Question
The given pair is
![](data:image/png;base64,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)
- enatiomers
- Identical
- constitutional isomers
- diastereomers
The correct answer is: enatiomers
Related Questions to study
If the mass of earth is 80 times of that of a planet and diameter is double that of planet and 'g' on the earth is 9.8 ms2, then the value of ' g ' on that planet is ….
If the mass of earth is 80 times of that of a planet and diameter is double that of planet and 'g' on the earth is 9.8 ms2, then the value of ' g ' on that planet is ….
If the relation between subnormal 'SN' and subtangent 'ST' at any point on the curve by is
then
For such questions, we should know the formulas of subnormal and subtangent.
If the relation between subnormal 'SN' and subtangent 'ST' at any point on the curve by is
then
For such questions, we should know the formulas of subnormal and subtangent.
If the radius of earth is R then height 'h ' at which value of ' g' becomes one - fourth is
If the radius of earth is R then height 'h ' at which value of ' g' becomes one - fourth is
An object weights 72 N on the earth. Its weight at a height R/2 from earth is ……N
An object weights 72 N on the earth. Its weight at a height R/2 from earth is ……N
If mass of a body is M on the earth surface, than the mass of the same body on the moont surfae is
If mass of a body is M on the earth surface, than the mass of the same body on the moont surfae is
If the density of small planet is that of the same as that of the earth while the radius of the planet is 0.2 times that of lhe earth, the gravitational acceleration on the surface of the planet is……
If the density of small planet is that of the same as that of the earth while the radius of the planet is 0.2 times that of lhe earth, the gravitational acceleration on the surface of the planet is……
The depth of at which the value of acceleration due to gravity becomes 1/n the time the value of at the surface is (R= radius of earth)
The depth of at which the value of acceleration due to gravity becomes 1/n the time the value of at the surface is (R= radius of earth)
The moon's radius is 1/4 that of earth and its mass is 1/80 times that of the earth. If g represents the acceleration due to gravity on the surface of earth, that on the surface of the moon is
The moon's radius is 1/4 that of earth and its mass is 1/80 times that of the earth. If g represents the acceleration due to gravity on the surface of earth, that on the surface of the moon is
The length of the tangent of the curves
is
For such questions, we should know the properties of trignometric functions and their different formulas.
The length of the tangent of the curves
is
For such questions, we should know the properties of trignometric functions and their different formulas.
If earth rotates faster than its present speed the weight of an object will.
If earth rotates faster than its present speed the weight of an object will.
The value of g on be earth surface is 980 cm/
. 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/
. Its value at a height of 64 km from the earth surface is....cm5-2
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
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
![](data:image/png;base64,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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
![](data:image/png;base64,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)
Aspherical planet far out in space has mas Mo and diameter Do. A particle of
falling near the surface of this planet will experience an acceleration due to gravity which is equal to
Aspherical planet far out in space has mas Mo and diameter Do. A particle of
falling near the surface of this planet will experience an acceleration due to gravity which is equal to
If
then ![f subscript x y end subscript equals](data:image/png;base64,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)
We have used rules of indices and different formulae of differentiation to solve the question. When we find the derivative w.r.t to some variable we take another variable as consta.
If
then ![f subscript x y end subscript equals](data:image/png;base64,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)
We have used rules of indices and different formulae of differentiation to solve the question. When we find the derivative w.r.t to some variable we take another variable as consta.