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Lesson Posted on 23 Jul CBSE/Class 11/Science/Biology/Unit 2: Structural Organisation in Animals and Plants/Chapter 5- Morphology of Flowering Plants

How Noise Pollution Affects the Human Body

Akanksha Shukla

Hello students! i am a pgt teacher working from last 5 years in education field by providing tutions...

Following are the three ways by which noise pollution affects the human body adversely: Physical effect- Physical effects of noise pollution are direct effects on a person's health, such as hearing loss or tinnitus. Most experts agree that exposure to sound more than 85db for hours is potentially dangerous.... read more

Following are the three ways by which noise pollution affects the human body adversely:

Physical effect- Physical effects of noise pollution are direct effects on a person's health, such as hearing loss or tinnitus. Most experts agree that exposure to sound more than 85db for hours is potentially dangerous. 

Physiological effect- Physiological effects of noise pollution adversely affects health, such as heightened blood pressure and stress. Research has shown that industrial workers regularly exposed to high noise levels have higher cases of nausea, headaches, argumentative and change in mood and anxiety. 

Psychological effect- Psychological effects of noise pollution are distractions and annoyances, which are just as disruptive as physical and physiological effects on productivity. Works productivity can be switched off depending on the length of the time exposed. 

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Lesson Posted on 22 Jul CBSE/Class 10/Mathematics CBSE/Class 11/Science/Mathematics/Unit-V: Mathematical Reasoning CBSE/Class 11/Science/Mathematics/Unit-V: Mathematical Reasoning/Mathematical Reasoning

Number Theory

Shreyan Saha

I am a Bsc Mathematics 1st year student at Jadavpur, Kolkata. I am giving online tuitions for the past...

In number theory, we deal only with integers and their properties. Many of you may have heard about this branch of mathematics but may not know much about it. Here I am going to introduce you to some of the basic concepts of this branch of mathematics. So, let's begin :) One of the primary concepts... read more

In number theory, we deal only with integers and their properties. Many of you may have heard about this branch of mathematics but may not know much about it. Here I am going to introduce you to some of the basic concepts of this branch of mathematics. So, let's begin :)

One of the primary concepts essential for learning number theory is the divisibility of integers. The first of this list is Euclid's division algorithm which states that:

Given integers a and b with b>0, there exist unique integers q and r such that a=qb+r.

Well, this is what we have learnt while learning division—considering an integer a and an integer b if we divide a by b. we get a quotient and a remainder. In the above theorem, q is the quotient and r is the remainder. But the exciting thing is that such a representation of an integer is always unique, which is quite apparent. 

Let's see how can we use this property to solve some interesting problems. But before that, you all must be knowing that an even integer N can be written as N=2k where k is also an integer. If N is odd, it can be represented as N=2k+1.

Problem 1: For n≥1 establish that the integer M=n(7n+5) is divisible by6, where n is an integer.

Solution: What do you think? Isn't it interesting that a number of this form will always be divisible by 6 irrespective of what value we put in place of n, if we place 1, it's true, same for 2, same for any n? But seeing the form, you cannot tell that the number will be divisible by 6.

So, let's see how we can approach the problem.

M=n(7n+5) =n(6n+ n+6-1)=6n+ n+6n -n = (6n3+ 6n) + (n-n). Let me tell you how this helps. We needed to prove that that M is divisible by 6. So, I decided to take out those terms which have 6 as a factor. Quite clearly  (6n3+ 6n)  will be divisible by 6. We just need to prove that (n-n)  will be divisible by 6. 

Let's factorise (n-n). (n-n)=n(n+1)(n-1) . Now suppose we have a number and we divide it by 3, the possible remainders are 0,1 and 2. So we can write any integer in the following forms: 3k,3k+1,3k+2  where k is an integer. Let's see what happens if we replace n with these forms.

If n=3k. So, (n-n)=3k(3k+1)(3k-1). So, (n-n) is divisible by 3.

If n=3k+1, (n-n)=(3k+1)(3k+2)3k. So, (n-n) is divisible by 3.

If n=3k+2, (n-n)=(3k+2)(3k+3)(3k+1)=3(3k+2)(k+1)(3k+3) NOTE: HERE WE TOOK 3 COOMON FROM 3K+3. WE WROTE 3K+3=3*(k+1).  So, (n-n) is divisible by 3.

So, for all integers,  (n-n) is divisible by 3.

We also know that an integer is either odd or even. So, n-2k if n is even or n=2k+1 if n is odd.

If n is even, (n-n)=2k(2k+1)(2k-1) .So, (n-n) is divisible by 2.

If n is odd, (n-n)=2k+1(2k+2)2k. So, (n-n) is divisible by 2.

So, (n-n)  is divisible by both 2 and 3. So, (n-n)  is divisible by 2*3=6.

Hence, we have proved that M is divisible by 6.

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Lesson Posted on 21 Jul CBSE/Class 11/Science/Physics

The resisting force- friction

Ravi

I have been working as a physics lecturer for 9 years.. I can deal +1,+2 ipe and upto JEE MAINS,NEET....

https://youtu.be/XSnXG49QXO4
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Lesson Posted on 15 Jul CBSE/Class 11/Science/Chemistry

Inert Pair Effect

Rupesh D.

Proven record of academic and teaching excellence. B.Tech from IIT with seven year experience in teaching...

On moving down in a group in p-block the higher valency becomes less stable and lower valencies become more stable. For example: Stability : C+4 > Si+4 > Ge+4 > Sn+4 > Pb+4 C+2 < Si+2 < Ge+2 < Sn+2 < Pb+2 Carbon tetrabromide CBr4 is stable and exits while PbBr4... read more

On moving down in a group in p-block the higher valency becomes less stable and lower valencies become more stable. For example:

Stability : C+4 > Si+4 > Ge+4 > Sn+4 > Pb+4

               C+2 < Si+2 < Ge+2 < Sn+2 < Pb+2

Carbon tetrabromide CBr4 is stable and exits while PbBr4 does not exits.

It is due increasing tendency of s-electron becoming inert in heavier elements (down the group). This reluctant of both s-electrons to take part in bonding is called the inert pair effect. This effect is especially seen in 13th and 14th group elements of the periodic table.

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Answered on 19 Jun CBSE/Class 11/Science/Physics

Aman Garg

Teaching is my passion.contact 9821323728.to know how much I am passionate about it.

There are three dimensions, and one a time that also taken as a reference one.
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Answered on 16 Jun CBSE/Class 11/Science/Physics

Anusuya Padhi

Physics lecture with 8 years teaching experience

Newton's second law tells about inertia and definition of force. Force is the cause of every motion. While Newton's 2nd law gives the mathematical expression for force, so Newton's 2nd law can be used to state Newton's first law.
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Answered on 27 May CBSE/Class 11/Science/Physics

Rahul Srivastava

Your choice , your decision i will try only to shape your enthusiasm"Where you can do study online"

Duality
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Answered on 03 Jun CBSE/Class 11/Science/Physics

Vijay Kumar

IITJEE Mains and Advanced PHYSICS 8 years experience.

It is a fundamental postulate of Einstein's particular theory of relativity. We found no evidence opposing this until now. It is confirmed later in many experiments.
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Answered on 25 Jun CBSE/Class 11/Science/Mathematics/Unit-V: Mathematical Reasoning/Mathematical Reasoning

Alok Kumar Dwivedi

PHYSICS for JEE/NEET,CBSE,NCERT,GUJARATI boards.Complete H C Verma Volume 1&2 with unsolved problems

time =(Distance has to travel/ speed) = ((50+150)/5 = 200/5 = 40 minutes
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