List of practice Questions

The cell potential for \(\text{Zn}|\text{Zn}^{2+}\text{(aq)}||\text{Sn}^{x+}|\text{Sn}\) is 0.801 V at 298 K.The reaction quotient for the above reaction is 10–2. The number of electrons involved in the given electrochemical cell reaction is _____. (Given: \(Eº_Zn^{2+}\)|Zn=-0.763V,Eºsnx+|sn=+0.008V and 2.303RT/F=0.06V)
Let the eccentricity of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) be \(\frac{5}{4}\). If the equation of the normal at the point \((\frac{8}{√5}, \frac{12}{5})\) on the hyperbola is 8√5 x + β y = λ, then λ – β is equal to ____.
The correct order of increasing ionic radii is
The \(\left(\frac{\partial E}{\partial T}\right)_p\) of different types of half cells are as follows:
ABCD
1 × 10-42 × 10-40.1 × 10-40.2 × 10-4

(Where E is the electromotive force)
Which of the above half cells would be preferred to be used as reference electrode?

The electric field at a point associated with a light wave is given by
E = 200[sin(6 × 1015)t + sin(9 × 1015)t] Vm–1
Given : h = 4.14 × 10–15 eVs
If this light falls on a metal surface having a work function of 2.50 eV, the maximum kinetic energy of the photoelectrons will be
The formula of the purple colour formed in Laissaigne’s test for sulphur using sodium nitroprusside is

The number of 5-digit natural numbers, such that the product of their digits is 36, is _____ .

The number of chiral alcohol(s) with molecular formula C4H10O is ____.
The number of solutions of the equation \(2\theta - \cos^2(\theta) + \sqrt{2} = 0\) in R is equal to ___________.
The total number of three-digit numbers, with one digit repeated exactly two times, is ______.

Using the rules for significant figures, the correct answer for the expression
\(\frac{0.02858 × 0.112}{ 0.5702}\)
will be

Water is being filled at the rate of 1 cm3/sec in a right circular conical vessel (vertex downwards) of height 35 cm and diameter 14 cm. When the height of the water level is 10 cm, the rate (in cm2/sec) at which the wet conical surface area of the vessel increase, is
What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?
Which of the following compound does not contain sulphur atom?
Which of the following is most stable?
Which of the following structures are aromatic in nature?
Which of the following structures are aromatic in nature
0.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127°C. The amount of heat required to double the speed of its molecules is ___ k cal.(Take R = 2 cal mol–1 K–1)
20 mL of 0.1 M NH4OH is mixed with 40 mL of 0.05 M HCl.The pH of the mixture is nearest to(Given :Kb(NH4OH) = 1×10–5,log2 = 0.30,log3 = 0.48, log5 = 0.69,log7 = 0.84,log11 = 1.04)
A \(0.5\ kg\) block moving at a speed of \(12\ ms^{–1}\) compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be _____ \(Nm^{–1}\).
 A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms–1. The coefficient of friction between the surface and block is 0.5. The distance covered by the block before coming to rest is[use g = 9.8 ms–2]

A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80 N.If the maximum speed with which the stone can revolve is k/π rev./min.The value of K is(Assume the string is massless and unstretchable)

A compound’A’ on reaction with ‘X’ and ‘Y’ produces the same major product but differentby product’a’ and ‘b’. Oxidation of’a’ gives a substance produced by ants.

A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10.0 cm mark the scale is found to be balanced at the 40.0 cm mark. The mass of the metre scale is found to be \(x\times 10^{-2}\) kg. The value of x is _________.
A projectile is projected with velocity of 25 m/s at an angle q with the horizontal. After t seconds its inclination horizontal becomes zero. If R represents horizontal range of the projectile, the value of q will be[use g = 10 m/s2]

A resistance of 40 Ω is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by the current to change from its maximum value to the rms value :