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Sum of first n natural number is given by the formula

→ n(n+1) / 2

Here n = 20

So, Sum = 20(21) / 2

⇒ Sum = 210

• 210 is the sum of first 20 natural numbers.

• 20 natural numbers

• Sum of first 20 natural numbers

Given,

Sum of the first 20 natural numbers

• n = 20

We know that

• Sum of first natural = n(n + 1)/2

Where,

• n is natural numbers 20

↦ Sum of natural numbers = n(n + 1)/2

↦ 20(20 + 1) / 2

↦ 20(21)/2

↦ 420/2

↦ 210

Hence,

210 is the sum of first 20 natural numbers.

Given data :

• Mass of the body, m = 100 grams

• Radius of the circle, r = 50 cm

• Angular velocity of the body, ω = 20 rad/sec

Solution : Here, first we have to convert the unit of mass and radius into kg and m respectively.

➜ m = 100 grams = (100/1000) kg = 0.1 kg

➜ r = 50 cm = (50/100) m = 0.5 m

Period of revolution : The time taken by a particle performing uniform circular motion to complete one revolution is called the period of revolution.

Now,

The period revolution of the body (T) :

➜ T = 2π/ω = (2 * 22/7)/20 = (44/7)/20 = 44/(7 * 20) = 44/140 = 0.3142 sec

Linear velocity : Linear velocity is simply the velocity of an object in a straight line, whereas angular velocity is how much an object spins, spins, or turns.

Now,

Linear speed (v) :

➜ v = ωr = 20 * 0.5 = 10 m/s

Centripetal acceleration : The acceleration of a particle performing uniform circular motion is directed toward the centre of the circle it is called the centripetal acceleration.

Now,

Centripetal acceleration :

➜ Centripetal acceleration = ω²r = (20)² * 0.5 = 400 * 0.5 = 200 m/s²

Answer : Therefore, the period of revolution of the body is 0.3142 sec and the linear speed of the body is 10 m/s and centripetal acceleration of the body is 200 m/s².

Answer:

Which one is an alkaline among the following?

(A) Vinegar

(B) Saliva

(C) Ammonia

(D) Acid rain

Ans. -

[tex]Ans⟹ (c) \: Ammonia[/tex]

I hope this might help you with ☺

Answer:

C) Ammonia is the right answer.

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Explanation:

Purchase Book is a daybook in which non-cash purchase transactions are recorded in chronological order. Conversely, a Purchase account is a ledger account wherein all the entries related to purchasing merchandise for the business are recorded, be it cash or credit

Explanation:

1. Purchase Account

• A Purchase account is a nominal account that records all the inventory procured by an organization for selling.

• Not all goods are saleable, a few may call for some next process conversion in order to develop into finished stock.

2. Purchase Book

• The subsidiary book which registers all the credit purchases (excluding assets purchase) is identified as a purchase book.

• All the cash purchases get recorded in the cash book.