1
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
Change Language

A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is 0.5, the maximum length of the chain hanging from the table is ___________ m.

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2
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
Change Language

A 0.5 kg block moving at a speed of 12 ms$$-$$1 compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be _______________ Nm$$-$$1.

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3
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
Change Language

The velocity of upper layer of water in a river is 36 kmh$$-$$1. Shearing stress between horizontal layers of water is 10$$-$$3 Nm$$-$$2. Depth of the river is __________ m. (Co-efficient of viscosity of water is 10$$-$$2 Pa.s)

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4
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language

A steam engine intakes 50 g of steam at 100$$^\circ$$C per minute and cools it down to 20$$^\circ$$C. If latent heat of vaporization of steam is 540 cal g$$-$$1, then the heat rejected by the steam engine per minute is __________ $$\times$$ 103 cal.

(Given : specific heat capacity of water : 1 cal g$$-$$1 $$^\circ$$C$$-$$1)

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