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Physics-

General

Easy

Question

One mole of an ideal gas is kept enclosed under a light piston (area=10– 2 m2 ) connected by a compressed spring (spring constant 100 N/m). The volume of gas is 0.83 m3 and its temperature is 100K. The gas is heated slowly so that it compresses the spring further by 0.1 m. The work done by the gas in the process is: (Take R = 8.3 J/K-mole and suppose there is no atmosphere).

3 J
6J
9J
1.5 J

The correct answer is: 1.5 J

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A rod of length l is sliding such that one of its ends is always in contact with a vertical wall and its other end is always in contact with horizontal surface. Just after the rod is released from rest, the magnitude of acceleration of end points of the rod is a and b respectively. The angular acceleration of rod at this instant will be

A rod of length l is sliding such that one of its ends is always in contact with a vertical wall and its other end is always in contact with horizontal surface. Just after the rod is released from rest, the magnitude of acceleration of end points of the rod is a and b respectively. The angular acceleration of rod at this instant will be

Physics-General

Two sound waves are superimposed. The resulting pressure variation at a single point at a distance 'x' from the source is graphed below :

The beat frequency of the resulting sound wave is :

Two sound waves are superimposed. The resulting pressure variation at a single point at a distance 'x' from the source is graphed below :

The beat frequency of the resulting sound wave is :

Physics-General

If roots of the eduation $open parentheses blank to the power of m end exponent C subscript 0 end subscript plus blank to the power of m end exponent C subscript 1 end subscript midline horizontal ellipsis blank to the power of m end exponent C subscript m end subscript close parentheses x to the power of 2 end exponent plus open parentheses blank to the power of n end exponent C subscript 0 end subscript plus blank to the power of n end exponent C subscript 2 end subscript plus blank to the power of n end exponent C subscript 4 end subscript midline horizontal ellipsis close parentheses x plus open parentheses blank to the power of n end exponent C subscript 1 end subscript plus blank to the power of n end exponent C subscript 3 end subscript plus blank to the power of n end exponent C subscript 5 end subscript midline horizontal ellipsis close parentheses equals 0$ are real, then find the minimum value of n –m.

If roots of the eduation $open parentheses blank to the power of m end exponent C subscript 0 end subscript plus blank to the power of m end exponent C subscript 1 end subscript midline horizontal ellipsis blank to the power of m end exponent C subscript m end subscript close parentheses x to the power of 2 end exponent plus open parentheses blank to the power of n end exponent C subscript 0 end subscript plus blank to the power of n end exponent C subscript 2 end subscript plus blank to the power of n end exponent C subscript 4 end subscript midline horizontal ellipsis close parentheses x plus open parentheses blank to the power of n end exponent C subscript 1 end subscript plus blank to the power of n end exponent C subscript 3 end subscript plus blank to the power of n end exponent C subscript 5 end subscript midline horizontal ellipsis close parentheses equals 0$ are real, then find the minimum value of n –m.

parallel

For $x blank R blank element of comma blank x blank not equal to blank minus 1 comma$ if $left parenthesis 1 plus x right parenthesis to the power of 2016 end exponent plus x left parenthesis 1 plus x right parenthesis to the power of 2015 end exponent plus x to the power of 2 end exponent left parenthesis 1 plus x right parenthesis to the power of 2014 end exponent plus midline horizontal ellipsis plus x to the power of 2016 end exponent equals stretchy sum from i equals 0 to 2016 of a subscript i end subscript x to the power of i end exponent$ then $a subscript 17 end subscript blank$ is equal to

For $x blank R blank element of comma blank x blank not equal to blank minus 1 comma$ if $left parenthesis 1 plus x right parenthesis to the power of 2016 end exponent plus x left parenthesis 1 plus x right parenthesis to the power of 2015 end exponent plus x to the power of 2 end exponent left parenthesis 1 plus x right parenthesis to the power of 2014 end exponent plus midline horizontal ellipsis plus x to the power of 2016 end exponent equals stretchy sum from i equals 0 to 2016 of a subscript i end subscript x to the power of i end exponent$ then $a subscript 17 end subscript blank$ is equal to

The term independent of x in expansion of $blank open parentheses fraction numerator x plus 1 over denominator x to the power of 2 divided by 3 end exponent minus x to the power of 1 divided by 3 end exponent plus 1 end fraction minus fraction numerator x minus 1 over denominator x minus x to the power of 1 divided by 2 end exponent end fraction close parentheses to the power of 10 end exponent$ is

The term independent of x in expansion of $blank open parentheses fraction numerator x plus 1 over denominator x to the power of 2 divided by 3 end exponent minus x to the power of 1 divided by 3 end exponent plus 1 end fraction minus fraction numerator x minus 1 over denominator x minus x to the power of 1 divided by 2 end exponent end fraction close parentheses to the power of 10 end exponent$ is

The value of $open parentheses blank to the power of 21 end exponent C subscript 1 end subscript minus blank to the power of 10 end exponent C subscript 1 end subscript close parentheses plus open parentheses blank to the power of 21 end exponent C subscript 2 end subscript minus blank to the power of 10 end exponent C subscript 2 end subscript close parentheses plus open parentheses blank to the power of 21 end exponent C subscript 3 end subscript minus blank to the power of 10 end exponent C subscript 3 end subscript close parentheses plus open parentheses blank to the power of 21 end exponent C subscript 4 end subscript minus blank to the power of 10 end exponent C subscript 4 end subscript close parentheses plus midline horizontal ellipsis plus open parentheses blank to the power of 21 end exponent C subscript 10 end subscript minus blank to the power of 10 end exponent C subscript 10 end subscript close parentheses text end text$ is

The value of $open parentheses blank to the power of 21 end exponent C subscript 1 end subscript minus blank to the power of 10 end exponent C subscript 1 end subscript close parentheses plus open parentheses blank to the power of 21 end exponent C subscript 2 end subscript minus blank to the power of 10 end exponent C subscript 2 end subscript close parentheses plus open parentheses blank to the power of 21 end exponent C subscript 3 end subscript minus blank to the power of 10 end exponent C subscript 3 end subscript close parentheses plus open parentheses blank to the power of 21 end exponent C subscript 4 end subscript minus blank to the power of 10 end exponent C subscript 4 end subscript close parentheses plus midline horizontal ellipsis plus open parentheses blank to the power of 21 end exponent C subscript 10 end subscript minus blank to the power of 10 end exponent C subscript 10 end subscript close parentheses text end text$ is

parallel

Complete the following with an appropriate conjunction.
We could not sleep because it was too hot.

Complete the following with an appropriate conjunction.
We could not sleep because it was too hot.

$T h e blank a r e a blank i n blank s q u a r e blank u n i t s blank b o u n d e d blank b y blank t h e blank c u r v e s blank y equals x to the power of 3 end exponent comma$ $y equals x to the power of 2 end exponent blank a n d blank t h e blank o r d i n a t e s blank x equals 1 comma blank x equals 2 blank i s$

$T h e blank a r e a blank i n blank s q u a r e blank u n i t s blank b o u n d e d blank b y blank t h e blank c u r v e s blank y equals x to the power of 3 end exponent comma$ $y equals x to the power of 2 end exponent blank a n d blank t h e blank o r d i n a t e s blank x equals 1 comma blank x equals 2 blank i s$

The area of the region between the curve $x to the power of 2 end exponent plus y to the power of 2 end exponent equals$ 4 and x = 0; x =1 is….

The area of the region between the curve $x to the power of 2 end exponent plus y to the power of 2 end exponent equals$ 4 and x = 0; x =1 is….

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Glycine exists as the zwitter ion, $blank N H subscript 3 end subscript C H subscript 2 end subscript C O O to the power of minus end exponent blank$ Its conjugate base is

Glycine exists as the zwitter ion, $blank N H subscript 3 end subscript C H subscript 2 end subscript C O O to the power of minus end exponent blank$ Its conjugate base is

Chemistry-General

Identify Bronsted - Lowry acids in the reaction given
The correct answers

Identify Bronsted - Lowry acids in the reaction given
The correct answers

Chemistry-General

How many of the following in drinking water below 30 ppm do not cause any effect on the body as per international standards of water? $P b to the power of 2 plus end exponent comma H g to the power of 2 plus end exponent comma M n to the power of 2 plus end exponent comma C d to the power of 2 plus end exponent comma C l comma N O subscript 3 end subscript superscript minus end superscript comma S O subscript 4 end subscript superscript 2 end superscript comma C a to the power of 2 plus end exponent comma M g to the power of 2 plus end exponent$

How many of the following in drinking water below 30 ppm do not cause any effect on the body as per international standards of water? $P b to the power of 2 plus end exponent comma H g to the power of 2 plus end exponent comma M n to the power of 2 plus end exponent comma C d to the power of 2 plus end exponent comma C l comma N O subscript 3 end subscript superscript minus end superscript comma S O subscript 4 end subscript superscript 2 end superscript comma C a to the power of 2 plus end exponent comma M g to the power of 2 plus end exponent$

Chemistry-General

parallel

The algebraic sum of the perpendicular distances from points A (-2,0), B (0,2) and C(1,1) to a variable line be zero, then all such lines

The algebraic sum of the perpendicular distances from points A (-2,0), B (0,2) and C(1,1) to a variable line be zero, then all such lines

Vertices of a variable triangle are (3,4), (5cosθ, 5sinθ) and (5sinθ, -5cos θ), where θ $element of$ R Locus of it’s orthocentre is

Vertices of a variable triangle are (3,4), (5cosθ, 5sinθ) and (5sinθ, -5cos θ), where θ $element of$ R Locus of it’s orthocentre is

P and Q are two variable points on the axes of x and y respectively such that $open vertical bar O P close vertical bar plus open vertical bar O Q close vertical bar equals a$ , then the locus of the foot of the perpendicular from the origin on PQ is

P and Q are two variable points on the axes of x and y respectively such that $open vertical bar O P close vertical bar plus open vertical bar O Q close vertical bar equals a$ , then the locus of the foot of the perpendicular from the origin on PQ is

parallel

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