Physics-
General
Easy
Question
A solid sphere of radius r made of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid. When a mass m is placed on the piston to compress the liquid, the fractional change in the radius of the sphere (dr/r) is
/mg 
3mg - Mg/3
- Mg/
/mg 3mg The correct answer is: Mg/3
In volume of sphere in liquid,
V = 
(i)
When mass m is placed on the piston, the increased pressure 
since this increased pressure is equally applicable to all directions on the sphere, so there will be decrease in volume of sphere, due to decrease in its radius. From Eq.(i), change in volume is
Now, 
Related Questions to study
Physics-
Which of the following rods of same material undergoes maximum elongation when subjected to a given force?
Which of the following rods of same material undergoes maximum elongation when subjected to a given force?
Physics-General
Physics-
A tensile force of 
doubles the length of a rubber band of cross-sectional area
The Young’s modulus of elasticity of the rubber band is
A tensile force of doubles the length of a rubber band of cross-sectional area The Young’s modulus of elasticity of the rubber band is
Physics-General
Physics-
The twisting couple per unit twist for a solid cylinder of radius 3 cm is 0.1 N-m. The twisting couple per unit twist, for a hollow cylinder of same material with outer and inner radius 5 cm and 4 cm respectively will be
The twisting couple per unit twist for a solid cylinder of radius 3 cm is 0.1 N-m. The twisting couple per unit twist, for a hollow cylinder of same material with outer and inner radius 5 cm and 4 cm respectively will be
Physics-General
Maths-
In an equilateral triangle the in-radius and the circum-radius are connected by -
In an equilateral triangle the in-radius and the circum-radius are connected by -
Maths-General
Maths-
If the sides of a triangle are 3 : 7 : 8 then R : r =
If the sides of a triangle are 3 : 7 : 8 then R : r =
Maths-General
Maths-
In a triangle ABC,
is equal to -
In a triangle ABC, is equal to -
Maths-General
Maths-
In a ABC, 2R2 sinA sinB sinC =
In a ABC, 2R2 sinA sinB sinC =
Maths-General
Maths-
If 8R2 = a2 + b2 + c2, then the is -
If 8R2 = a2 + b2 + c2, then the is -
Maths-General
Maths-
In an equilateral triangle of side 
cms. The circum radius is -
In an equilateral triangle of side cms. The circum radius is -
Maths-General
Maths-
If the lengths of the sides of a triangle are 3, 4 and 5 units then R the circum radius is -
If the lengths of the sides of a triangle are 3, 4 and 5 units then R the circum radius is -
Maths-General
Maths-
The sides of a triangle are 22 cm, 28 cm and 36 cm. So the area of the circumscribed circle is -
The sides of a triangle are 22 cm, 28 cm and 36 cm. So the area of the circumscribed circle is -
Maths-General
Maths-
The area of the circle and the area of a regular polygon of n sides, and of perimeter equal to that of the circle are in the ratio of
The area of the circle and the area of a regular polygon of n sides, and of perimeter equal to that of the circle are in the ratio of
Maths-General
Maths-
If a right-angled ABC of maximum area is inscribed within a circle of radius R, then-
If a right-angled ABC of maximum area is inscribed within a circle of radius R, then-
Maths-General
Physics-
The motion of a particle along a straight line is described by equation :
Where 
is in metre and 
in second. The retardation of the particle when its velocity becomes zero, is
The motion of a particle along a straight line is described by equation :
Where is in metre and in second. The retardation of the particle when its velocity becomes zero, is
Physics-General
Physics-
A ball is thrown vertically upwards with a velocity of 
from the top of a tower of height 30 m. How long will it travel before it hits ground?
A ball is thrown vertically upwards with a velocity of from the top of a tower of height 30 m. How long will it travel before it hits ground?
Physics-General
