Chemistry-
General
Easy

Question

The correct order of decreasing basicity of the following compounds is:
I)
II)
III)
IV)

  1. I>II>III>IV    
  2. II>I>III>IV    
  3. III>IV>I>II    
  4. II>I.IV>III    

The correct answer is: III>IV>I>II

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Phenol . gives two polymers on condensation with formaldehyde:

X and Y are :

Phenol . gives two polymers on condensation with formaldehyde:

X and Y are :

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X and Yare:

X and Yare:

Chemistry-General
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General
Maths-

Simplify : 2m-3 =17

Simplify : 2m-3 =17

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In the figure is shown Young’s double slit experiment. Q is the position of the first bright fringe on the right side of O. P is the 11th fringe on the other side, as measured from Q. If the wavelength of the light used is 6000 cross times 1 0 to the power of negative 10 end exponent m, then S subscript 1 end subscript B will be equal to

In the figure is shown Young’s double slit experiment. Q is the position of the first bright fringe on the right side of O. P is the 11th fringe on the other side, as measured from Q. If the wavelength of the light used is 6000 cross times 1 0 to the power of negative 10 end exponent m, then S subscript 1 end subscript B will be equal to

Physics-General
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When one of the slits of Young’s experiment is covered with a transparent sheet of thickness 4.8 mm, the central fringe shifts to a position originally occupied by the 30th bright fringe. What should be the thickness of the sheet if the central fringe has to shift to the position occupied by 20th bright fringe

When one of the slits of Young’s experiment is covered with a transparent sheet of thickness 4.8 mm, the central fringe shifts to a position originally occupied by the 30th bright fringe. What should be the thickness of the sheet if the central fringe has to shift to the position occupied by 20th bright fringe

Physics-General
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General
Physics-

Figure here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20 m. The separation PQ is 5.0 m and phase of P is ahead of the phase of Q by 90o. A, B and C are three distant points of observation equidistant from the mid-point of PQ. The intensity of radiations at A, B, C will bear the ratio

Figure here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20 m. The separation PQ is 5.0 m and phase of P is ahead of the phase of Q by 90o. A, B and C are three distant points of observation equidistant from the mid-point of PQ. The intensity of radiations at A, B, C will bear the ratio

Physics-General
General
Maths-

Represent -7 + 3 on number line

When we add something to the given number, we don’t start counting the second number from zero. We count the places from the number itself. Any negative value means we move in left direction. Any positive value means we move in right direction.

Represent -7 + 3 on number line

Maths-General

When we add something to the given number, we don’t start counting the second number from zero. We count the places from the number itself. Any negative value means we move in left direction. Any positive value means we move in right direction.

General
Maths-

Statement-I: integral subscript blank superscript blank fraction numerator 1 over denominator 4 plus 5 s i n x end fraction d x equals 1 third l o g vertical line fraction numerator 2 t a n left parenthesis x divided by 2 right parenthesis plus 1 over denominator 2 t a n left parenthesis x divided by 2 right parenthesis plus 4 end fraction vertical line plus c
Statement-II: If 0<a<b, then integral subscript blank superscript blank fraction numerator d x over denominator a plus b s i n x end fraction equals fraction numerator 1 over denominator square root of b squared minus a squared end root end fraction l o g vertical line fraction numerator a t a n left parenthesis x divided by 2 right parenthesis plus b minus square root of b squared minus a squared end root over denominator a t a n left parenthesis x divided by 2 right parenthesis plus b plus square root of b squared minus a squared end root end fraction vertical line plus c

Statement-I: integral subscript blank superscript blank fraction numerator 1 over denominator 4 plus 5 s i n x end fraction d x equals 1 third l o g vertical line fraction numerator 2 t a n left parenthesis x divided by 2 right parenthesis plus 1 over denominator 2 t a n left parenthesis x divided by 2 right parenthesis plus 4 end fraction vertical line plus c
Statement-II: If 0<a<b, then integral subscript blank superscript blank fraction numerator d x over denominator a plus b s i n x end fraction equals fraction numerator 1 over denominator square root of b squared minus a squared end root end fraction l o g vertical line fraction numerator a t a n left parenthesis x divided by 2 right parenthesis plus b minus square root of b squared minus a squared end root over denominator a t a n left parenthesis x divided by 2 right parenthesis plus b plus square root of b squared minus a squared end root end fraction vertical line plus c

Maths-General
parallel
General
Maths-

Statement-I: integral subscript blank superscript blank fraction numerator 1 over denominator 5 plus 4 c o s x end fraction d x equals 2 over 3 t a n to the power of negative 1 end exponent left parenthesis fraction numerator 4 plus 5 t a n left parenthesis x divided by 2 right parenthesis over denominator 3 end fraction right parenthesis plus c
Statement-II: If a>0, a>b, then integral subscript blank superscript blank fraction numerator d x over denominator a plus b s i n x end fraction equals fraction numerator 2 over denominator square root of a squared minus b squared end root end fraction t a n to the power of negative 1 end exponent left parenthesis fraction numerator b plus a t a n left parenthesis x divided by 2 right parenthesis over denominator square root of a squared minus b squared end root end fraction right parenthesis plus c

Statement-I: integral subscript blank superscript blank fraction numerator 1 over denominator 5 plus 4 c o s x end fraction d x equals 2 over 3 t a n to the power of negative 1 end exponent left parenthesis fraction numerator 4 plus 5 t a n left parenthesis x divided by 2 right parenthesis over denominator 3 end fraction right parenthesis plus c
Statement-II: If a>0, a>b, then integral subscript blank superscript blank fraction numerator d x over denominator a plus b s i n x end fraction equals fraction numerator 2 over denominator square root of a squared minus b squared end root end fraction t a n to the power of negative 1 end exponent left parenthesis fraction numerator b plus a t a n left parenthesis x divided by 2 right parenthesis over denominator square root of a squared minus b squared end root end fraction right parenthesis plus c

Maths-General
General
Maths-

Statement-I: integral subscript blank superscript blank fraction numerator 1 over denominator 3 plus 2 c o s x end fraction d x equals fraction numerator 2 over denominator square root of 5 end fraction t a n to the power of negative 1 end exponent left parenthesis fraction numerator 1 over denominator square root of 5 end fraction t a n x over 2 right parenthesis plus c
Statement-II: If a>b then integral subscript blank superscript blank fraction numerator d x over denominator a plus b c o s x end fraction equals fraction numerator 2 over denominator square root of a squared minus b squared end root end fraction t a n to the power of negative 1 end exponent left parenthesis square root of fraction numerator a minus b over denominator a plus b end fraction end root t a n x over 2 right parenthesis plus c

Statement-I: integral subscript blank superscript blank fraction numerator 1 over denominator 3 plus 2 c o s x end fraction d x equals fraction numerator 2 over denominator square root of 5 end fraction t a n to the power of negative 1 end exponent left parenthesis fraction numerator 1 over denominator square root of 5 end fraction t a n x over 2 right parenthesis plus c
Statement-II: If a>b then integral subscript blank superscript blank fraction numerator d x over denominator a plus b c o s x end fraction equals fraction numerator 2 over denominator square root of a squared minus b squared end root end fraction t a n to the power of negative 1 end exponent left parenthesis square root of fraction numerator a minus b over denominator a plus b end fraction end root t a n x over 2 right parenthesis plus c

Maths-General
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Maths-

Statement-I: integral subscript blank superscript blank fraction numerator 1 over denominator 3 plus 4 c o s x end fraction d x equals fraction numerator 1 over denominator square root of 7 end fraction l o g vertical line fraction numerator square root of 7 plus t a n left parenthesis x divided by 2 right parenthesis over denominator square root of 7 minus t a n left parenthesis x divided by 2 right parenthesis end fraction vertical line plus c
Statement-II: If a<b then integral subscript blank superscript blank fraction numerator d x over denominator a plus b c o s x end fraction equals fraction numerator 1 over denominator square root of b squared minus a squared end root end fraction l o g vertical line fraction numerator square root of b plus a end root plus square root of b minus a end root t a n left parenthesis x divided by 2 right parenthesis over denominator square root of b plus a end root minus square root of b minus a end root t a n left parenthesis x divided by 2 right parenthesis end fraction vertical line plus c

Statement-I: integral subscript blank superscript blank fraction numerator 1 over denominator 3 plus 4 c o s x end fraction d x equals fraction numerator 1 over denominator square root of 7 end fraction l o g vertical line fraction numerator square root of 7 plus t a n left parenthesis x divided by 2 right parenthesis over denominator square root of 7 minus t a n left parenthesis x divided by 2 right parenthesis end fraction vertical line plus c
Statement-II: If a<b then integral subscript blank superscript blank fraction numerator d x over denominator a plus b c o s x end fraction equals fraction numerator 1 over denominator square root of b squared minus a squared end root end fraction l o g vertical line fraction numerator square root of b plus a end root plus square root of b minus a end root t a n left parenthesis x divided by 2 right parenthesis over denominator square root of b plus a end root minus square root of b minus a end root t a n left parenthesis x divided by 2 right parenthesis end fraction vertical line plus c

Maths-General
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I: integral subscript blank superscript blank fraction numerator 1 over denominator 3 plus 4 c o s x end fraction d x equals fraction numerator 1 over denominator square root of 7 end fraction l o g left square bracket fraction numerator square root of 7 plus t a n left parenthesis x divided by 2 right parenthesis over denominator square root of 7 minus t a n left parenthesis x divided by 2 right parenthesis end fraction right square bracket plus c
II: integral subscript blank superscript blank fraction numerator d x over denominator c o s x minus s i n x end fraction equals fraction numerator 1 over denominator square root of 2 end fraction l o g vertical line t a n left parenthesis x over 2 plus fraction numerator 3 pi over denominator 8 end fraction right parenthesis vertical line plus c Which of the following is true

I: integral subscript blank superscript blank fraction numerator 1 over denominator 3 plus 4 c o s x end fraction d x equals fraction numerator 1 over denominator square root of 7 end fraction l o g left square bracket fraction numerator square root of 7 plus t a n left parenthesis x divided by 2 right parenthesis over denominator square root of 7 minus t a n left parenthesis x divided by 2 right parenthesis end fraction right square bracket plus c
II: integral subscript blank superscript blank fraction numerator d x over denominator c o s x minus s i n x end fraction equals fraction numerator 1 over denominator square root of 2 end fraction l o g vertical line t a n left parenthesis x over 2 plus fraction numerator 3 pi over denominator 8 end fraction right parenthesis vertical line plus c Which of the following is true

Maths-General
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I:not stretchy integral subscript blank superscript blank fraction numerator left parenthesis 1 plus x right parenthesis e to the power of x end exponent over denominator s e c to the power of 2 end exponent left parenthesis x e to the power of x end exponent right parenthesis end fraction d x equals blank l o g blank vertical line t a n fraction numerator x over denominator 2 end fraction vertical line plus s e c x plus C
II:integral subscript blank superscript blank fraction numerator s e c x over denominator left parenthesis s e c x plus t a n x right parenthesis squared end fraction d x equals fraction numerator 1 over denominator 2 left parenthesis s e c x plus t a n x right parenthesis squared end fraction plus c Which of the following is true

I:not stretchy integral subscript blank superscript blank fraction numerator left parenthesis 1 plus x right parenthesis e to the power of x end exponent over denominator s e c to the power of 2 end exponent left parenthesis x e to the power of x end exponent right parenthesis end fraction d x equals blank l o g blank vertical line t a n fraction numerator x over denominator 2 end fraction vertical line plus s e c x plus C
II:integral subscript blank superscript blank fraction numerator s e c x over denominator left parenthesis s e c x plus t a n x right parenthesis squared end fraction d x equals fraction numerator 1 over denominator 2 left parenthesis s e c x plus t a n x right parenthesis squared end fraction plus c Which of the following is true

Maths-General
General
Maths-

I:not stretchy integral subscript blank superscript blank fraction numerator 1 over denominator 1 plus c o s 2 x end fraction d x equals fraction numerator 1 over denominator 2 end fraction t a n x plus C
IIcolon integral subscript blank superscript blank fraction numerator 1 plus s i n to the power of 2 subscript chi end exponent over denominator 1 plus c o s 2 x end fraction d x equals t a n x minus 1 half x plus c Which of the following is true

I:not stretchy integral subscript blank superscript blank fraction numerator 1 over denominator 1 plus c o s 2 x end fraction d x equals fraction numerator 1 over denominator 2 end fraction t a n x plus C
IIcolon integral subscript blank superscript blank fraction numerator 1 plus s i n to the power of 2 subscript chi end exponent over denominator 1 plus c o s 2 x end fraction d x equals t a n x minus 1 half x plus c Which of the following is true

Maths-General
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