Physics
General
Easy

Question

If density of earth increased 4 times and its radius becomes half of then out weight will be...

  1. Four times it present value
  2. doubled
  3. Remain same
  4. halved

The correct answer is: doubled

Related Questions to study

General
physics

Weight of body of mass m decreases by 1% when it is raised to height h above the earth's surface. If the body is taken to a depth h in a mine. change in its weight is

Weight of body of mass m decreases by 1% when it is raised to height h above the earth's surface. If the body is taken to a depth h in a mine. change in its weight is

physicsGeneral
General
physics

Density of the earth is doubled keeping its radius constant then acceleration, due to gravity will. be …….ms-2 (g=9.8 ms2)

Density of the earth is doubled keeping its radius constant then acceleration, due to gravity will. be …….ms-2 (g=9.8 ms2)

physicsGeneral
General
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The acceleration due to gravity is  at a point distance r from the center of earth . if . R.  if r<R.then

The acceleration due to gravity is  at a point distance r from the center of earth . if . R.  if r<R.then

physicsGeneral
parallel
General
Maths-

If u equals l o g invisible function application open parentheses x to the power of 3 end exponent plus y to the power of 3 end exponent plus z to the power of 3 end exponent minus 3 x y z close parentheses then sum x fraction numerator partial differential u over denominator partial differential x end fraction equals

The given function is u=log(x3+y3+z3-3xyz)
We have to find the value of sum x fraction numerator partial differential u over denominator partial differential x end fraction
It means we have to find the value of x fraction numerator partial differential u over denominator partial differential x end fraction plus y fraction numerator partial differential u over denominator partial differential y end fraction plus z fraction numerator partial differential u over denominator partial differential z end fraction
For simplification we will write u=logv
v = x3 + y3 + z3 -3xyz
We will take the partial derivative of u w.r.t all three variables.
fraction numerator partial differential u over denominator partial differential x end fraction equals 1 over v fraction numerator partial differential v over denominator partial differential x end fraction
v space equals x cubed plus y cubed plus z cubed minus 3 x y z
y
fraction numerator partial differential v over denominator partial differential x end fraction space equals 3 x squared minus 3 y z space space space space space space space left parenthesis 1 right parenthesis

fraction numerator partial differential u over denominator partial differential y end fraction equals 1 over v fraction numerator partial differential v over denominator partial differential y end fraction
fraction numerator partial differential v over denominator partial differential y end fraction equals 3 y squared minus 3 x z space space space space space space space space left parenthesis 2 right parenthesis

fraction numerator partial differential u over denominator partial differential z end fraction equals 1 over v fraction numerator partial differential v over denominator partial differential z space end fraction
fraction numerator partial differential v over denominator partial differential z end fraction space equals 3 z squared minus 3 x y space space space space space space space space left parenthesis 3 right parenthesis






space
Now, we will substitute all the values in the sum x fraction numerator partial differential u over denominator partial differential x end fraction.
x fraction numerator partial differential u over denominator partial differential x end fraction plus y fraction numerator partial differential u over denominator partial differential y end fraction plus z fraction numerator partial differential y over denominator partial differential z end fraction equals x left parenthesis fraction numerator 3 x squared minus 3 y z over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction right parenthesis plus y left parenthesis fraction numerator 3 y squared minus 3 x z over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction right parenthesis plus z left parenthesis fraction numerator 3 z squared minus 3 x y over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 3 x cubed minus 3 x y z plus 3 y cubed minus 3 x y z plus 3 z cubed minus 3 x y z over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 3 x cubed plus 3 y cubed plus 3 z cubed minus 9 x y z over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 fraction numerator x cubed plus y cubed plus z cubed minus 3 x y z over denominator x cubed plus y cubed plus y cubed minus 3 x y z end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3
The required answer is 3.

If u equals l o g invisible function application open parentheses x to the power of 3 end exponent plus y to the power of 3 end exponent plus z to the power of 3 end exponent minus 3 x y z close parentheses then sum x fraction numerator partial differential u over denominator partial differential x end fraction equals

Maths-General
The given function is u=log(x3+y3+z3-3xyz)
We have to find the value of sum x fraction numerator partial differential u over denominator partial differential x end fraction
It means we have to find the value of x fraction numerator partial differential u over denominator partial differential x end fraction plus y fraction numerator partial differential u over denominator partial differential y end fraction plus z fraction numerator partial differential u over denominator partial differential z end fraction
For simplification we will write u=logv
v = x3 + y3 + z3 -3xyz
We will take the partial derivative of u w.r.t all three variables.
fraction numerator partial differential u over denominator partial differential x end fraction equals 1 over v fraction numerator partial differential v over denominator partial differential x end fraction
v space equals x cubed plus y cubed plus z cubed minus 3 x y z
y
fraction numerator partial differential v over denominator partial differential x end fraction space equals 3 x squared minus 3 y z space space space space space space space left parenthesis 1 right parenthesis

fraction numerator partial differential u over denominator partial differential y end fraction equals 1 over v fraction numerator partial differential v over denominator partial differential y end fraction
fraction numerator partial differential v over denominator partial differential y end fraction equals 3 y squared minus 3 x z space space space space space space space space left parenthesis 2 right parenthesis

fraction numerator partial differential u over denominator partial differential z end fraction equals 1 over v fraction numerator partial differential v over denominator partial differential z space end fraction
fraction numerator partial differential v over denominator partial differential z end fraction space equals 3 z squared minus 3 x y space space space space space space space space left parenthesis 3 right parenthesis






space
Now, we will substitute all the values in the sum x fraction numerator partial differential u over denominator partial differential x end fraction.
x fraction numerator partial differential u over denominator partial differential x end fraction plus y fraction numerator partial differential u over denominator partial differential y end fraction plus z fraction numerator partial differential y over denominator partial differential z end fraction equals x left parenthesis fraction numerator 3 x squared minus 3 y z over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction right parenthesis plus y left parenthesis fraction numerator 3 y squared minus 3 x z over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction right parenthesis plus z left parenthesis fraction numerator 3 z squared minus 3 x y over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 3 x cubed minus 3 x y z plus 3 y cubed minus 3 x y z plus 3 z cubed minus 3 x y z over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 3 x cubed plus 3 y cubed plus 3 z cubed minus 9 x y z over denominator x cubed plus y cubed plus z cubed minus 3 x y z end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 fraction numerator x cubed plus y cubed plus z cubed minus 3 x y z over denominator x cubed plus y cubed plus y cubed minus 3 x y z end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3
The required answer is 3.
General
chemistry-

Which type of isomerism is observed between I and II
     and 

Which type of isomerism is observed between I and II
     and 

chemistry-General
General
chemistry-

How many spatial orientations are possible in following compounds-

How many spatial orientations are possible in following compounds-

chemistry-General
parallel
General
chemistry-

The configuration of stereo center in the compound is –

The configuration of stereo center in the compound is –

chemistry-General
General
chemistry-

The IUPAC name of the given compound –

The IUPAC name of the given compound –

chemistry-General
General
chemistry-

Shows which type of isomerism
and 

Shows which type of isomerism
and 

chemistry-General
parallel
General
chemistry-

The two compounds shown below are –

on superimposable mirror images

The two compounds shown below are –

chemistry-General
on superimposable mirror images
General
chemistry-

The compound whose stereo- chemical formula is written below exhibits ‘x’ geometrical isomers and ‘y’ optical isomers :

The value of x and y are :

The compound whose stereo- chemical formula is written below exhibits ‘x’ geometrical isomers and ‘y’ optical isomers :

The value of x and y are :

chemistry-General
General
chemistry-

The correct statements about the compounds a, b and c is/are

The correct statements about the compounds a, b and c is/are

chemistry-General
parallel
General
chemistry-

The absolute configuration of the following compound is :

The absolute configuration of the following compound is :

chemistry-General
General
chemistry-

The name of the compound is

The name of the compound is

chemistry-General
General
chemistry-

The correct statement(s) about the compound given below is (are)

The correct statement(s) about the compound given below is (are)

chemistry-General
parallel

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