Chemistry-
General
Easy

Question

In Bohr’s hydrogen atom, the electronic transition emitting light of longest wavelength is:

  1. n =4 to n =3    
  2. n =2 to n =3    
  3. n =3 to n =2    
  4. n =2 to n =1    

The correct answer is: n =4 to n =3

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P1,P2,P3, be the product of perpendiculars from (0,0) to  x y plus x plus y plus 1 equals 0 comma x squared minus y squared plus 2 x plus 1 equals 0 comma 2 x squared plus 3 x y minus 2 y squared plus 3 x plus y plus 1 equals 0  respectively then:

P1 = 1;
P2 = 1 half;
P3 = fraction numerator 1 over denominator square root of 7 end fraction;
>>> Therefore, we can say that P1>P2>P3.

P1,P2,P3, be the product of perpendiculars from (0,0) to  x y plus x plus y plus 1 equals 0 comma x squared minus y squared plus 2 x plus 1 equals 0 comma 2 x squared plus 3 x y minus 2 y squared plus 3 x plus y plus 1 equals 0  respectively then:

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P1 = 1;
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P3 = fraction numerator 1 over denominator square root of 7 end fraction;
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If θ is angle between pair of lines x squared minus 3 x y plus lambda y squared plus 3 x minus 5 y plus 2 equals 0, then cosec squared invisible function application theta equals

>>> lambda = 2.
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>>> cos e c squared theta = 10.

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If the pair of lines a x squared plus 2 h x y plus b y squared plus 2 g x plus 2 f y plus c equals 0 intersect on the x-axis, then 2fgh=

2fgh=bg2+ch2
 

If the pair of lines a x squared plus 2 h x y plus b y squared plus 2 g x plus 2 f y plus c equals 0 intersect on the x-axis, then 2fgh=

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2fgh=bg2+ch2
 

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If the pair of lines a x squared plus 2 h x y plus b y squared plus 2 g x plus 2 f y plus c equals 0 intersect on the x-axis, then ac=

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g squared equals a c

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If the equation x squared plus p y squared plus q y equals a squared represents a pair of perpendicular lines then its point of intersection is

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If the lines x squared plus 2 x y minus 35 y squared minus 4 x plus 44 y minus 12 equals 0 and 5 x plus lambda y minus 8 equals 0 are concurrent then λ

>>> The value of lambda is 2.

If the lines x squared plus 2 x y minus 35 y squared minus 4 x plus 44 y minus 12 equals 0 and 5 x plus lambda y minus 8 equals 0 are concurrent then λ

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>>> The value of lambda is 2.

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The equation of the line concurrent with the pair of lines 3 x y minus 2 y squared minus 7 x plus y plus 3 equals 0 is

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Hence, x=y is the the line that is concurrent with the pair of straight lines.

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If the equation lambda x squared minus 5 x y plus 6 y squared plus x minus 3 y equals 0 represents a pair of straight lines then their point of intersection is

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>>>The point of intersection of the pair of straight lines x2 – 5xy + 6y2 + x – 3y = 0 is (-3, -1)

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The point of intersection of the perpendicular lines a x squared plus 3 x y minus 2 y squared minus 5 x plus 5 y plus c equals 0 is

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The transformed equation of x squared plus y squared equals r squared when the axes are rotated through an angle 36° is

>>> Given equation is x2+y2=r2. After rotation

>>> x=Xcos36Ysin36∘  and  y=Xsin36o+Ycos36

X2(cos236o+sin236o)+Y2(sin236o+cos236o)=r2

  >>>  ⇒X2+Y2=r2

The transformed equation of x squared plus y squared equals r squared when the axes are rotated through an angle 36° is

Maths-General

>>> Given equation is x2+y2=r2. After rotation

>>> x=Xcos36Ysin36∘  and  y=Xsin36o+Ycos36

X2(cos236o+sin236o)+Y2(sin236o+cos236o)=r2

  >>>  ⇒X2+Y2=r2

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When axes rotated an angle of pi over 3 the transformed form of 7 x squared plus 2 square root of 3 x y plus 9 y squared 8 equals 0 is

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