Biology
General
Easy

Question

The figure shows position of structures prior to digestion process

Consider the statements with reference to the diagram
I) The process will start as the bolus will be forced to move from oral cavity to pharynx
II) The process involves the coordinated activity of the tongue, soft palate, pharynx and oesophagus
IV) During the process, the respiratory passage is blocked and breathing is temporarily interrupted
Identify the steps shown and choose the steps correctly describing the process from the above given statements.

  1. Swallowing, I and III    
  2. Deglutition, II, III and IV    
  3. Peristalsis, I and II    
  4. Deglutition I, II and IV    

The correct answer is: Deglutition I, II and IV

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If blank to the power of n C subscript 4 comma to the power of n C subscript 5 comma to the power of n C subscript 6 are in A.P., then the value of n is

Given,blank to the power of n C subscript 4 comma to the power of n C subscript 5 comma to the power of n C subscript 6 is in AP. So, 2 to the power of n C subscript 5 equals to the power of n C subscript 4 plus to the power of n C subscript 6
Now, 2 fraction numerator n factorial over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator n factorial over denominator 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction plus fraction numerator n factorial over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator 6 factorial left parenthesis n minus 6 right parenthesis factorial plus over denominator 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction fraction numerator 4 factorial left parenthesis n minus 4 right parenthesis factorial over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator left parenthesis n minus 6 right parenthesis factorial 4 factorial open square brackets 6 cross times 5 plus open parentheses n minus 4 close parentheses open parentheses n minus 5 close parentheses close square brackets over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator 30 plus n squared minus 4 n minus 5 n plus 20 over denominator left parenthesis n minus 4 right parenthesis factorial 6 factorial end fraction
rightwards double arrow fraction numerator 2 left parenthesis n minus 4 right parenthesis factorial 6 factorial over denominator left parenthesis n minus 5 right parenthesis factorial 5 factorial end fraction equals n squared minus 9 n plus 50
rightwards double arrow fraction numerator 2 left parenthesis n minus 4 right parenthesis left parenthesis n minus 5 right parenthesis factorial cross times 6 cross times 5 factorial over denominator left parenthesis n minus 5 right parenthesis factorial 5 factorial end fraction equals n squared minus 9 n plus 50
rightwards double arrow 12 n minus 48 equals n squared minus 9 n plus 50
rightwards double arrow n squared minus 9 n plus 50 minus 12 n plus 48 equals 0
rightwards double arrow n squared minus 21 n plus 98 equals 0
rightwards double arrow n squared minus 14 n minus 7 n plus 98 equals 0
rightwards double arrow n left parenthesis n minus 14 right parenthesis minus 7 left parenthesis n minus 14 right parenthesis equals 0
rightwards double arrow left parenthesis n minus 7 right parenthesis left parenthesis n minus 14 right parenthesis equals 0
rightwards double arrow n equals 7 space o r space 14

If blank to the power of n C subscript 4 comma to the power of n C subscript 5 comma to the power of n C subscript 6 are in A.P., then the value of n is

Maths-General
Given,blank to the power of n C subscript 4 comma to the power of n C subscript 5 comma to the power of n C subscript 6 is in AP. So, 2 to the power of n C subscript 5 equals to the power of n C subscript 4 plus to the power of n C subscript 6
Now, 2 fraction numerator n factorial over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator n factorial over denominator 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction plus fraction numerator n factorial over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator 6 factorial left parenthesis n minus 6 right parenthesis factorial plus over denominator 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction fraction numerator 4 factorial left parenthesis n minus 4 right parenthesis factorial over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator left parenthesis n minus 6 right parenthesis factorial 4 factorial open square brackets 6 cross times 5 plus open parentheses n minus 4 close parentheses open parentheses n minus 5 close parentheses close square brackets over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator 30 plus n squared minus 4 n minus 5 n plus 20 over denominator left parenthesis n minus 4 right parenthesis factorial 6 factorial end fraction
rightwards double arrow fraction numerator 2 left parenthesis n minus 4 right parenthesis factorial 6 factorial over denominator left parenthesis n minus 5 right parenthesis factorial 5 factorial end fraction equals n squared minus 9 n plus 50
rightwards double arrow fraction numerator 2 left parenthesis n minus 4 right parenthesis left parenthesis n minus 5 right parenthesis factorial cross times 6 cross times 5 factorial over denominator left parenthesis n minus 5 right parenthesis factorial 5 factorial end fraction equals n squared minus 9 n plus 50
rightwards double arrow 12 n minus 48 equals n squared minus 9 n plus 50
rightwards double arrow n squared minus 9 n plus 50 minus 12 n plus 48 equals 0
rightwards double arrow n squared minus 21 n plus 98 equals 0
rightwards double arrow n squared minus 14 n minus 7 n plus 98 equals 0
rightwards double arrow n left parenthesis n minus 14 right parenthesis minus 7 left parenthesis n minus 14 right parenthesis equals 0
rightwards double arrow left parenthesis n minus 7 right parenthesis left parenthesis n minus 14 right parenthesis equals 0
rightwards double arrow n equals 7 space o r space 14
General
maths-

L t subscript x not stretchy rightwards arrow a end subscript fraction numerator tan left parenthesis x minus a right parenthesis over denominator x squared minus a squared end fraction left parenthesis a not equal to 0 right parenthesis

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stack l i m with x rightwards arrow 1 to the power of minus end exponent below   f left parenthesis x right parenthesis not equal to stack l i m with x rightwards arrow 1 to the power of plus end exponent below   f left parenthesis x right parenthesis
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If blank to the power of n minus 1 end exponent C subscript 3 plus to the power of n minus 1 end exponent C subscript 4 greater than to the power of n C subscript 3 then

using blank to the power of n C subscript r space end subscript plus to the power of n C subscript r plus 1 end subscript equals to the power of n plus 1 end exponent C subscript r plus 1 end subscript
If blank to the power of n minus 1 end exponent C subscript 3 plus to the power of n minus 1 end exponent C subscript 4 greater than to the power of n C subscript 3
rightwards double arrow to the power of n minus 1 plus 1 end exponent C subscript 4 greater than to the power of n C subscript 3
rightwards double arrow to the power of n C subscript 4 greater than to the power of n C subscript 3
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A plane electromagnetic wave of frequency 40 MHz travels in free space in the X-direction. At some point and at some instant, the electric field stack E with rightwards arrow on top has its maximum value of 750 N/C in Y-direction The wavelength of the wave is

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physics-General
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A flood light is covered with a filter that transmits red light. The electric field of the emerging beam is represented by a sinusoidal plane wave E subscript x end subscript equals 36 s i n invisible function application open parentheses 1.20 cross times 10 to the power of 7 end exponent z minus 3.6 cross times 10 to the power of 15 end exponent t close parentheses V divided by m The average intensity of the sun will be

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An electric field of 300V/m is confined to a circular area 10 cm in diameter. If the field is increasing at the rate of 20V/m-s, the magnitude of magnetic field at a point 15cm from the centre of the circle will be

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The sun delivers 103 W/m2 of electromagnetic flux to the earth’s surface. The total power that is incident on a roof of dimensions 8m´20m is 1.6´105 W the radiation force on the roof will be -

The sun delivers 103 W/m2 of electromagnetic flux to the earth’s surface. The total power that is incident on a roof of dimensions 8m´20m is 1.6´105 W the radiation force on the roof will be -

physics-General
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The sun delivers 103W/m2 of electromagnetic flux to the earth’s surface. The total power that is incident on a roof of dimensions 8m´20m, will be -

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