List of practice Questions

The edge of an aluminium cube is $10 \,cm$ long. One face of the cube is firmly fixed to a vertical wall. $A$ mass of $100 \,kg$ is then attached to the opposite face of the cube. The vertical deflection of this face is (Shear modulus of aluminium = $25 GPa$, $g = 10\, m$ $s^{-2}$)
The ease of adsorption of the hydrated alkali metal' ions on an ion-exchange resins follows the order:
The ease of liquifiaction of noble gases decreases in the order
The eccentric angle of a point on the ellipse $\frac{x^2}{6}+\frac{y^2}{2}=1$ whose distances from the centre of the ellipse is 2, is
The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20 ?C and one bar will be released when 0.15 g of aluminium reacts?
The dynamic lift of an aeroplane is based on
The earth moves in an elliptical orbit with the sun S at one of foci as shown in the figure. Its rotational kinetic energy is maximum at the point
The domain of the function $cos^{-1}(2x - 1)$ is
The distance of the point P(a, b, c) from the x-axis is
The distance between the parallel lines $9x^2 - 6xy + y^2 +18x - 6y + 8 = 0$ is
The distance of distinct vision of a person is 50 cm. He wants to read a book place at 25 cm. What should be the focal length of the spectacles?
The distance of the midpoint of the line joining two points $(4, 0)$ and $(0, 4) $ from the centre of circle $ x^2 + r^2 = 16$ is
The displacement of a particle varies with time according to the relation $y = a \,sin\,\omega t + b\, cos \,\omega t$.
The displacement of a progressive wave is represented by $y=A\,sin\left(\omega t-kx\right) $ where $x$ is distance and $t$ is time. The dimensions of $\frac{\omega}{k}$ are same as those of
The dissociation constants of two acids $HA_1$ and $HA_2$ are $3.0\, \times \, 10^{-4}$ and $1.8\, \times \,10^{-5}$ respectively.The relative strengths of the acids will be
The dissolution of $ {Al(OH)_3}$ by a solution of NaOH results in the formation of
The dispersion medium in Gel is
The displacement of a particle from its mean position (in metre) is given by $y=0.2 \, sin (10\pi t+1.5 \pi) cos (10\pi t+1.5 \pi) $ The motion of the particle is
The direction of ray of light incident on a concave mirror is shown by $PQ$ while directions in which the ray would travel after reflection is shown by four rays marked $1, 2, 3$ and $4$. Which of the four rays correctly shows the direction of reflected ray?
The direction of the induced e.m.f. is determined by
The direction cosines l, m, n, of one of the two lines connected by the relations $l -5m+ 3n = 0, 7l^2 + 5m^2 -3n^2 = 0$ are
The direction cosines of a line passing through two points $P(x_1, y_1, z_1)$ and $Q(x_2, y_2, z_2)$ are
The direction of magnetic lines of force of a bar magnet is
The dimensions of the emf of a source of current are that of
The dimensions of ( velocity )$^2$ /radius are the same as that of