A geo-stationary satellite is orbiting the earth of a height of-Turito

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General

Easy

Physics

A geo-stationary satellite is orbiting the earth of a height of above the surface of earth, R. being the radius of earth. The time period of another satellite at a height of 2.5R from the surface fo earth is hr

PhysicsGeneral

6
6 $\sqrt{2}$
10
6/ $\sqrt{2}$

Answer:The correct answer is: 6/ $square root of 2$

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Magnetic moment of Cr (Z = 24), Mn⁺ (Z = 25) and Fe²⁺ (Z = 26) are a,b,c. They are in the order:

Magnetic moment of Cr (Z = 24), Mn⁺ (Z = 25) and Fe²⁺ (Z = 26) are a,b,c. They are in the order:

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The unpaired electrons in Fe²⁺ ion (four) are less than in Mn²⁺ ion (five)
\Fe²⁺ ion is less paramagnetic than Mn²⁺ ion.
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If $f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator x minus 1 over denominator 2 x to the power of 2 end exponent minus 7 x plus 5 end fraction comma blank f o r x not equal to 1 end cell row cell negative fraction numerator 1 over denominator 3 end fraction comma blank f o r x equals 1 end cell end table close$ , then $f to the power of ´ end exponent left parenthesis 1 right parenthesis$ is equal to

f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator x minus 1 over denominator 2 x to the power of 2 end exponent minus 7 x plus 5 end fraction comma blank x not equal to 1 end cell row cell negative fraction numerator 1 over denominator 3 end fraction comma blank x equals 1 end cell end table close

f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator 1 over denominator 2 x minus 5 end fraction comma blank x not equal to 1 end cell row cell negative fraction numerator 1 over denominator 3 end fraction comma blank x equals 1 end cell end table close

f to the power of ´ end exponent open parentheses 1 close parentheses equals stack lim with h rightwards arrow 0 below invisible function application fraction numerator f open parentheses 1 plus h close parentheses minus f left parenthesis 1 right parenthesis over denominator h end fraction

equals stack lim with h rightwards arrow 0 below invisible function application fraction numerator fraction numerator 1 over denominator 2 open parentheses 1 plus h close parentheses minus 5 end fraction minus open parentheses negative fraction numerator 1 over denominator 3 end fraction close parentheses over denominator h end fraction

equals stack lim with h rightwards arrow 0 below invisible function application fraction numerator fraction numerator 1 over denominator 2 h minus 3 end fraction plus fraction numerator 1 over denominator 3 end fraction over denominator h end fraction equals stack l i m with h rightwards arrow 0 below fraction numerator 3 plus 2 h minus 3 over denominator 3 h left parenthesis 2 h minus 3 right parenthesis end fraction equals negative fraction numerator 2 over denominator 9 end fraction

L f to the power of ´ end exponent open parentheses 1 close parentheses equals stack l i m with h rightwards arrow 0 below fraction numerator f open parentheses 1 minus h close parentheses minus f left parenthesis 1 right parenthesis over denominator negative h end fraction

equals stack l i m with h rightwards arrow 0 below fraction numerator fraction numerator 1 over denominator 2 open parentheses 1 minus h close parentheses minus 5 end fraction minus open parentheses negative fraction numerator 1 over denominator 3 end fraction close parentheses over denominator negative h end fraction

equals stack l i m with h rightwards arrow 0 below minus fraction numerator 2 over denominator 3 left parenthesis 2 h plus 3 right parenthesis end fraction equals negative fraction numerator 2 over denominator 9 end fraction

therefore blank f to the power of ´ end exponent open parentheses 1 close parentheses equals negative fraction numerator 2 over denominator 9 end fraction

If $f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator x minus 1 over denominator 2 x to the power of 2 end exponent minus 7 x plus 5 end fraction comma blank f o r x not equal to 1 end cell row cell negative fraction numerator 1 over denominator 3 end fraction comma blank f o r x equals 1 end cell end table close$ , then $f to the power of ´ end exponent left parenthesis 1 right parenthesis$ is equal to

f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator x minus 1 over denominator 2 x to the power of 2 end exponent minus 7 x plus 5 end fraction comma blank x not equal to 1 end cell row cell negative fraction numerator 1 over denominator 3 end fraction comma blank x equals 1 end cell end table close

f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator 1 over denominator 2 x minus 5 end fraction comma blank x not equal to 1 end cell row cell negative fraction numerator 1 over denominator 3 end fraction comma blank x equals 1 end cell end table close

f to the power of ´ end exponent open parentheses 1 close parentheses equals stack lim with h rightwards arrow 0 below invisible function application fraction numerator f open parentheses 1 plus h close parentheses minus f left parenthesis 1 right parenthesis over denominator h end fraction

equals stack lim with h rightwards arrow 0 below invisible function application fraction numerator fraction numerator 1 over denominator 2 open parentheses 1 plus h close parentheses minus 5 end fraction minus open parentheses negative fraction numerator 1 over denominator 3 end fraction close parentheses over denominator h end fraction

equals stack lim with h rightwards arrow 0 below invisible function application fraction numerator fraction numerator 1 over denominator 2 h minus 3 end fraction plus fraction numerator 1 over denominator 3 end fraction over denominator h end fraction equals stack l i m with h rightwards arrow 0 below fraction numerator 3 plus 2 h minus 3 over denominator 3 h left parenthesis 2 h minus 3 right parenthesis end fraction equals negative fraction numerator 2 over denominator 9 end fraction

L f to the power of ´ end exponent open parentheses 1 close parentheses equals stack l i m with h rightwards arrow 0 below fraction numerator f open parentheses 1 minus h close parentheses minus f left parenthesis 1 right parenthesis over denominator negative h end fraction

equals stack l i m with h rightwards arrow 0 below fraction numerator fraction numerator 1 over denominator 2 open parentheses 1 minus h close parentheses minus 5 end fraction minus open parentheses negative fraction numerator 1 over denominator 3 end fraction close parentheses over denominator negative h end fraction

equals stack l i m with h rightwards arrow 0 below minus fraction numerator 2 over denominator 3 left parenthesis 2 h plus 3 right parenthesis end fraction equals negative fraction numerator 2 over denominator 9 end fraction

therefore blank f to the power of ´ end exponent open parentheses 1 close parentheses equals negative fraction numerator 2 over denominator 9 end fraction

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