HARD
JEE Main
IMPORTANT
Earn 100

Water from a pipe is coming at a rate of 100 liters per minute. If the radius of the pipe is 5 cm, the Reynolds number for the flow is of the order of: (density of water = 100 kg/m3, coefficient of viscosity of water =1 mPa s)

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Important Questions on Properties of Solid and Liquid

MEDIUM
JEE Main
IMPORTANT
Young's moduli of two wires A and B are in the ratio  7:4 . Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has radius 2 mm. If the two wires stretch by the same length for a given load, the value of R is close to:
MEDIUM
JEE Main
IMPORTANT
The ratio of surface tensions of mercury and water is given to be 7.5, while the ratio of their densities is 13.6. Their contact angles, with glass, are close to 135° and 0°, respectively. If it is observed that mercury gets depressed by an amount h in a capillary tube of radius r1, while water rises by the same amount h in a capillary tube of radius r2, then the ratio r1r2 is close to
MEDIUM
JEE Main
IMPORTANT
The elastic limit of brass is 379 MPa. The minimum diameter of a brass rod if it is to support a 400 N load without exceeding its elastic limit will be
MEDIUM
JEE Main
IMPORTANT
A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water?
[Take, density of water  =103 kg/m3 ]
MEDIUM
JEE Main
IMPORTANT
In an experiment, brass and steel wires of length 1 m each with areas of cross section 1 mm2 are used. The wires are connected in series and one end of the combined wire is connected to a rigid support and other end is subjected to elongation. The stress required to produce a net elongation of 0.2 mm is,
[Given, the Young's Modulus for steel and brass are, respectively, 120×109 N/m2 and 60×109 N/m2 ]
MEDIUM
JEE Main
IMPORTANT
Water from a tap emerges vertically downwards with an initial speed of  1.0 ms-1 . The cross - sectional area of the tap is  10-4 m2 . Assume that the pressure is constant throughout the stream of water and that the flow is streamlined. The cross - sectional area of the stream, 0.15 m below the tap would be:
(Take  g=10 ms-2 )
MEDIUM
JEE Main
IMPORTANT
A submarine experiences a pressure of 5.05×106 Pa at a depth of d1 in a sea. When it goes further to a depth of  d2 , it experiences a pressure of  8.08×106 Pa . Then d2-d1 is approximately (density of water =103 kg/m3 and acceleration due to gravity  =10 ms-2 ):
EASY
JEE Main
IMPORTANT
Water flows into a large tank with flat bottom at the rate of 10-4 m3s-1. Water is also leaking out of a hole of area 1 cm2 at its bottom. If the height of the water in the tank remains steady then this height is: