Answer:
γ = 0.06563 N / m
9.78% difference
Explanation:
Solution:-
- Surface tension is the ability of any fluid to resist any external force which causes a decreases in surface area of the impact area due to inward compressive forces. These compressive forces occur due to cohesive nature of the fluid molecules.
- Mathematically, surface tension ( γ ) is defined as the force felt per unit length by the fluid.
γ = F / L
Where,
F: Force imparted
L: The length over which force is felt
- We are given the mass ( M ) of ( n = 100 ) water droplets to e 3.78 g. The mass of a single droplet ( m ) can be evaluated as follows:
m = M / n
m = 3.78 / 100
m = 0.0378 g
- The force ( F ) imparted by a single drop of water from the burette can be determined from the force balance on a single droplet. Assuming the distance over which the drop falls is negligible and resistive forces are negligible. Then the only force acting on the droplet is due to gravity:
F = m*g
F = 0.0378*9.81*10^-3
F = 0.000370818 N
- The length over which the force is felt can be magnified into a circular area with diameter equal to that of a single droplet ( d ). The circumferential length ( L ) of the droplet would be as follows:
L = π*d
L = π*( 0.0018 )
L = 0.00565 m
- Then the surface tension would be:
γ = F / L
γ = 0.000370818 / 0.00565
γ = 0.06563 N / m
- The tabulated value of water's surface tension is given as follows:
γa = 0.07275 N/m
- We will determine the percentage difference between the value evaluated and tabulated value as follows:

- The %difference between is within the allowable practical limits of 10%. Hence, the evaluated value ( γ = 0.06563 N / m ) can be accepted with 9.78% error.
Concept: The magnification of spherical mirror can be defined by two ways.
(i) In terms of the height of the object and image.
The magnification of the spherical mirror is defined as the ratio of the height of the image'
' to the height of the object '
'. It is denoted by letter 'm'.
Mathematically, it can be written as

(ii) In terms of the object's and image's distances.
The magnification of the spherical mirror is defined as the negative ratio of the image distance'
' to the object distance '
'.
Mathematically, it can be written as

Now, from equation (1) and (2) we have,

Given: Spherical Concave Mirror,
We will consider positive sign for object's and image's distance because both are in front of the mirror.
Object distance
.
Image distance 
Object's height 
Image's height 
Now, apply equation (3)


Or, hi = - 8 mm
Here; negative sign means, the image will be inverted.
The image's height will be 8 mm.
Answer:
The speed of disk is 1.98 
Explanation:
Given:
Mass of
kg
Spring constant 
Compression of spring
m
From energy conservation theorem,
Spring potential energy converted into kinetic energy,




Therefore, the speed of disk is 1.98 