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JEE 2020: Weekly Quiz 9 (13.07.2019)
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Question 1
At what points of the curve tangent makes the equal angle with axis
Question 2
The curve that passes through the point (2, 3), and has the property that the segment of any tangent to it lying between the coordinate axes is bisected by the point of contact is given by:
Question 3
Angle between the tangents to the curve at the points (2, 0) and (3, 0) is
Question 4
The tangent to the curve, passing through the point (1, e) also passes through the point :
Question 5
If θ denotes the acute angle between the curves, y=10 - x2 and y=2 + x2at a point of their intersection, then |tan θ| is equal to:
Question 6
Find the value of when Rolle’s Theorem is applied to the function.
Question 7
A function f(x) has the property f(a)=f(b), for ∀a, b…∈..1 and a+b=20 then which of the following even degree polynomials could be f(x).
Question 8
For second degree polynomial it is seen that the roots are equal. Then what is relation between the rolle’s point c and the root x.
Question 9
If A(x1,y1) and B(x2,y2) are two points on the curve y = , then C is a point where the tangent is parallel to chord AB. Which of the following is true ?
Question 10
If Rolle’s theorem holds for the function , at the point , then equals:
Question 11
If work done by a gas is 142.8 J when heat given to the gas in isobaric process is 500 J, then the gas is
Question 12
For ideal gas, for isothermal expansion which of the following is correct?
Question 13
What will be the internal energy when a gas expands isothermally in a constant external pressure of 1atm from 10dm3 to 20 dm3 if it gains 500J of energy during the process?
Question 14
Based on first law of thermodynamics, which one of the following is correct?
Question 15
Two moles of a gas at 1 bar and 298 K are compressed at constant temperature by use of a constant pressure of 5 bar. If the compression is driven by a 100 kg mass, then the mass will fall in the gravitational field of Earth to a height of
Question 16
In which of the following reactions, standard reaction entropy changes is positive and standard Gibb's energy change decreases sharply with increasing temperature?
Question 17
The values of ∆H and ∆S for the reaction are 170kJ and 170J/K respectively for the following reaction.
C (graphite) + CO2 (g) 2CO (g). Then the reaction will be spontaneous at?
C (graphite) + CO2 (g) 2CO (g). Then the reaction will be spontaneous at?
Question 18
For the formation of nitrogen dioxide, ∆H=-110kJ and ∆S=-150J/K at 700K; At what free energy change does the reaction become spontaneous?
Question 19
The temperature at which the given reaction is at equilibrium
Ag2O(s) →2Ag(s) + 1/2O2
ΔH = 30.5 KJ/ mol and ΔS =0.066 KJ/ mol K
Ag2O(s) →2Ag(s) + 1/2O2
ΔH = 30.5 KJ/ mol and ΔS =0.066 KJ/ mol K
Question 20
Colloids are said to exhibit few properties unique to themselves. The scattering of light by a colloid when a beam passes through it is termed as
Question 21
At temperature T, N molecules of gas A each having mass m and at the same temperature 2N molecules of gas B each having mass 2m are filled in a container. The mean square velocity of molecules of gas B is v2 and mean square of x component of velocity of molecules of gas A is w2. The ratio of w2/v2 is :
Question 22
Five moles of helium are mixed with two moles of hydrogen to form a mixture. Take molar mass of helium M1 = 4g and that of hydrogen M2 = 2g. The equivalent value of is
Question 23
Supposing the distance between the atoms of a diatomic gas to be constant, its specific heat at constant volume per mole (gram mole) is
Question 24
The ratio of specific heat of a gas is 9/7, then the number of degrees of freedom of the gas molecules for translational motion is :
Question 25
One mole of an ideal gas is contained with in a cylinder by a frictionless piston and is initially at temperature T. The pressure of the gas is kept constant while it is heated and its volume doubles. If R is molar gas constant, the work done by the gas in increasing its volume is
Question 26
If heat is added at constant volume, 6300 J of heat is required to raise the temperature of an ideal gas by 150 K. If instead, heat is added at constant pressure, 8800 joules are required for the same temperature change. When the temperature of the gas changes by 300K, the internal energy of the gas changes by
Question 27
A polyatomic gas with six degrees of freedom does 25 J of work when it is expanded at constant pressure. The heat given to the gas is
Question 28
A perfect gas is found to obey the relation PV3/2 = constant, during an adiabatic process. If such a gas, initially at a temperature T, is compressed adiabatically to half’ its initial volume, then its final temperature will be
Question 29
A cyclic process ABCA is shown in PT diagram. When presented on PV, it would
Question 30
Three processes compose a thermodynamics cycle shown in the PV diagram. Process 1 → 2 takes place at constant temperature. Process 2 → 3 takes place at constant volume, and process 3 → 1 is adiabatic. During the complete cycle, the total amount of work done is 10 J. During process 2 → 3, the internal energy decrease by 20J and during process 3 → 1, 20 J of work is done on the system. How much heat is added to the system during process 1 → 2 ?
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Sep 27JEE & BITSAT