| Column - A | Column – B |
| 1. $\hat{i} \cdot \hat{j}=\hat{j} \cdot \hat{k}=\hat{k} \cdot \hat{i}=$ | (A) 1 |
| 2. $|\hat{i}|=|\hat{j}|=|\hat{k}|$ | (B) Proportional |
| 3. $(3 \hat{i}+4 \hat{j}-5 \hat{k})$. $(5 \hat{i}+4 \hat{j}+3 \hat{k})=$ | (C) 0(ZERO) |
| 4. Work done by the force acting perpendicular to the displacement is always | (D) 16 |
| 5. Work done (w) and heat generated (H) on a system are mutual | (E) Zero |
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| Column - A | Column - B |
| 1. Dimension of torque | (A) $Kg m^2 s^2$ |
| 2. $M ^1 L^{-1} T^{-2}$ is the dimension of | (B) mgh |
| 3. Write the dimensional unit of kinetic energy | (C) $M L^2$ |
| 4. The dimensional formula of I is | (D) $M ^1 L^2 T^{-2}$ |
| 5. Value of $\frac{1}{2} m v^2$ is equal to | (E) Power |
| A | B |
| 1. The value of angular frequency ( $\omega)$ is equal | (A) Square of amplitude and square of frequency |
| 2. What will be kinetic energy if maximum displacement $y= \pm A$ is taken ? | (B) $\frac{1}{2} T$ |
| 3. $\int_0^{ T } \cos ^2 \omega t d t$ The value of it will be : | (C) Zero |
| 4. In simple harmonic motion the total energy of the particle is proportional to: | (D) $K =\frac{ K _1 K_2}{K_1+ K _2}$ |
| 5. Series sequence is spring combination | (E) $\sqrt{\frac{k}{m}}$ |
| Column – A | Column - B |
| 1. Linear momentum $\overrightarrow{ P }=$ | (A) Newton, $M ^1 L^1 T^{-2}$ |
| 2. Having constant momentum $v \propto$ | (B) $m \stackrel{\rightharpoonup}{v}$ |
| 3. If $m _1< m _2$ then | (C) $\frac{t_2}{t_1}$ |
| 4. The unit and dimension of weight is | (D) $\vec{v}_1>\vec{v}_2$ |
| 5. $\frac{\overrightarrow{F_1}}{\overrightarrow{F_2}}$ | (E) $\frac{1}{m}$ |
| Column - A | Column – B |
| 1. Friction forces and viscous forces are | (A) Electrical energy |
| 2. The value of mathematical equaivalent of heat is | (B) $\frac{1}{2} I \omega^2$ |
| 3. Transformation of chemical energy takes place in a dry cell | (C) Non-conservative force |
| 4. The value of rotational kinetic energy of the body is | (D) Newton/meter |
| 5. The unit of spring constant 1S | (E) 4.2 J/calorie |
| Column - A | Column - B |
| 1. Potential energy changes | (A) $V _0=\sqrt{g R }$ |
| 2. The value of escape velocity (G) Zero for the Moon as compared to that of the Earth | (B) $+\frac{ GM m}{2 r}$ |
| 3. The value of orbital velocity will be | (C) $\frac{1}{5}$ times |
| 4. The period of revolution of a satellite orbiting near the Earth is | (D) In the form of a hyperbola |
| 5. The value of binding energy will be | (E) 84.6 minutes |
| Column - A | Column - B |
| 1. Position vector of a particle located at point $P$ is $\vec{r}=x \hat{i}+y \hat{j}+z \hat{k}$ the resultant of this $|\vec{r}|=$ | (A) $45^{\circ}$ |
| 2. A vector can be expressed as the product of its magnitude and unit vectorthen $\vec{A}=$ | (B) $\sqrt{x^2+y^2+z^2}$ |
| 3. When $\vec{P}$ and $\vec{Q}$ are in opposite directions then magnitude of $\vec{R} \ldots$. | (C) 1 |
| 4. The sum of squares of all three direction cosines of a vector is always, | (D) $\hat{n}|\overrightarrow{A}|$ |
| 5. The value of $\theta$ for maximum range in $R =\frac{u^2 \sin 2 \theta}{g}$ should be | (E) Minimum |
| Column - A | Column - B |
| 1. The wheels of moving vehicles are made hollow in the middle and thick on the periphery because: | (A) $g \sin \theta$ |
| 2. When an object slides on a plane inclined at an angle of 0 to the horizontal, its accele- ration will be: | (B) An object with low moment of inertia |
| 3. What is the moment of inertia of a body relative to the axis passing through its center of mass? | (C) Mass remains the same but inertia increases. |
| 4. If two objects with unequal moment of inertia have the same angular momentum. then which object will have greater rotational kinetic energy? | (D) on mass |
| 5. Inertia only depends | (E) Minimum |
| Column – A | Column - B |
| 1. Value of $\overrightarrow{ F }_{12}+\overrightarrow{ F }_{21}$ will be | (A) Less |
| 2. The gravitational force between two 1 kg balls can be expected because it is very_________ . | (B) Towards the sun |
| 3. Centripetal force is applied on the planets which has a direction | (C) In the form of a hyperbola |
| 4. There is a relationship between gravitational acceleration (g) and universal constant G | (D) Zero |
| 5. Potential energy changes | (E) $g=\frac{4}{3} \pi R GP$ |
| A | B |
| 1. An example of non periodic motion is : | (A). Different equation of linear simple harmonic motion |
| 2. An example of harmonic motion is : | (B) Movement of electrons in the orbital of atom |
| 3. There is relation between frequency and period. | (C) $\frac{2 \pi}{\omega}$ |
| 4. $\frac{d^2 y}{d t^2}+\omega^2 y=0$ | (D) nT = 1 |
| 5. Time period T = | (E) Throwing the ball |
| A | B |
| 1. Which is the scale in which the freezing point is divided into 180 equal parts, taking the freezing point as 32°F and the steam point as 212°F? | (A) Charles's |
| 2. Which is the scale in which freezing point is considered to be 0°R and steam point is considered to be 80°R divided into 30 equal parts. Has been divided | (B) $K = C +$ 273.15 |
| 3. Temperature measured in any scale can be converted to temperature on another scale | (C) Fahrenheit scale |
| 4. Which is the equation by which if the temperature of one system is known the temperature of another system can be determined? | (D) rumor temperature |
| 5 The volume and pressure of a gas depend on temperature as per the rule | (E) $\frac{ T _1}{T_2}=\frac{ X _1}{ X _2}$ |