1
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
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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2
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1
Out of Syllabus
In an experiment to verify Newton's law of cooling, a graph is plotted between the temperature difference ($$\Delta$$T) of the water and surroundings and time as shown in figure. The initial temperature of water is taken as 80$$^\circ$$C. The value of t2 as mentioned in the graph will be __________.

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3
JEE Main 2021 (Online) 1st September Evening Shift
Numerical
+4
-1
A steel rod with y = 2.0 $$\times$$ 1011 Nm$$-$$2 and $$\alpha$$ = 10$$-$$5 $$^\circ$$C$$-$$1 of length 4 m and area of cross-section 10 cm2 is heated from 0$$^\circ$$C to 400$$^\circ$$C without being allowed to extend. The tension produced in the rod is x $$\times$$ 105 N where the value of x is ____________.
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4
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
When a rubber ball is taken to a depth of __________m in deep sea, its volume decreases by 0.5%.
(The bulk modulus of rubber = 9.8 $$\times$$ 108 Nm$$-$$2, Density of sea water = 103 kgm$$-$$3, g = 9.8 m/s2)
(The bulk modulus of rubber = 9.8 $$\times$$ 108 Nm$$-$$2, Density of sea water = 103 kgm$$-$$3, g = 9.8 m/s2)
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