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JEE Advanced Optics — practice questions

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A circuit contains a single loop with one source and several elements as shown. Why does the sum of the listedWhich statement best describes the sign convention used when applying Kirchhoff's Voltage Law to a loop?In the current-junction figure, suppose $I_1$, $I_2$, and $I_3$ are entering the node while $I_4$, $I_5$, and Which pair correctly matches the law with its physical basis?A student traverses a closed loop and adds all voltage rises and drops with proper signs. If the final sum is If $V_1=1\,\text{V}$, $V_2=2\,\text{V}$, $V_3=1\,\text{V}$, $V_4=3\,\text{V}$, $V_5=2\,\text{V}$, $V_6=1\,\texFrom the loop equation $V_1+V_2+V_3+V_4+V_5+V_6+V_7-V_s=0$, the source voltage is equal toIn the loop shown in the figure, which expression matches Kirchhoff's Voltage Law as printed in the notes? ![Kirchhoff's Voltage Law is based on conservation ofAccording to Kirchhoff's Voltage Law, the algebraic sum of all potential differences around a closed loop isKirchhoff's Current Law is a direct consequence of conservation ofIf at a node $I_1=2\,\text{A}$, $I_2=3\,\text{A}$, $I_3=1\,\text{A}$ enter the junction and $I_4=4\,\text{A}$,Using the junction shown in the figure, which equation correctly represents Kirchhoff's Current Law? ![](httpAccording to Kirchhoff's Current Law, what is true at any junction in an electric circuit?Which of the following is a correct general form of Kirchhoff's Voltage Law for any closed loop, using signed In an ideal steady-state circuit, why can current not simply 'disappear' at a junction?Which statement best distinguishes Kirchhoff's Current Law from Kirchhoff's Voltage Law?Kirchhoff's Voltage Law for a loop is fundamentally a statement of conservation ofIf $S=f(t)$ is the displacement of a particle moving in a straight line, then acceleration isWhich of the following is a scalar quantity according to the notes?The table of displacement, velocity, and acceleration graphs includes a case of motion with constant velocity.In uniform circular motion of radius $r$ and speed $v$, the angular speed $\omega$ isThe trajectory equation of a projectile shows that its path is aA projectile is launched with initial speed $v_0$ at angle $\theta$. Its maximum height is given byFor a projectile launched with speed $v_0$ at angle $\theta$, the horizontal range isProjectile motion near the Earth's surface can be treated as two independent motions becauseWhich statement about the signs of $v$ and $v_0$ in vertical motion is correct?In free fall, if the upward direction is chosen as the positive $y$-axis, the velocity after time $t$ isA particle starts from rest and moves with constant acceleration $a$. Which expression gives its displacement For motion with constant acceleration, which equation directly relates final velocity $v$, initial velocity $vInstantaneous acceleration is best described asInstantaneous velocity $v(t)$ is given mathematically byWhich statement correctly distinguishes average velocity from average speed?The displacement of a particle moving along the $x$-axis from initial position $x_i$ to final position $x_f$ iWhat is the SI unit and nature of velocity according to the summary table?A ball is thrown vertically upward. If upward is taken as positive, which statement is correct for its motion A $5$ kg block rests on a frictionless horizontal surface. A constant horizontal force of $20$ N is applied toA person of mass $60$ kg stands on a weighing scale in a lift. The lift accelerates upward at $2$ m/s². What iA block of mass $10$ kg slides down an inclined plane that makes an angle of $37°$ with the horizontal. The coTwo blocks of masses $3$ kg and $5$ kg are connected by a light inextensible string passing over a smooth pullA $2$ kg block is pressed against a vertical wall by a horizontal force $F$. The coefficient of static frictioA monkey of mass $30$ kg climbs a vertical rope hanging from the ceiling with an upward acceleration of $2$ m/The critical angle for total internal reflection at a glass-air interface is $42^\circ$. The refractive index An object is placed $30\,\text{cm}$ in front of a concave mirror of focal length $20\,\text{cm}$. The image diTwo plane mirrors are inclined at an angle of $60^\circ$. The number of images of a point object placed betweeA convex mirror always forms an image of a real object that is:A point source of light is placed at the origin in an isotropic medium. The wavefronts associated with the ligWhen monochromatic light passes from vacuum into a medium of refractive index $\mu$:In a Young's double slit experiment, the slits are separated by $d = 0.5\,\text{mm}$ and the screen is $D = 1.In a two-slit interference pattern, dark fringes (destructive interference) occur where the path difference beIn a YDSE setup with slit separation $d$ and screen distance $D$, the wavelength of the light source is doubleFor two-source interference to produce a stable observable fringe pattern, the sources must be:Light of wavelength $500\,\text{nm}$ falls on a single slit of width $0.1\,\text{mm}$. The angular width of thNewton's FIRST law is also called the law of:Newton's SECOND law states:The SI unit of force is the:Frictional force between surfaces ALWAYS acts:Static friction f_s satisfies:Kinetic friction f_k is given by:For a body on a horizontal surface, the NORMAL FORCE N equals:In circular motion at radius r and speed v, the centripetal acceleration is:The ANGLE OF REPOSE φ is related to coefficient of friction by:A 5 kg object experiences a net force of 20 N. Find its acceleration:A 10 kg block on rough horizontal surface with μ_s = 0.3 just starts moving. Force applied:A block of mass 2 kg on a smooth incline at 30°. Acceleration down the incline (g = 10):A 1500 kg car accelerates from 0 to 30 m/s in 10 s. Average force on car:In a tug-of-war, team A pulls with 200 N, team B pulls oppositely with 250 N. The rope (light) experiences netNewton's THIRD law pair: when you push a wall, the wall pushes you. These forces:A block of mass 5 kg on a rough incline at 37° with μ_k = 0.4. Acceleration down (g = 10, sin 37° = 0.6, cos 3For a body on a 60° incline with μ = 0.5, the body:Two blocks: 3 kg ON TOP of 5 kg, μ between them = 0.5. The 5 kg block on smooth floor. Horizontal force F = 20An object's WEIGHT on Earth (g = 10) is 50 N. Its MASS is:A 5 kg block is pushed with 30 N along a frictionless surface. Acceleration:A massless pulley system has two blocks: m₁ = 6 kg and m₂ = 4 kg hanging on either side. Find acceleration of The angle of repose between a block and an incline is 30°. The coefficient of static friction is:A 100 g object is moving in a vertical circle. At the TOP of the loop, for minimum speed (string just slack), Limiting (max static) friction is INDEPENDENT of:A 2 kg block on rough incline at 45° with μ = 0.3. Determine if it stays at rest (g = 10, sin 45° = cos 45° = A 4 kg mass hangs from a spring scale in an elevator. Spring reads 32 N. The elevator is:A 3 kg block is pulled with F = 20 N at 30° above horizontal on rough surface (μ_k = 0.4). Find acceleration (In a uniform circular motion, the SPEED is constant but velocity changes direction. The acceleration:A car turns a corner of radius 50 m at 20 m/s. Minimum coefficient of friction needed (g = 10):A 50 kg person stands on a scale in an elevator accelerating UP at 2 m/s². Scale reading:Two equal masses (3 kg each) connected by a light string over a frictionless pulley. One on smooth horizontal A pendulum of mass m swings to amplitude angle θ. At the lowest point of swing, the TENSION in the string equaA car of mass 1000 kg moving at 36 km/h is stopped by brakes in 5 seconds. Average force exerted by brakes:Statement I: If the units of force, velocity and time are taken as fundamental units, then the dimensional forStatement I: The expression $ qrt{\frac{ke^2}{G}}$ has the same dimensions as power. Statement II: DimensionaNewton's first law of motion is also known as the law ofA cricket ball of mass 150 g moving at (3i+4j) m/s is hit to -(3i+4j) m/s. The magnitude of momentum change isConservation of linear momentum in a collision follows directly fromA force F acts on a 2 kg body for 3 s, changing its speed from 2 m/s to 8 m/s along the line of F. The magnituThe maximum static friction force on a body is f = μN. Static friction is best described asA 10 kg block on a frictionless surface is pulled by 20 N horizontally and 20 N at 60° above horizontal. The hImpulse equalsA body in equilibrium under several forces hasA 0.5 kg ball hits a wall at 10 m/s and rebounds at 10 m/s. The impulse on the ball isNewton's second law in vector form isA lift accelerates upward at 2 m/s². The apparent weight of a 50 kg person (g=10) isTwo blocks of 2 kg and 3 kg connected by a string are pulled by 10 N on the 3 kg block (frictionless). The accThe SI unit of force, the newton, equalsPer NCERT §4.5 (definition of momentum), the momentum p of a body of mass m moving with velocity v is which?Per NCERT §4.3 (frictionless horizontal surface), a body moving on it must do which?Per NCERT §4.5 (Summary 4), Newton's SECOND law in SI units states which relation?Per NCERT §4.5, the SI unit of force is the newton, with one newton equal to which value?Per NCERT §4.5 (Impulse), the IMPULSE J of a force F acting for time Δt equals which quantity?Per NCERT §4.5, a constant force applied for the SAME time to two bodies of different masses (initially at resPer NCERT §4.5, for a body of constant mass, the second law reduces to which form?Per NCERT §4.5, the impulse-momentum theorem states that the impulse on a body equals which quantity?Per NCERT §4.7, the total momentum of an ISOLATED system (no external force) is which?Per NCERT §4.7, conservation of momentum applies in which kind of collisions between two bodies?Per NCERT §4.6 (action and reaction labelling), which statement about the labels is true?Per NCERT §4.9.1, KINETIC (sliding) friction is approximately given by which relation?Per NCERT §4.9.1, the coefficients of static and kinetic friction satisfy which order?A gun of mass $4$ kg fires a bullet of mass $0.04$ kg at $300$ m/s. Recoil speed of the gun is: