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Physics-

General

Easy

Question

The state of an ideal gas is changed through an isothermal process at temperature T0 as shown in figure. The work done by gas in going from state B to C is double the work done by gas in going from state A to B. If the pressure in the state B is $fraction numerator P subscript 0 end subscript over denominator 2 end fraction$ then the pressure of the gas in state C is :

$\frac{P_{0}}{2}$
$\frac{P_{0}}{4}$
$\frac{P_{0}}{6}$
$\frac{P_{0}}{8}$

The correct answer is: $fraction numerator P subscript 0 end subscript over denominator 8 end fraction$

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P-T diagram is shown below then choose the corresponding V-T diagram

P-T diagram is shown below then choose the corresponding V-T diagram

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A fixed container is fitted with a piston which is attached to a spring of spring constant k. The other end of the spring is attached to a rigid wall. Initially the spring is in its natural length and the length of container between the piston and its side wall is L. Now an ideal diatomic gas is slowly filled in the container so that the piston moves quasistatically. It pushed the piston by x so that the spring now is compressed by x. The total rotational kinetic energy of the gas molecules in terms of the displacement x of the piston is (there is vacuum outside the container)

A fixed container is fitted with a piston which is attached to a spring of spring constant k. The other end of the spring is attached to a rigid wall. Initially the spring is in its natural length and the length of container between the piston and its side wall is L. Now an ideal diatomic gas is slowly filled in the container so that the piston moves quasistatically. It pushed the piston by x so that the spring now is compressed by x. The total rotational kinetic energy of the gas molecules in terms of the displacement x of the piston is (there is vacuum outside the container)

Physics-General

The side of the cube is 'l' and point charges are kept at each corner as shown in diagram. Interaction electrostatic potential energy of all the charges is :

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Physics-General

parallel

For a given thermodynamic cyclic process, P – V indicator diagram is as shown in the figure. Process AB, BC & CA are isobaric, adiabatic & isothermal respectively. Then which of the following curve represent correct V – T indicator diagram for the process ABCA?

For a given thermodynamic cyclic process, P – V indicator diagram is as shown in the figure. Process AB, BC & CA are isobaric, adiabatic & isothermal respectively. Then which of the following curve represent correct V – T indicator diagram for the process ABCA?

Physics-General

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).

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).

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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

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parallel

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

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The beat frequency of the resulting sound wave is :

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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.

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

parallel

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

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.

parallel

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

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

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….

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

parallel

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