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Match List-I with List-II. **List-I (Material)** (A) Diamagnet (B) Paramagnet (C) Soft ferromagnet (D) Hard ferromagnet **List-II (Example)** (I) Alnico (II) Copper (III) Aluminium (IV) Gadolinium Choose the correct answer from the options given below:
An iron bar of length $L$ has a magnetic moment $M$. It is bent at the middle of its length such that the two arms make an angle $60^{\circ}$ with each other. The magnetic moment of this new magnet is:
A block of mass $50 \text{ kg}$ slides over a horizontal distance of $1 \text{ m}$. If the coefficient of friction between their surfaces is $0.2$, then work done against friction is:
Force F on a particle moving in a straight line varies with distance d as shown in the figure. The work done on the particle during its displacement of 12 m is
A uniform force of $(3\hat{i} + \hat{j}) \text{ N}$ acts on a particle of mass $2 \text{ kg}$. Hence the particle is displaced from position $(2\hat{i} + \hat{k}) \text{ m}$ to position $(4\hat{i} + 3\hat{j} - \hat{k}) \text{ m}$. The work done by the force on the particle is:
The best suited curve showing the variations of susceptibility ($\chi$) of a paramagnetic material in free space with temperature ($T$) is:
Ionized hydrogen atoms and $\alpha$-particles with same momenta enters perpendicular to a constant magnetic field, B. The ratio of their radii of their paths $r_H : r_\alpha$ will be :
The minimum work done in pulling up a block of wood weighing $2 \text{ kN}$ for a length of $10 \text{ m}$ on a smooth plane inclined at an angle of $15^\circ$ with the horizontal is (given $\sin 15^\circ = 0.2588$):
The cylindrical tube of a spray pump has radius $R$, one end of which has $n$ fine holes, each of radius $r$. If the speed of the liquid in the tube is $v$, the speed of the ejection of the liquid through the holes is:
A U-tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of $10 \text{ mm}$ above the water level on the other side. Meanwhile, the water rises by $65 \text{ mm}$ from its original level (see diagram). The density of the oil is:
Three liquids of densities $\rho_1, \rho_2$ and $\rho_3$ (with $\rho_1 > \rho_2 > \rho_3$), having the same value of surface tension $T$, rise to the same height in three identical capillaries. The angles of contact $\theta_1, \theta_2$ and $\theta_3$ obey:
A force acts on a $30 \text{ gm}$ particle in such a way that the position of the particle as a function of time is given by $x = 3t - 4t^2 + t^3$, where $x$ is in metres and $t$ is in seconds. The work done during the first $4 \text{ seconds}$ is:
An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, $1\text{ kg}$ first part moving with a velocity of $12\text{ m s}^{-1}$ and $2\text{ kg}$ second part moving with a velocity of $8\text{ m s}^{-1}$. If the third part flies off with a velocity of $4\text{ m s}^{-1}$, its mass would be:
Symbolic representation of four logic gates are shown. Pick out which ones are for AND, NAND and NOT gates, respectively.
The cylindrical tube of a spray pump has radius $R$, one end of which has $n$ fine holes, each of radius $r$. If the speed of the liquid in the tube is $v$, then the speed of ejection of the liquid through the holes will be:
The potential energy between two atoms in a molecule is given by $U(x) = \frac{a}{x^{12}} - \frac{b}{x^6}$, where $a$ and $b$ are positive constants and $x$ is the distance between the atoms. The atoms are in stable equilibrium when:
The approximate depth of an ocean is $2700\text{ m}$. The compressibility of water is $45.4 \times 10^{-11}\text{ Pa}^{-1}$ and density of water is $10^3\text{ kg/m}^3$. What fractional compression of water will be obtained at the bottom of the ocean?
A wind with speed $40 \text{ m/s}$ blows parallel to the roof of a house. The area of the roof is $250 \text{ m}^2$. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be: $(\rho_{air}=1.2 \text{ kg/m}^3)$
Water rises to a height $h$ in a capillary tube. If the length of the capillary tube above the surface of water is made less than $h$, then:
Which one of the following compounds is a peroxide?