List of practice Questions

The potential energy of a particle $4(U_x)$ executing SHM is given by

The potential energy of a spring when stretched through a distance $x$ is $10\, J$. What is the amount of work done on the same spring to stretch it through an additional distance $x$ ?

The potential at a point P due to an electric dipole is $1.8 \times 10^5 \, V$. If P is at a distance of 50 cm apart from the centre O of the dipole and if CP makes an angle 60? with the positive side of the axial line of the dipole, what is the moment of the dipole?

The potential difference between the points $A$ and $B$ in the adjoining circuit diagram will be

The position of an object moving along $x$-axis is given by $x = a + bt^2$, where $a = 8.5 \,m$ and $b = 2.5\, m \,s^{-2}$ and $t$ is measured in seconds. The instantaneous velocity of the object at $t = 2\,s$ is

The position of the centre of mass of a cube of uniform mass density will be at

The polyestrous mammal is

The Poisson?? ratio of the material is 0.5. If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by 4%. The percentage increase in its length is

The poisson's ratio cannot have the, value

The points $ 0, 2 + 3i, i, - 2 - 2i $ in the argand plane are the vertices of a

The points $A(3,2,0)$, $B(5,3,2)$ and $C(0,2,4)$ are the vertices of a triangle. Find the distance of the point $A$ from the point in which the bisector of $??AC$ meets $[BC]$.

The point $(4, 1)$ undergoes the following two successive transformations : (i) Reflection about the line $y = x$. (ii) Translation through a distance of $2$ units along the positive $x$-axis. Then the final coordinates of the point are

The point of intersection of the lines $\frac{x-5}{3}=\frac{y-7}{-1}=\frac{z+2}{1}$; $\frac{x+3}{-36}=\frac{y-3}{2}=\frac{z-6}{4}$ is

The point of temperature inversion between troposphere and ionosphere is called

The point (4, 1) undergoes the following three transformations successively I. Reflection about the line y = x. II. Transformation through a distance 2 units along the positive direction of X-axis. III. Rotation through an angle $\frac{\pi}{4}$ about the origin in the counter clockwise direction. Then, the final position of the point is given by the coordinates

The point $(-2, -3, -4)$ lies in the

The point $(2t^2 + 2t + 4, t^2 + t + 1)$ lies on the line x + 2y = 1 for

The plant cell shrink when placed in a

The plant groups proposed by Aristotle in his classification were

The plane XOZ divides the join of $(1, -1, 5) $ and $(2, 3, 4)$ in the ratio $\lambda :1$ then $\lambda$ is

The plane passing through the point (-2, -2, 2) and containing the line joining the points (1, 1, 1) and (1, -1, 2) makes intercepts on the coordiantes axes, the sum of whose lengths is

The pitch of a screw gauge is $0.5\, mm$ and there are $100$ divisions on it circular scale. The instrument reads $+2$ divisions when nothing is put in between its jaws. In measuring the diameter of a wire, there are $8$ divisions on the main scale and $83^{rd}$ division coincides with the reference line. Then the diameter of the wire is

The $_pK_a$ of acetylsalicylic acid (aspirin) is $3.5$.The $H$ of gastric juice in human stomach is about $2.3$ and the $pH$ in the small intestine is about $8$. Aspirin will be

The piston in the cylinder head of a locomotive has a stroke of $6 \,m$. If the piston executing simple harmonic motion with an angular frequency of $200 \,rad\, min^{-1}$ , its maximum speed is

The physical quantity which has dimensional formula as that of $\frac{Energy}{Mass \,\times\, Length}$ is