC. Immediately, it is put into water of volume 150 cc at 27^oC kept in a calorimeter of water equivalent to 0.025 kg. Final temperature of the system is 40^oC. The specific heat of aluminium is : (take 4.2 Joule = 1 calorie)

378 J/kg $$-$$^oC

315 J/kg $$-$$^oC

476 J/kg $$-$$^oC

434 J/kg $$-$$^oC

JEE Main 2017 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

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A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by $$\Delta $$T. The net change in its length is zero. Let $$\ell $$ be the length of the rod, A its area of cross-section,Y its Young’s modulus, and $$\alpha $$ its coefficient of linear expansion. Then, F is equal to :

$$\ell $$² Y$$\alpha $$ $$\Delta $$T

$$\ell $$A Y$$\alpha $$ $$\Delta $$T

A Y$$\alpha $$ $$\Delta $$T

$${{AY} \over {\alpha \,\Delta T}}$$

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