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Directions to Solve

In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.

Q1: A child born after death of his father

A Posthumous

B Orphan

C Bastard

D Progenitor

Q2: Which of the following statement is correct about the program given below?

#include<iostream.h> 
int main()
{
    int x = 0;
    int &y = x; y = 5; 
    while(x <= 5)
    {
        cout<< y++ << ' ';
        x++;
    }
    cout<< x; 
    return 0; 
}

A The program will print the output 5 6 7 8 9 10 7.

B The program will print the output 5 7.

C It will result in a compile time error.

D The program will print the output 5 6 7 8 9 10.

Q3: An internal focussing type surveying telescope, may be focussed by the movement of

A plano-convex lens in the telescope.

B objective glass of the telescope

C convex-lens in the telescope

D concave lens in the telescope

Q4: Current through a charging capacitor exhibits

A an exponential growth function

B an exponential decay function

C a linear decay function

D a step decay function

Q5: To produce high-quality graphics (hardcopy) in color, you would want to use a(n)

A ink-jet printer

B RGB monitor

C laser printer

D plotter

E All of the above

Q6: Ratio of inertial forces to surface tension forces is called the __________ number.

A Euler

B Weber

C Mach

D Froude

ANS:D - Weber

The ratio of inertial forces to surface tension forces is called the Weber number. Here’s an explanation of each term:

Euler number: This term is not typically associated with the ratio of inertial forces to surface tension forces. The Euler number usually refers to different concepts in fluid dynamics, such as the Euler equation or Euler's number in mathematical contexts.
Froude number: This number relates inertial forces to gravitational forces and is used to determine the type of flow (subcritical, critical, or supercritical) in open-channel flow and similar applications. It is defined as Fr=VgL\text{Fr} = \frac{V}{\sqrt{gL}}Fr=gLV, where VVV is the velocity of the flow, ggg is the acceleration due to gravity, and LLL is a characteristic length.
Mach number: This number compares the flow velocity to the speed of sound in the fluid medium and is crucial in aerodynamics and compressible flow. It is defined as Ma=Va\text{Ma} = \frac{V}{a}Ma=aV, where VVV is the flow velocity and aaa is the speed of sound.
Weber number: The Weber number (We) compares the inertial forces (due to flow) to the surface tension forces in a fluid system. It is defined as We=ρV2Lσ\text{We} = \frac{\rho V^2 L}{\sigma}We=σρV2L, where ρ\rhoρ is the density of the fluid, VVV is the characteristic velocity, LLL is the characteristic length, and σ\sigmaσ is the surface tension of the fluid.

Therefore, the correct answer to the question regarding the ratio of inertial forces to surface tension forces is the Weber number. The Weber number (We) is a dimensionless number that compares the inertial forces of a fluid flow to the surface tension forces present at the interface of the fluid.

Definition and Formula:

The Weber number is defined as: We=ρV2Lσ\text{We} = \frac{\rho V^2 L}{\sigma}We=σρV2L where:

ρ\rhoρ is the density of the fluid,
VVV is the characteristic velocity of the flow,
LLL is a characteristic length scale (such as the diameter of a droplet or the width of a liquid jet),
σ\sigmaσ is the surface tension of the fluid.

Interpretation:

Inertial Forces vs. Surface Tension Forces: The Weber number quantifies the balance between the kinetic energy (inertial forces) of the flow and the cohesive forces (surface tension) that tend to minimize the surface area of the fluid.
Flow Regimes:
- We < 1: In this regime, surface tension forces dominate over inertial forces. Fluid behavior is more influenced by surface tension, and small droplets or thin films tend to form stable shapes.
- We > 1: Here, inertial forces dominate over surface tension forces. The fluid tends to overcome surface tension effects, leading to breakup or atomization of droplets, splashing, or jet formation.
Applications:
- Fluid Dynamics: Used in fluid mechanics to understand the breakup of droplets, behavior of liquid jets, and splash dynamics.
- Industrial Processes: Relevant in industries such as spray drying, inkjet printing, fuel injection in engines, and chemical processes involving mixing and dispersion of fluids.
- Natural Phenomena: Applies to phenomena like raindrop formation, wave breaking, and atomization in ocean spray.
Limitations: The Weber number assumes incompressible, Newtonian fluids with constant properties. It may not accurately represent fluid behavior in cases involving highly viscous fluids or non-Newtonian fluids.

In summary, the Weber number is a fundamental parameter in fluid dynamics that characterizes the competition between inertial forces and surface tension forces, influencing the behavior of fluids in a variety of natural and industrial processes.

Q7: Which edition of the Khelo India Fencing Women's League will beÂ started?

A 3rd

B 4th

C 1st

D 2nd

Q8: The 'Ayurveda Aahar' logo has been launched by whom on the occasion of World Food Safety Day?

A Narendra Modi

B Mansukh Mandaviya

C Smriti Irani

D Baba Ramdev

Q9: Union Finance Minister, Nirmala Sitharaman has inaugurated the National Museum of Customs and GST "Dharohar" at which place?

A New Delhi, Delhi

B Panaji, Goa

C Kolkata, West Bengal

D Mumbai, Maharashtra

Q10: Who has inaugurated Sant Kabir Academy and Research Centre and Swadesh Darshan Yojana at Kabir Chaura Dham, Maghar, and Uttar Pradesh?

A Narendra Modi

B Amit Shah

C Ram Nath Kovind

D Yogi Adityanath

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Q1: A child born after death of his father

Q2: Which of the following statement is correct about the program given below?
`#include<iostream.h> int main() { int x = 0; int &y = x; y = 5; while(x <= 5) { cout<< y++ << ' '; x++; } cout<< x; return 0; }`

Q3: An internal focussing type surveying telescope, may be focussed by the movement of

Q4: Current through a charging capacitor exhibits

Q5: To produce high-quality graphics (hardcopy) in color, you would want to use a(n)

Q6: Ratio of inertial forces to surface tension forces is called the __________ number.

Definition and Formula:

Interpretation:

Q7: Which edition of the Khelo India Fencing Women's League will beÂ started?

Q8: The 'Ayurveda Aahar' logo has been launched by whom on the occasion of World Food Safety Day?

Q9: Union Finance Minister, Nirmala Sitharaman has inaugurated the National Museum of Customs and GST "Dharohar" at which place?

Q10: Who has inaugurated Sant Kabir Academy and Research Centre and Swadesh Darshan Yojana at Kabir Chaura Dham, Maghar, and Uttar Pradesh?

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Q1: A child born after death of his father

Solution

Q2: Which of the following statement is correct about the program given below? #include<iostream.h> int main() { int x = 0; int &y = x; y = 5; while(x <= 5) { cout<< y++ << ' '; x++; } cout<< x; return 0; }

Solution

Q3: An internal focussing type surveying telescope, may be focussed by the movement of

Solution

Q4: Current through a charging capacitor exhibits

Solution

Q5: To produce high-quality graphics (hardcopy) in color, you would want to use a(n)

Solution

Q6: Ratio of inertial forces to surface tension forces is called the __________ number.

Solution

Definition and Formula:

Interpretation:

Q7: Which edition of the Khelo India Fencing Women's League will beÂ started?

Solution

Q8: The 'Ayurveda Aahar' logo has been launched by whom on the occasion of World Food Safety Day?

Solution

Q9: Union Finance Minister, Nirmala Sitharaman has inaugurated the National Museum of Customs and GST "Dharohar" at which place?

Solution

Q10: Who has inaugurated Sant Kabir Academy and Research Centre and Swadesh Darshan Yojana at Kabir Chaura Dham, Maghar, and Uttar Pradesh?

Solution

Q2: Which of the following statement is correct about the program given below?
`#include<iostream.h> int main() { int x = 0; int &y = x; y = 5; while(x <= 5) { cout<< y++ << ' '; x++; } cout<< x; return 0; }`