Question Discussion & Solution

Concept:

• The laws dealing with ideal gases naturally called ideal gas laws, and the laws determined in the seventeenth century by Boyle's observational work and in the eighteenth century by Charles.
• The Boyles Law states that the gas pressure is inversely proportional to the gas volume for a given mass of gas stored at a constant temperature.
• Charles Law states that the gas volume is directly proportional to the gas temperature for a given fixed mass of gas stored at a constant pressure. 
• An ideal gas is a gas that follows the equation:

PV = nRT at all temperatures and pressure, where P = Pressure of the ideal gas. V = Volume of the ideal gas n = Amount of ideal gas measured in terms of moles 

R = Universal gas constant T = Temperature

Mole Concept -

•  The quantity one mole of a substance signifies 6.022 × 1023 number of particles of that substance which may be atoms, molecules, or ions.
• The quantity is a universal constant like Dozen, Gross, etc., and is known as Avogadro number, denoted by NA. after the scientist Amedeo Avogadro.
• Examples- In one mole of H2, there are 6.022 × 1023 molecules of hydrogen, and the number of atoms is 2 × 6.022 × 1023, as one molecule of hydrogen contains two-atom each.
• The mass of one mole of a substance is called its Molar Mass (M) or Atomic mass expressed in grams.
• The volume occupied by a mole of gas is 22.4 L at NTP, called its Molar Volume.
• The no. of moles (n) is calculated as =

The number of particles / Avogadro’s number.

To summarise, we can say, 

Calculation:

• The molar mass of 1 mole of H₂SO₄ is =

2 × 1 + 32 + 4 × 16 = 98g

• The molar mass of 1 mole of Silver, Ag is its molecular mass 108g.
• The molar mass of CO₂ is = 12 + 2× 16 = 44g.
• 44g of CO₂ means one mole.
• 1 mole of Oxygen weighs 16 + 16 = 32g.
• Hence, the highest mass is of 1 mole of Ag.

In this question shows that Lotus, Rose and Lily are kind of flower. So Marigold is also kind of flower but apple is the fruit, Red is color and flower is flower.

So most closely word is Marigold.

Hence, option 2 is the correct answer.

In alphabet group there is difference of five except ‘QU’

E + 5 → J

O + 5 → T

Q + 4 → U

 M + 5 → R

All except Yosemite National Park are in India. Yosemite National Park is in USA.

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.