List of practice Questions

The surface of a metal is first illuminated with a light of wavelength 300 nm and later illuminated by another light of wavelength 500 nm. It is observed that the ratio of maximum velocities of photoelectrons in two cases is 3. The work function of the metal value is close to:

Consider the following reactions:

Y and Z respectively are:

The ratio of the minimum wavelength of the Balmer series to the maximum wavelength in the Brackett series in the hydrogen spectrum is:

The incorrect statement about 'B' is:

The half-life period of a radioactive element A is 62 years. It decays into another stable element B. An archaeologist found a sample in which A and B are in 1 : 15 ratio. The age of the sample is:

The conversion of X to Y is:

A block of mass 18.5 kg kept on a smooth horizontal surface is pulled by a rope of 3 m length by a horizontal force of 40 N applied to the other end of the rope. If the linear density of the rope is 0.5 kgm$^-1$ and initially the block is at rest, the time in which the block moves a distance of 9 m is

A man of mass 70 kg jumps to a height of 0.8 m from the ground, then the momentum transferred by the ground to the man is
(g = 10 m/s$^{-2}$):

The length of the tangent drawn from the point $ \left(\frac{k}{4}, \frac{k}{3}\right) $ to the circle $ x^2 + y^2 + 8x - 6y - 24 = 0 $ is:

Evaluate the expression \[ 2 \cot h^{-1}(4) + \sec h^{-1}\left( \frac{3}{5} \right). \]

In the given circuit, the potential difference across the 5 $\mu$F capacitor is

If $ (a, \beta) $ is the orthocenter of the triangle with the vertices $ A(2, 5), B(1, 5), C(1, 4) $, then $ a + \beta = $:

If $ a $ is a rational number, then the roots of the equation $ x^2 - 3ax + a^2 - 2a - 4 = 0 $ are:

Evaluate the integral $$ I = \int_1^5 \left( |x - 3| + |1 - x| \right) \, dx $$

If $ x $ is real and $ \alpha, \beta $ are maximum and minimum values of $ \frac{x^2 - x + 1}{x^2 + x + 1} $ respectively, then $ \alpha + \beta = $:

The following data is obtained for coagulating a positively charged sol in 2 hours:

What is the coagulating value of electrolyte for this sol?

Pseudocyesis is found in:

Three particles of each mass $ m $ are kept at the three vertices of an equilateral triangle of side $ 1 $. The moment of inertia of the system of the particles about any side of the triangle is:

Which of the following molecules is not having glycosidic linkage?

Simplify the expression: $ 4 + \frac{1}{4 + \frac{1}{4 + \frac{1}{4 + \cdots}}} $

If the work done $W$, length $L$ and time $T$ are considered as the fundamental quantities, the dimensional formula for mass is:

The relation between the force (F in newton) acting on a particle executing simple harmonic motion and the displacement of the particle (y in metre) is given by: \[ 500F + \pi^2 y = 0 \] If the mass of the particle is 2 g, the time period of oscillation of the particle is:

The RMS value of the electric field of an electromagnetic wave emitted by a source is $ 660 $ N/C. The average energy density of the electromagnetic wave is:

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