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Limitations of Coulomb's law :

(i) This law is true for only point charges but we can use this for spread out charges.

(ii) This law holds for only constant charges. For moving charges we can get force by other laws. 

(iii) This law does not hold for the distance below 10^-14 m. It is hold for the distance between many km to 10^-4 m.

Acid → Accept a pair of electron

Base → Donate a pair of electron

C₄H₁₀(g) + 13/2O₂(g) → 4CO₂(g) + 5H₂O(g)  Δ_cH = -2658.0 KJ

(a) Aspartic acid + Asparagine synthetase → asparagine

Glutamic acid + Glutamine synthetase → Glutamine

(b) Nitrogen

#include<stdio.h>  
 int main()    
{    
int n,r,sum=0,temp;    
printf("enter the number=");    
scanf("%d",&n);    
temp=n;    
while(n>0)    
{    
r=n%10;    
sum=sum+(r*r*r);    
n=n/10;    
}    
if(temp==sum)    
printf("armstrong  number ");    
else    
printf("not armstrong number");    
return 0;  
}   

So, always stay motivated in life without losing hope. When you stay motivated each day, it'll push you closer to your goals. Learn to remain calm when you go through any hard day. It's an excellent habit and must be applied in life.So, always stay motivated in life without losing hope. When you stay motivated each day, it'll push you closer to your goals. Learn to remain calm when you go through any hard day.

Correct option is B) freedom

Correct option is A) weighs

Correct option is C) safety

Correct option is A) she came in

(i) 1. of 

2. to

(ii) 1. on 

2. to 

3. to

(iii) 1. in 

2. at 

3. by 

4. by

1. a) always b) first c) win d) small

2. a) bad b) timid c) refuse d) unskillful

3. a) new b) correct c) lowest d) disrespect

4. a) humble b) calm c) comforted d) defeats

5. a) accept b) agreed c) sadly d) loudly

6. a) similarity b) illegitimate c) displeased d) enemy

7. a) timid b) displeased

1. a) weakness b) hero; brave c) unreal d) cowardice/timidity 

2. a) despaired b) youth c) earlier d) continued 

3. a) proudly b) displease c) lightly d) respectable 

4. a) Lie down b) continued c) led d) clean 

5. a) calm b) dislike c) kindness d) blessed 

6. a) declined b) noise c) slower d) forgot 

7. a) easy b) remain c) shut d)hope 

8. a) Initially b) closed c) absence d) silence 

9. a) criticism b) humiliation c) false d) famous

1. for 

2. out 

3. of 

4. in 

5. through 

6. through 

7. of 

8. to 

9. from

1. (a) meagre

2. (d) solution

3. (c) tensed

4. (d) insignificantly

5. (d) optional

6. (b) unlucky

7. (d) friend

8. (b) appeared

9.  (d) disbelief

10. (c) same,/similar

11. (c) condemned

13. (d) modern

14. (a) convinced

15. (b) losing

16. (d) cheap

17 (b) forgettable

18. (b) pessimistic

19. (d) refused

20. (d) professional

21. (d) insignificant

22. (c) excluded

23. (a) distribute

24. (d) depart

25. (c) superior

(i) 1. from 

2. at 

3. to

(ii) 1. among 

2. at 

3. to 

4. with

5. for

1. (c) journey

2. (a) disappointed

3. (b) obtain

4. (d) huge

5. (c) mandatory

6. (b) lucky

7. (d) enemy

8. (d) imprinted

9. (b) disappeared

10. (b) invincible

11. (b) hunger

12. (c) sad

13. (d) appreciated

14. (b) assurance

15. (b) adapted

16. (c) intricate

17. (b) satisfy

18. (a) congratulatory

19. (d) appetite

20. (b) collection

21. (c) guess

22. (d) magnificent

23. (c) unusually

24. (b) named

25. (b) tasteless

Commuter is a person travels to work place daily.

1. of 

2. at 

3. about 

4. off 

5. in 

6. of

7. with 

8. around 

9. of 

10. from 

11. in

Twinkling star.

We will set sail for India next week. We should know the sale of goods.

After he had completed the work, he went home.

Don Anselmo wore the same faded cutaway, carried the same stick and was accompanied by the boy again.

One day, I saw a boy who was (be+crying). I called him but he did not respond me.

The omitted words  are:

(a) was a euphoric
(b) Mumbai on Saturday
(c) The UNESCO or Victorian and art
(d) Gallery a world

(sin² A + cos² A)² = 1²

sin⁴ A + 2sin²A cos² A +cos⁴ A = 1

You need to isolate the sum sin⁴ A + cos⁴  A to the left side such that:

sin⁴ A + cos⁴ A = 1 - 2sin²A cos² A

You need to raise to square both sides such that:

(sin⁴ A + cos⁴ A) = (1 - 2sin²A cos² A)²

sin⁸ A + 2sin⁴ Acos⁴ A + cos⁸ A = 1 - 4sin²A cos² A + 4sin⁴ A cos⁴ A

Moving to the right 2sin⁴ Acos⁴ A  yields:

sin⁸ A +cos⁸ A = 1 - 4sin²A cos² A + 4sin⁴ A cos⁴ A - 2sin⁴ Acos⁴  A

sin⁸ A + cos⁸ A = 1 - 4sin²A cos² A + 2sin⁴ A cos⁴ A

Nonessential means that our bodies can produce the amino acid, even if we do not get it from the food we eat. Nonessential amino acids include: alanine, arginine, asparagine, aspartic acid, cysteine, glutamic acid, glutamine, glycine, proline, serine, and tyrosine.

Least composite number is 4 and the least prime number is 2. 

LCM(4,2) : HCF(4,2) = 4:2 = 2:1

(c) Replace ‘maker’ by ‘makers’.

Correct option:

(B) 11/√56

Correct option:

(C) 0.06 

correct option:

(D) 1/3

Domain of sin^-1x is [-1,1]  

Therefore, -1 ≤ log₃(x/3) ≤ 1  

3^-1 ≤ x/3 ≤ 3  

1 ≤ x ≤ 9  

Therefore, the domain of sin^-1[log₃(x/3)] is [1,9]

The ratio between circumference and diameter of circle is  π : 1.

Maximum value of probability is 1.