Physics 11 past paper 2022

Which of the following pairs has the same dimension?

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Briefly describe necessary conditions for **SHM** (Simple Harmonic Motion).

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Explain **vector and scalar products** of two vectors with neat diagrams.

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Which of the following is the base unit of pressure?

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From Stokes' law, the drag force can be expressed as $F_D = 6\pi\eta r v$, then find the dimensions of coefficient of viscosity $\eta$?

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Explain vector and scalar products of two vectors with neat diagrams.

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The number of **significant figures** in $0.000125010$ are:

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What is **torque**? Define torque as vector product of $\vec{r}$ and $\vec{F}$.

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Describe two conditions of equilibrium.

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The percentage uncertainty in the measurement of radius of a sphere is $1\%$. The error in the calculated value of its volume is:

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$\vec{A}$ and $\vec{B}$ are two mutually perpendicular vectors equal in magnitude. Show their sum and difference through **Head to Tail Rule** with neat diagram.

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Describe time of flight and range of projectile using diagram. Derive mathematical formulae for both.

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Two forces of magnitudes $F_{1}$ and $F_{2}$ acting at right angle to each other have a resultant of magnitude:

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For vector $\vec{A}$ show that $|\vec{A}|=\sqrt{A_{x}^{2}+A_{y}^{2}}$.

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What are the dimensions and units of **gravitational constant** $G$ in the formula $F=\frac{G m_{1} m_{2}}{r^{2}}$?

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If $A_x = A_y$, then the angle between vector $\vec{A}$ and x-axis is:

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Given $|\vec{A}| = 3.2$, $|\vec{B}| = 5.1$ and $\theta = 60^\circ$ between $\vec{A}$ and $\vec{B}$. Find $|\vec{A} \cdot \vec{B}|$ and $|\vec{A} \times \vec{B}|$.

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Show that $S = v_i t + \frac{1}{2} a t^2$ is dimensionally correct.

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The **distance covered** by a body in time $t$, starting from rest is:

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Find the **change in momentum** for an object subjected to a given force for a given time and state law of motion in terms of momentum.

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Explain and derive a mathematical relation for **Absolute Potential Energy**.

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If the magnitudes of dot and cross products of two vectors $\vec{A}$ and $\vec{B}$ are same, then angle between them will be:

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Briefly explain the circumstances in which velocity $\vec{v}$ and acceleration $\vec{a}$ of a car are: (a) Parallel (b) Anti-parallel.

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State and explain Bernoulli's Equation giving all details of it with diagram.

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The **horizontal range** of projectile is same for the angles:

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Two balls are projected in directions at $15^{\circ}$ and $45^{\circ}$ with the horizontal. If both attained the same range then find the **ratio of their initial speeds**.

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What is meant by **moment of inertia** of a body? Derive a formula for it.

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Distance covered by a freely falling body in 2 seconds will be:

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The horizontal range of a projectile is 4 times of its maximum height ($R = 4H$). What is its angle of projection?

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Show that earth's gravitational field is a conservative field.

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A ball of mass $100\text{ g}$ is thrown vertically upward at a speed of $25\text{ ms}^{-1}$. If no energy is lost, determine the **height** it would reach. (Loss in K.E = Gain in P…

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Calculate the **work done** in kilojoules in lifting a mass of $10\text{ kg}$ at a steady velocity through a vertical height of $10\text{ m}$?

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What is the aerofoil lift (in newtons) on a wing of area 88 m² if the air passes at speed over its top surface at 280 m·s⁻¹ and bottom surface at 150 m·s⁻¹? (Assume standard air de…

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A projectile is thrown at an angle of $30^\circ$ with horizontal with velocity $30\text{ ms}^{-1}$. Its time of flight is:

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When a rocket re-enters the atmosphere, its nose cone becomes very hot. Where does this heat energy come from?

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The earth rotates on its axis once a day so that its original period $T_1 = 24\text{ hours}$. Suppose, by some process the earth expands so that the radius becomes double as large…

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The mass of a body is $m$, its speed is $v$ and K.E is $E$. When mass is doubled and its speed is reduced to half, then K.E will be:

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If radius of moon is $\frac{1}{6}$ times radius of earth and gravity on moon is $\frac{1}{5}$ times gravity on earth, then find the **escape velocity** at the surface of moon?

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Explain **Doppler's effect** in detail with its special cases.

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The escape velocity from the surface of the earth is approximately:

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Express power ($P$) as scalar product of force ($\vec{F}$) and velocity ($\vec{v}$).

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Show that motion of a simple pendulum is SHM. Derive formulae for its time period.

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The **angular displacement** of one radian is:

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Show that **angular momentum** $L=mvr$.

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The radius of sphere '$r$' is measured with a Vernier Callipers as $(r \pm \Delta r) = (2.25 \pm 0.01)\text{ cm}$. Calculate the **volume of sphere**.

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The angle subtended at the center of a circle by an arc equal to its radius is:

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Derive a mathematical relation for orbital velocity and prove that $v_o \propto \frac{1}{\sqrt{r}}$.

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The ratio of the **linear velocities** of the points at distances $r$ and $\frac{r}{4}$ from the axis of rotation of a rigid body is:

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Find the relation between linear velocity and angular velocity.

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A **Carnot engine** utilizes an ideal gas. The source temperature is $227^{\circ}\text{C}$ and sink temperature is $127^{\circ}\text{C}$. Find the efficiency of the engine. Also fi…

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Which of the following is **TRUE** for orbital velocity?

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A circular disc of 49 kg and radius 50 cm is rotating at a speed of 120 rev/min. Calculate its K.E?

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Derive $C_p - C_v = R$.

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Two rain drops have radii in the ratio $2:3$. The ratio between their terminal velocities will be:

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Discuss working principle of aerofoil.

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A 2 m high tank is full of water. If a hole appears at its middle, then the speed of efflux is:

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Explain how swing is produced in a fast moving cricket ball? (**Bernoulli effect**)

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The length of a **second pendulum** is:

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Show that in **SHM**, the acceleration is zero when the velocity is greatest and the velocity is zero when the acceleration is greatest.

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For what displacement does the P.E. become one-fourth of its maximum value?

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What is meant by banking of roads? Also show that $v = \sqrt{gr \tan \theta}$.

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When **amplitude** of a wave becomes double, its energy becomes:

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Discuss the interchanging between K.E. and P.E. during SHM.

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A simple pendulum suspended from the ceiling of a lift has time period $T$, when the lift is at rest. When the lift falls freely, the time period is:

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The deviation of second order diffracted image formed by an optical grating having $5000\text{ lines/cm}$ is $32^\circ$. Calculate the wavelength of light used.

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According to **Laplace correction**, sound travels in air under the condition of:

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As a result of distant explosion, an observer senses a ground tremor and then hears the explosion. Explain the time difference in it.

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Increase in velocity of sound in air for $1^\circ\text{C}$ rise in temperature is:

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A body of mass $m$ suspended from a spring with force constant $k$, vibrates with frequency $f_1$. When the spring's length is cut into half and the same body is suspended from one…

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The velocity of sound in air would become double to its velocity at 0°C at temperature:

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The speed of sound in air at $0^{\circ}\text{C}$ is $332\text{ ms}^{-1}$. What will be its speed at $25^{\circ}\text{C}$?

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The distance between two consecutive crests or troughs is equal to:

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Why does sound travel faster in solids than in gases?

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Fringe spacing =

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Under what conditions do two or more sources of light behave as coherent sources?

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It is possible to distinguish between transverse and longitudinal waves from the property of:

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What will be the wavelength of the note emitted by a closed organ pipe $32.4\text{ cm}$ long at $0^\circ\text{C}$?

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In Young's double slit experiment, if the distance between the slits is halved and distance between slit and screen is doubled, then find the change in fringe width?

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Prove that speed of sound through Hydrogen is 4 times as compared to its speed in Oxygen. Whereas $\rho_{\text{Hydrogen}} : \rho_{\text{Oxygen}} = 1 : 16$.

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A Carnot engine works between ice point and steam point. Its efficiency will be:

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A garden hose of inner radius $1.25\text{ cm}$ carries water at $2.60\text{ ms}^{-1}$. The nozzle at the end has radius $0.30\text{ cm}$. How fast does the water emerge out through…

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An oil film spreading over a wet footpath shows colours. Explain how does it happen?

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Show that $\frac{n_{2}}{n_{1}}=\tan i_{p}$ (polarization of transverse waves).

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If the Young's double slit experiment is performed in water, what will happen to the interference pattern?

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Is it possible to convert **internal energy** ($\Delta U$) into mechanical energy? Explain with an example.

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Briefly explain the working principle of Carnot engine.

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Describe the terms **'specific heat'** and **'molar specific heat'** of gases.

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Discuss that increase in entropy means degradation of energy.

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