List of practice Questions

The disproportionation products of ortho phosphorous acid are:
In neutral medium potassium permanganate oxidizes \( I^- \) to \( X \). Identify \( X \).
Tropolone is an example for which of the following class of compounds?
Some substances are given below Ag: CO\(_2\) (s); SiO\(_2\) (s); ZnS (s) SO\(_2\) (s); A/N: HCl (s); H\(_2\)O (s) The number of molecular solids and network solids in the above list is respectively.
What is the conjugate base of chloric acid?
The correct order of decomposition temperature of \(MgCO_3\) (X), \(BaCO_3\) (Y), \(CaCO_3\) (Z) is:
Which one of the following is used as piezoelectric material?
Two statements are given below: I. In dry cleaning, the solvent \(Cl_2C\) = \(CCl_2\) was earlier used and now it is replaced by liquefied \(CO_2\).
II. In bleaching of paper, \(H_2O_2\) was used earlier and now it is replaced by chlorine gas.
A message signal of 3 kHz is used to modulate a carrier signal frequency 1 MHz, using amplitude modulation. The upper side band frequency and band width respectively are
A golf ball of mass ‘m’ has a speed of 50 m/s. If the speed can be measured within accuracy of 2\%, the uncertainty in the position is
A steady current is flowing in a metallic conductor of non-uniform cross section. The physical quantity which remains constant is
The rms velocity of a gas molecule of mass \( m \) at a given temperature is proportional to
In Young's double slit experiment, the intensity at a point where the path difference is \( \frac{\lambda}{6} \) ( \( \lambda \) being the wavelength of the light used) is \( I \). If \( I_0 \) denotes the maximum intensity, \( \frac{I}{I_0} \) is equal to
Maximum height reached by a rocket fired with a speed equal to 50\% of the escape speed from the surface of the earth is (R – Radius of the earth)
If ambient temperature is 300 K, the rate of cooling at 600 K is H. In the same surroundings, the rate of cooling at 900 K is
One mole of a gas having \( \gamma = \frac{7}{5} \) is mixed with one mole of a gas having \( \gamma = \frac{4}{3} \). The value of \( \gamma \) for the mixture is ( \( \gamma \) is the ratio of the specific heats of the gas)
A block of mass 1.5 kg kept on a rough horizontal surface is given a horizontal velocity of 10 ms\(^{-1}\). If the block comes to rest after travelling a distance of 12.5 m, the coefficient of kinetic friction between the surface and the block is (Acceleration due to gravity = 10 ms\(^{-2}\))
The solution of the differential equation \[ x dy - y dx = \sqrt{x^2 + y^2} dx \] when \( y(\sqrt{3}) = 1 \) is:
A 2 kg ball is thrown vertically upward and another 3 kg ball is projected with a certain angle (\( \theta \neq 90^\circ \)). Both will have the same time of flight. The ratio of their maximum heights is:
\(\int_{0}^{\pi}x \sin^4 x \cos^6 x dx = \)
The perpendicular distance from the point \( (-1,1,0) \) to the line joining the points \( (0,2,4) \) and \( (3,0,1) \) is:
The locus of the midpoints of the chords of the hyperbola \( x^2 - y^2 = a^2 \) which touch the parabola \( y^2 = 4ax \) is:
If the product of the eccentricities of the ellipse \( \frac{x^2}{16} + \frac{y^2}{b^2} = 1 \) and the hyperbola \( \frac{x^2}{9} - \frac{y^2}{16} = 1 \) is 1, then the value of \( b^2 \) is:
A bag contains 2 white, 3 green, and 5 red balls. If three balls are drawn one after the other without replacement, then the probability that the last ball drawn was red is:
If the roots of the equation \( x^3 - 13x^2 + Kx - 27 = 0 \) are in geometric progression, then \( K = \):