Question Discussion & Solution

The correct answer is 2 ms^-2

• We know that according to Newton's 2^nd law, 
  • ​Force = Mass × Acceleration
  • or \((\vec F = m \times \vec a)\)
• Here, F = 100 N and Mass = 50 Kg
• So, 100 = 50x a ⇒ a = 100/50 = 2.
• Hence, the acceleration will be 2 ms^-2.

• Force: A force is something that changes the state of rest or motion of a body.
  • It causes the body to start moving if it is at rest or stops if it is in motion or deflects from the initial path.
  • Force is a vector quantity having SI unit Newton (N) and dimension (MLT^-2).
• According to Newton’s Second law of motion
  • The rate of change of momentum of a body is directly proportional to the resulting force acting on a body
  • Mathematically it can be expressed as 
• \(\vec F \propto \frac{{d\vec p}}{{dt}}\;or\;\vec F = m \times a\)

Concept:

​Simple Pendulum:

• A simple pendulum consists of a small metallic ball or a piece of stone suspended from a rigid stand by a thread.
  The metallic ball is called Bob.
• A pendulum swings from one extreme position to another and comes back to the same position, this completes one oscillation. 
• One oscillation can also be defined as the pendulum starting from the mean position, going to one extreme, and coming back to the same mean position. 
• The time duration to compete for one oscillation is called time period and the is reciprocal of time period is frequency. 
• Frequency: The number of oscillations per unit time is called frequency. 

\(frequncy =\frac{Oscillation}{Time}\)

Calculation:

Given that : Frequency = 2 hz and time = 16 sec.

In a sec pendulum completes 2 oscillations per second.

⇒ Oscillations = Frequency × time

⇒ Oscillations = 2×16

⇒ Oscillations = 32

Additional Information

The time period of a simple pendulum depends upon on the length of the string and acceleration due to gravity.

\(T = 2 \pi \sqrt{\frac{l}{g}}\)

l is length, g is acceleration due to gravity. 

Figure 3 is next figure in the series:

The dotted line moves clockwise from corner of the square in clockwise direction.

Hence, 3 is the correct answer.

Concept:

• Food comprises constituents like proteins, carbohydrates, fats and supplementary substances such as minerals, vitamins and water that are vital for life.
• These constituents are known as nutrients. For proper functioning of our body, we need to consume bodybuilding foods (e.g. milk, meat, poultry, fish, eggs, pulses, groundnuts); energy-giving foods (e.g. cereals, sugar, roots, fats and oils); and protective foods (e.g. vegetables, fruits).

Explanation:

• Carbohydrates are the main source of energy for our body.
• Carbohydrates are of two types – simple and complex.
• Simple carbohydrates - These are quick-energy foods, e.g. sugar. Sources of simple carbohydrates are natural fruits, milk and milk products, and vegetables including potatoes and carrots.
• Complex carbohydrates - These are better sources of energy than sugar since they are released slowly. Sources of complex carbohydrates are bread, cereals (rice, wheat, bajra, corn, barley, ragi, sorghum, millets etc.),

Gram is not a source of carbohydrate, it is a source of protein.

Additional Information

Proteins:

• proteins are obtained from the animal as well as vegetable sources. Proteins of animal origin are found in milk, eggs, cheese, fish and meat.
• Proteins from these sources contain all the essential amino acids (EAA) in adequate amounts.
• Vegetable proteins are found in pulses (legumes), cereals, beans, nuts, oilseeds, etc

The correct answer is F2.

Key Points

• F2 function key is used to edit the content of a cell in MS-Excel.
• To enter Edit mode, we can follow any of these steps:
  • Double-click the cell that contains the data that you want to edit.
  • Click the cell that contains the data that you want to edit, and then click anywhere in the formula bar.
  • Click the cell that contains the data that you want to edit, and then press F2.

Additional Information

Some important shortcuts used in MS Excel:

• Ctrl + N Create a new workbook.
• Ctrl + O Open an existing workbook.
• Ctrl + S Save the active workbook.
• F12 Save the active workbook under a new name, displays the Save as dialog box.
• Ctrl + W Close the active workbook.
• Ctrl + C Copy the contents of the selected cells to Clipboard.
• Ctrl + X Cut the contents of the selected cells to Clipboard.
• Ctrl + V Insert the contents of the Clipboard into the selected cell(s).