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JEE 2020: Weekly Quiz 10 (14.07.2019)
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Question 1
Select the interval for which satisfies Rolle’s theorem.
Question 2
If the function follows Rolle’s Theorem in the range , find the value of c.
Question 3
For which interval Rolle’s theorem is valid for ?
Question 4
If satisfies Rolle’s theorem in ,find the value of a,b. The total of a and b is 9.
Question 5
Find the value of c for which holds Rolle’s Theorem in the interval .
Question 6
If Rolle's theorem for f(x) = ex (sinx - cosx) is verified on [π/4 , 5π/4] then the value of c is
Question 7
The coordinates of the feet of normals drawn from the point (14,7) to the curve y2 – 16x – 8y = 0 are
Question 8
The curves a + b = 1 and c + d = 1 cut each other orthogonally if,
Question 9
Slopes of tangents through (7,1) to the circle + = 25 satisfy the equation
Question 10
The sum of the squares of the intercepts on the axes of the tangent at any point on the curve is
Question 11
The dissociative chemisorptions of X2 (g) on a metal surface follows Langmuir adsorption isotherm. The ratio of the rate constant of the adsorption and desorption processes is 9 atm-1. The fractional surface coverage of X(adsorbed) at 1.0 atm pressure is:
Question 12
At 273K and 10 bar the Langmuir adsorption of as gas on a solid surface gave the fraction of surface coverage as 0.01. The Langmuir adsorption isotherm constant___________ bar-1
Question 13
In the freundlich adsorption isotherm, the y-intercept of log(x/m) - log(c) graph turns out to be
(Here, x = mass of adsorbate, m = mass of adsorbent, p = Equilibrium pressure of adsorbate, c = Equilibrium concentration of adsorbate in solution):
(Here, x = mass of adsorbate, m = mass of adsorbent, p = Equilibrium pressure of adsorbate, c = Equilibrium concentration of adsorbate in solution):
Question 14
Select correct statement from the following -
Question 15
Which of the following is a lyophilic colloid
Question 16
Adsoption of CO charcoal at 273K follow Langmuir isotherm. A plot of p (kPa)/V (cm3) versus p (kPa) is linear with a slope of 0.01 and y- intercept of 0.5. The equilibrium constant, K(kPa-1), for the adsorption is :
Question 17
The values of ΔH and ΔS for the reaction, C(graphite) +CO2(g)→2CO(g) are 170 kJ and 170 JK-1, respectively. This reaction will be spontaneous at
Question 18
Standard entropies of X2, Y2 and XY3 are 60, 40 and 50JK-1mol-1 respectively. For the reaction
to be at equilibrium, the temperature should be
to be at equilibrium, the temperature should be
Question 19
Which one of the following is a free radical substitution reaction?
Question 20
Different quantities are used to determine whether a reaction is spontaneous or not. The quantity that helps us to connect the energy released during a reaction to its degree or disorderness is:
Question 21
If 𝒱rms = root mean square speed of molecules,
𝒱av = average speed of molecules.
𝒱mp = most probable speed of molecules,
𝒱 = speed of sound in a gas
Then, identify the correct relation between these speeds.
Question 22
If one mole of a monatomic gas (γ = 5/3) is mixed with one mole of a diatomic gas (γ = 7/5), the value of γ for the mixture is :
Question 23
Which of the following quantities is the same for all ideal gases at the same temperature ?
Question 24
When an ideal diatomic gas is heated at constant pressure the fraction of the heat energy supplied which increases the internal energy of the gas is:
Question 25
For a solid with a small expansion coefficient,
Question 26
Fig shows a process on a gas in which pressure and volume both change. The molar heat capacity for this process is C.
Question 27
For an ideal gas, the heat capacity at constant pressure is larger than that at constant volume because
Question 28
The molar heat capacity for the process shown in fig. is
Question 29
Four curves A, B, C and D are drawn in the fig. for a given amount of gas. The curves which represent adiabatic and isothermal changes are
Question 30
In the following P-V diagram of an ideal gas, two adiabates cut two isotherms at T1 and T2. The value of VB/VC is
AB → T1, DC → T2
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Oct 6JEE & BITSAT