MEDIUM
JEE Main
IMPORTANT
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Consider a cylindrical tank of radius 1 m is filled with water. The top surface of water is at 15 m from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of 5 m from the bottom. A force of 5×105 N is applied an the top surface of water using a piston. The speed of efflux from the hole will be :
(given atmospheric pressure PA=1.01×105 Pa, density of water ρw=1000 kg m-3 and gravitational acceleration g=10 m s-2)

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Important Questions on Properties of Solid and Liquid

MEDIUM
JEE Main
IMPORTANT
A string of area of cross-section 4 mm2 and length 0.5 is connected with a rigid body of mass 2 kg. The body is rotated in a vertical circular path of radius 0.5 m. The body acquires a speed of 5 m s-1 at the bottom of the circular path. Strain produced in the string when the body is at the bottom of the circle is _____ ×10-5. (Use Young's modulus 1011 N m-2 and g=10 m s-2)
EASY
JEE Main
IMPORTANT

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): Clothes containing oil or grease stains cannot be cleaned by water wash.

Reason (R): Because the angle of contact between the oil/grease and water is obtuse. In light of the above statements, choose the correct answer from the option given below.

EASY
JEE Main
IMPORTANT
If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will :
MEDIUM
JEE Main
IMPORTANT

The velocity of a small ball of mass 0.3 g and density 8 g cc-1 when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 1.3 g cc-1, then the value of viscous force acting on the ball will be x×10-4 N, the value of x is _____ .

[use g=10 m s-2]

MEDIUM
JEE Main
IMPORTANT
The speed of a transverse wave passing through a string of length 50 cm and mass 10 g is 60 m s-1. The area of cross-section of the wire is 2.0 mm2 and its Young's modulus is 1.2×1011 N m-2. The extension of the wire over its natural length due to its tension will be x×10-5 m. The value of x is _____ .
EASY
JEE Main
IMPORTANT
A 100 m long wire having cross-sectional area  6.25×10-4 m2 and Young's modulus is 1010 N m-2 is subjected to a load of 250 N, then the elongation in the wire will be :
EASY
JEE Main
IMPORTANT

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion (A) : Steel is used in the construction of buildings and bridges.
Reason (R) : Steel is more elastic and its elastic limit is high. 

In the light of above statements, choose the most appropriate answer from the options given below

MEDIUM
JEE Main
IMPORTANT

A spherical ball of radius 1 mm and density 10.5 g cc-1 is dropped in glycerine of coefficient of viscosity 9.8 poise and density 1.5 g cc-1. Viscous force on the ball when it attains constant velocity is 3696×10-x N. The value of x is

(Given, g=9.8 m s-2 and π=227)