Maths-
General
Easy
Question
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](data:image/png;base64,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)
II:
Which of the following is true
- Only I is true
- Only II is true
- Both I and II true
- Neither I nor II true
The correct answer is: Both I and II true
Related Questions to study
Maths-
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](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT4AAAAqCAYAAAAqCDcJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAZpE86XgAACO9JREFUeNrtXX9kXUkUHs8TFRWiVkVViIiqVY+qiIoqVbEiotSKqlWlqmLFKmtF1IoStdaqWlatqqoQEauiyqqoirWsilVVS/+oqlUlKmpVhOwc77tyM2/m3pl3f82773wckvfuu/fM3DPnnnPmnHOF8AtXJM0JfzEHHpPgqaQj+Lsi6ZGkXsFgMNoSpAz+aAE+V0OKqxmMSprH3z9KOsO3nsFoX5BCqWk+H5A0I2nNEz6PwmpLAhrLlKTbfNsZDP/RLelXSe8kbUpahLuWFDUoPh3uSbokadujeXgKBdgsbkp6KamDRYrB8B8Uj3ojqU/S15LewnVLihuSJmOOaUbxZaUsaezNxiJPwdV9IekzFikGw2+MQpF8Jekg/iYrbV9KCnW4YMV30aDMZvFdGEOSHmuO3Q8r+JOk15JOKN/TvD2RtFfUN0lmWaxKDxe5YniIVbi3VfxfSfHcGxZuXx4W3zMorwAXJN3SHNcBnsPokvS3pDH8f1jSc+U35CIPhP5/BSXIKDds5YrhGbqgRFYyOv9WRm6r629GRH2nNXBJH0ccu6lx179TPlsWHMdjuMkVwyOMQ4lktQuZluLbtqA4/A4XdS3GjQ8rPrJ+P4jdMbsKrMIKiw/DQa4YHuF7KI0LGZ3fF1eXMAWlFpWrp7q6gwYlu8qiw3CQK4ZnWMBCHs3o/PQ0PO6B4iMeFuGWTEQcp25ujGGOGIwkcsXwDGtQIocyOr8P6SyUovNAUqeobzj8FeGSTILnsCL8k8XEC2x7xo+LXLXCeNoKlJ5Bcbis4lU1C7cwS8VHsbmHikCSdXvPcLwugfkF3BmaI0r0po2OYRadtlZ8rnLFis8j7MXkf8j4OlSne8Rw4103KFxA8bolSQc031Gi8YjymalkrQ+fb0EJ5p2j9Z/wbyOlCJ58URSucsWKLxtr+wY8VpJFyq2dhWESi9OY/EcZM9kuTQqyQL+o5xAyT2ZF0S9ac7OJFV9zuCrq6WTDoYfvQXhld2xOcBaTP58Ds5eF322p6OlxyUO+xnO6P63Ak0lRUBec+22g+MqoKF3H9K1IIfXuMi78Mz9EvAk93ETogWKvtFt4Czc7gA9lUtcUnggU86ImFx/B+11JezS/7cRD5n3EGF0WyTUlVBI+D1kDlK4VNN4gt6hX83uyIPbDWiC3aV3Ua7ZbXfFNwwXc0syNEPFlmIFM0v16izlcCrmTaciiy5ioMooqoqpJJ/622KnRZRQLWqRUPXMBf3eFFvW4cqxrmVQayd9hLCg8dcP1DfM+L3bvjgsI7BMswCroGyzM8QSLZMHw+2U8SLrBl+64BSi5O1j4dNwBKIPOFlZ801jfphzauDLMQOmRrF3H8R14SIwmkMUkY/oB7mxizBsWFiN/zBisnn9EYxC96DIplacbUGBh9OE4dYzXDefrSbBIXmosuQnRmH9JVugXmmvrQhxk9WVdhZGl4luFbESFduLKMOfw4IhCUll0GRNtLPanMfEPceFTKd1EJntS8UY0NjWowPXSoagyKZWnCtxW1a3dIxqzBf7V8FqBe9zsIjHNEVnPQ8pnTxQFabp21XDONO+3zaJPYqmfhTU2ZpizuDLM4L7a7JK6yGKzY6rACk8FH3ChLja4CkUNi1LFoDA3j3Apk0rT1VV5MqUANXucq+IbNMydmm6jU3Kmaw+J7Jp25Bnj68GcrygPVZsyzGPCvht5kpI92zHpuiY1/eTeEnZNBBjZgnYldYmvE0K/PV9kmZTKk6mkb0pxa13HaLtIJuDCqnivmbNnltd24clnxRdY3hTLO29xz8KgkMCSxfmTyqLLmOjBlTjuug8Xfcd6p3CMGwTxnib+lLRMKiluKjyNIGSiPlQpHnNIWWzzhjEm2QH8SehLIt8q7vcMFqg6louGMeaxQ55XOgvttp9TLNq4Mkyy0F/GHJOGLG47juNq0kkfwUUfsN4pHJ1QFLWQ0C1j8YaD8WmUSSXFksJTVex+TcEBHDOt/K4LD9layL1fxG9PJFgkt7AgVFBKxS9QwhTXu69R0OpY4j5vRcV3DLKlKiSbMsw1WO1V3L8psdNwJC1ZdBkT3cd18NodsmhHIQNWexVf4qJ3W1hhBLGJTcQn+lt4LPux4CiAS1UuJ3GT94RiHGmUSSXFumjcyBjGQtqElWBqcUZW32scR9bBabiklQSL5DCU57ZoTN2YhiU9A57fid0ZDLqxRH1etOKzRRC7pzDWitA3ILEpwwxep7AFd/miB7LYD521IXbKbRddHlRBH76rovVBC+eKJobD8BufC7cKkKSKIu0XQAXxrQ2xkyB9zgPFx4hAGXP4TNvdpBSzLJejJ+eRkBJ+BLN8Dtdm1K0OqhDqCblgq8KtHZpvioKsIQro7w1Zn6vCPsjPiq8ArGDie0synhNCn9aQR4OE0ZDlQrtbZ0Lf+dj4oAgE5Xi0M0epJg9h8fngGqaJXmHfwIEVX0HW0ceSjKUHCqZP8x19XsuBB3JzKPirFlCb8tcY6Vn0rcrnJ76l+WJA5NeVJY+xLAt9yZNNE9S0QNYMBfY7DK7wURa7tsCQ4PexeIWTYidtYBKKb6wElh65TKbKE5u292ngFB4itDumC6BTEfwci2DpQTvBlB93nKfCD8xA0ZFlRMH353DNskbWbXFI6UUFx2mTQdci3qWdThyPwZY/8XkF59BZAfy+1XKDZPI3UU/RYXiCWTyJzuPm0PZ71gH3PNrixNWcRr3a0qadThyPHXBjB0L/vxKNzQZSqzNkeIk+rKt+ngq/UIXyuwOrqy+Ha+bVFicKUXXINu10bHi0xSaLYSlxCA/4Tp4KBiHPtjjNKD5CVDsdGx5Z8bU3yGNYECl0BGaUC3m1xTFhI8Y6i2qnY8OjLdjVLSeWRXbvo2a0OLJuixNn0Zl22OLa6djwaAve3Cgn0mrlzygpsmqLEwdTOotNOx0bHm0xKRrfP8FgMEqMrNri2ECXwOzSTseGRxtwAjOD0QbIui2OC6hON4jhubbTseExDlyyxmAwckceTQqiwE0KGAxGIaAXpxdRMkZxvUs8/QxGfvgf/Qskv7nTD8IAAAJWdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWJzdXA+PG1vPiYjeDIyMkI7PC9tbz48bXJvdy8+PG1yb3cvPjwvbXN1YnN1cD48bWZyYWM+PG1yb3c+PG1vPig8L21vPjxtbj4xPC9tbj48bW8+KzwvbW8+PG1pPng8L21pPjxtbz4pPC9tbz48bXN1cD48bWk+ZTwvbWk+PG1pPng8L21pPjwvbXN1cD48L21yb3c+PG1yb3c+PG1pPnM8L21pPjxtaT5lPC9taT48bXN1cD48bWk+YzwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+KDwvbW8+PG1pPng8L21pPjxtc3VwPjxtaT5lPC9taT48bWk+eDwvbWk+PC9tc3VwPjxtbz4pPC9tbz48L21yb3c+PC9tZnJhYz48bWk+ZDwvbWk+PG1pPng8L21pPjxtbz49PC9tbz48bWk+JiN4QTA7PC9taT48bWk+bDwvbWk+PG1pPm88L21pPjxtaT5nPC9taT48bWk+JiN4QTA7PC9taT48bW8+fDwvbW8+PG1pPnQ8L21pPjxtaT5hPC9taT48bWk+bjwvbWk+PG1mcmFjPjxtaT54PC9taT48bW4+MjwvbW4+PC9tZnJhYz48bW8+fDwvbW8+PG1vPis8L21vPjxtaT5zPC9taT48bWk+ZTwvbWk+PG1pPmM8L21pPjxtaT54PC9taT48bW8+KzwvbW8+PG1pPkM8L21pPjwvbWF0aD7gXBykAAAAAElFTkSuQmCC)
II:
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](data:image/png;base64,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)
II:
Which of the following is true
Maths-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](data:image/png;base64,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)
II
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](data:image/png;base64,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)
II
Which of the following is true
Maths-General
Chemistry-
The probability density plots of 1s and 2s orbitals are given in figure
![](data:image/png;base64,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)
The density of dots in region represents the probability density of finding electrons in the region. On the basis of above diagram which of the following statements is incor-rect?
The probability density plots of 1s and 2s orbitals are given in figure
![](data:image/png;base64,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)
The density of dots in region represents the probability density of finding electrons in the region. On the basis of above diagram which of the following statements is incor-rect?
Chemistry-General
Physics-
In the set up shown in Fig the two slits,
and
are not equidistant from the slit S. The central fringe at O is then
![](data:image/png;base64,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)
In the set up shown in Fig the two slits,
and
are not equidistant from the slit S. The central fringe at O is then
![](data:image/png;base64,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)
Physics-General
Physics-
In a Young’s double slit experimental arrangement shown here, if a mica sheet of thickness t and refractive index
is placed in front of the slit
then the path difference ![left parenthesis S subscript 1 end subscript P minus S subscript 2 end subscript P right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
In a Young’s double slit experimental arrangement shown here, if a mica sheet of thickness t and refractive index
is placed in front of the slit
then the path difference ![left parenthesis S subscript 1 end subscript P minus S subscript 2 end subscript P right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
Physics-General
Physics-
Following figure shows sources
and
that emits light of wavelength
in all directions. The sources are exactly in phase and are separated by a distance equal to
If we start at the indicated start point and travel along path 1 and 2, the interference produce a maxima all along
![](data:image/png;base64,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)
Following figure shows sources
and
that emits light of wavelength
in all directions. The sources are exactly in phase and are separated by a distance equal to
If we start at the indicated start point and travel along path 1 and 2, the interference produce a maxima all along
![](data:image/png;base64,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)
Physics-General
Physics-
Two coherent sources separated by distance d are radiating in phase having wavelength
. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of n = 4 interference maxima is given as
![](data:image/png;base64,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)
Two coherent sources separated by distance d are radiating in phase having wavelength
. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of n = 4 interference maxima is given as
![](data:image/png;base64,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)
Physics-General
Physics-
A beam with wavelength
falls on a stack of partially reflecting planes with separation d. The angle
that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2, ……)
![](data:image/png;base64,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)
A beam with wavelength
falls on a stack of partially reflecting planes with separation d. The angle
that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2, ……)
![](data:image/png;base64,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)
Physics-General
Physics-
Two point sources X and Y emit waves of same frequency and speed but Y lags in phase behind X by 2
l radian. If there is a maximum in direction D the distance XO using n as an integer is given by
![](data:image/png;base64,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)
Two point sources X and Y emit waves of same frequency and speed but Y lags in phase behind X by 2
l radian. If there is a maximum in direction D the distance XO using n as an integer is given by
![](data:image/png;base64,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)
Physics-General
Physics-
Two ideal slits S1 and S2 are at a distance d apart, and illuminated by light of wavelength
passing through an ideal source slit S placed on the line through S2 as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is
![](data:image/png;base64,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)
Two ideal slits S1 and S2 are at a distance d apart, and illuminated by light of wavelength
passing through an ideal source slit S placed on the line through S2 as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is
![](data:image/png;base64,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)
Physics-General
Physics-
A monochromatic beam of light falls on YDSE apparatus at some angle (say
) as shown in figure. A thin sheet of glass is inserted in front of the lower slit S2. The central bright fringe (path difference = 0) will be obtained
![](data:image/png;base64,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)
A monochromatic beam of light falls on YDSE apparatus at some angle (say
) as shown in figure. A thin sheet of glass is inserted in front of the lower slit S2. The central bright fringe (path difference = 0) will be obtained
![](data:image/png;base64,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)
Physics-General
Chemistry-
Given
The number of electrons present in l = 2 is
Given
The number of electrons present in l = 2 is
Chemistry-General
Maths-
Plot A(3,-5) on a carteaion plane.
Plot A(3,-5) on a carteaion plane.
Maths-General
Maths-
If
is a non-zero number and
, then f(x) is:
If
is a non-zero number and
, then f(x) is:
Maths-General
Maths-
The integral
equal
The integral
equal
Maths-General