Physics
General
Easy

Question

If earth rotates faster than its present speed the weight of an object will.

  1. increases at the equator but remain unchanged of the poles.
  2. Decreases at the equator but remain unchanged at poles.
  3. Remain unchanged at the equator but decreases at poles.

The correct answer is: Decreases at the equator but remain unchanged at poles.

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The value of g on be earth surface is 980 cm/s e c squared. Its value at a height of 64 km from the earth surface is....cm5-2

The value of g on be earth surface is 980 cm/s e c squared. Its value at a height of 64 km from the earth surface is....cm5-2

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A body weights 700 g wt on the surface of earth How much it weight on the surface of planet whose mass is 1/7 and radius is half that of the earth

A body weights 700 g wt on the surface of earth How much it weight on the surface of planet whose mass is 1/7 and radius is half that of the earth

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in a sine wave, position of different particles at time t =0 is sbown in figure: The equation for this wave travelling along the positive x - direction can be

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Aspherical planet far out in space has mas Mo and diameter Do. A particle of m falling near the surface of this planet will experience an acceleration due to gravity which is equal to

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If f left parenthesis x comma y right parenthesis equals S i n invisible function application open parentheses e to the power of a x end exponent plus e to the power of b y end exponent close parentheses then f subscript x y end subscript equals

The given function is f(x,y) = sin(eax + eby)
We have to find the value of fxy
It means we have to find the value of fraction numerator partial differential squared f over denominator partial differential x partial differential y end fraction
We will first take partial derivative w.r.t to one of the variable. Then we take the partial derivative of that value w.r.t the remaining variable.
Taking the partial derivative w.r.t x
f open parentheses x comma y close parentheses equals sin open parentheses e to the power of a x end exponent plus e to the power of b y end exponent close parentheses
fraction numerator partial differential f over denominator partial differential x end fraction equals cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis space fraction numerator partial differential over denominator partial differential x end fraction left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis
space space space space space space space space space equals cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis left parenthesis e to the power of a x end exponent plus 0 right parenthesis fraction numerator partial differential over denominator partial differential x end fraction a x
space space space space space space space space space equals a e to the power of a x end exponent cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis
We will take the derivative of this value w.r.t y
fraction numerator partial differential f over denominator partial differential x end fraction equals a e to the power of a x end exponent cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis
fraction numerator partial differential squared f over denominator partial differential x partial differential y end fraction space equals a e to the power of a x end exponent fraction numerator partial differential over denominator partial differential x end fraction cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis
space space space space space space space space space space space space space space space equals a e to the power of a x end exponent left square bracket negative sin left parenthesis e to the power of a x end exponent plus e to the power of b x end exponent right parenthesis right square bracket fraction numerator partial differential over denominator partial differential x end fraction e to the power of a x end exponent plus e to the power of b y space end exponent
space space space space space space space space space space space space space space space equals negative a e to the power of a x end exponent sin left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis left parenthesis 0 plus e to the power of b y end exponent right parenthesis fraction numerator partial differential over denominator partial differential x end fraction b y space space space space space space space space space... left curly bracket fraction numerator d over denominator d x end fraction e to the power of f left parenthesis x right parenthesis end exponent equals e to the power of f left parenthesis x right parenthesis end exponent fraction numerator d f left parenthesis x right parenthesis over denominator d x end fraction right curly bracket
space space space space space space space space space space space space space space space equals negative a e to the power of a x end exponent sin left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis left parenthesis e to the power of b y end exponent right parenthesis b
space space space space space space space space space space space space f subscript x y end subscript space space equals negative a b e to the power of a x plus b y end exponent sin left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis space space space space space space space space space space space space space space space space... left curly bracket e to the power of m e to the power of n equals e to the power of m plus n end exponent right curly bracket
space space space space space space space space space
This is the required answer.

If f left parenthesis x comma y right parenthesis equals S i n invisible function application open parentheses e to the power of a x end exponent plus e to the power of b y end exponent close parentheses then f subscript x y end subscript equals

Maths-General
The given function is f(x,y) = sin(eax + eby)
We have to find the value of fxy
It means we have to find the value of fraction numerator partial differential squared f over denominator partial differential x partial differential y end fraction
We will first take partial derivative w.r.t to one of the variable. Then we take the partial derivative of that value w.r.t the remaining variable.
Taking the partial derivative w.r.t x
f open parentheses x comma y close parentheses equals sin open parentheses e to the power of a x end exponent plus e to the power of b y end exponent close parentheses
fraction numerator partial differential f over denominator partial differential x end fraction equals cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis space fraction numerator partial differential over denominator partial differential x end fraction left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis
space space space space space space space space space equals cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis left parenthesis e to the power of a x end exponent plus 0 right parenthesis fraction numerator partial differential over denominator partial differential x end fraction a x
space space space space space space space space space equals a e to the power of a x end exponent cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis
We will take the derivative of this value w.r.t y
fraction numerator partial differential f over denominator partial differential x end fraction equals a e to the power of a x end exponent cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis
fraction numerator partial differential squared f over denominator partial differential x partial differential y end fraction space equals a e to the power of a x end exponent fraction numerator partial differential over denominator partial differential x end fraction cos left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis
space space space space space space space space space space space space space space space equals a e to the power of a x end exponent left square bracket negative sin left parenthesis e to the power of a x end exponent plus e to the power of b x end exponent right parenthesis right square bracket fraction numerator partial differential over denominator partial differential x end fraction e to the power of a x end exponent plus e to the power of b y space end exponent
space space space space space space space space space space space space space space space equals negative a e to the power of a x end exponent sin left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis left parenthesis 0 plus e to the power of b y end exponent right parenthesis fraction numerator partial differential over denominator partial differential x end fraction b y space space space space space space space space space... left curly bracket fraction numerator d over denominator d x end fraction e to the power of f left parenthesis x right parenthesis end exponent equals e to the power of f left parenthesis x right parenthesis end exponent fraction numerator d f left parenthesis x right parenthesis over denominator d x end fraction right curly bracket
space space space space space space space space space space space space space space space equals negative a e to the power of a x end exponent sin left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis left parenthesis e to the power of b y end exponent right parenthesis b
space space space space space space space space space space space space f subscript x y end subscript space space equals negative a b e to the power of a x plus b y end exponent sin left parenthesis e to the power of a x end exponent plus e to the power of b y end exponent right parenthesis space space space space space space space space space space space space space space space space... left curly bracket e to the power of m e to the power of n equals e to the power of m plus n end exponent right curly bracket
space space space space space space space space space
This is the required answer.
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If. two almost identical waves having frequencies n subscript 1 end subscript and n subscript 2 end subscript produced one after the other superposes then the time interval to obtain a beat of maxirmum intensity is .......

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As shown in figure, two pulses in a string having center to center distance of 8 cm are travelling abng mutually opposite direction. If the speed of both the pulse is 2 text end text c m divided by s, then after 2s, the energy of these pulses will be…………

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As we go from the equator to the poles, the value of g…..

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Two point masses A and B having masses in the ratio 4:3 are seprated by a distance of 1m. When another point mass c of mass M is placed in between A and B the forces A and C is 1/3rd of the force between b and C, Then the distance C form  is...m

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