Physics MCQs

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

How is the focal length ($f$) related to the radius of curvature ($r$) in a spherical convex mirror?

  • $f = \frac{r}{2}$ (correct)
  • $f = -\frac{r}{2}$
  • $f = r$
  • $f = -r$

What characteristic remains constant when a longitudinal wave travels through a medium, causing particles to oscillate harmonically?

  • Difference between kinetic and potential energies
  • Total mechanical energy (correct)
  • Kinetic energy
  • Potential energy

A 5 kg object is thrown upwards with air resistance providing a constant 10 N retarding force. What is the ratio of the ascent time to the descent time? (Use $g = 10 m/s^2$)

  • 2:3
  • 1:1
  • $\sqrt{2}:\sqrt{3}$ (correct)
  • $\sqrt{3}:\sqrt{2}$

Temperature scales P and Q have 150 and 100 equal divisions, respectively, between fixed points. If $T_P$ and $T_Q$ denote temperatures on the two scales, which conversion formula is correct?

<p>$\frac{T_P - 30}{150} = \frac{T_Q}{100}$ (D)</p> Signup and view all the answers

In a uranium radioactive series, $^{238}{92}U$ decays to $^{206}{82}Pb$. How many alpha and beta particles are emitted in this process?

<p>8$\alpha$, 6$\beta$ (D)</p> Signup and view all the answers

A container holds 1 mole of oxygen and 2 moles of nitrogen at 300 K. What is the ratio of the average rotational kinetic energy per oxygen molecule to that per nitrogen molecule?

<p>1:1 (D)</p> Signup and view all the answers

Two organ pipes of same length and material have different radii. When emitting fundamental notes, which pipe produces a note of smaller frequency?

<p>Broader pipe (A)</p> Signup and view all the answers

The position of an electron moving along the x-axis is given by $x = 20te^{-t}$ m. How far from the origin does the electron momentarily stop?

<p>$\frac{20}{e} m$ (D)</p> Signup and view all the answers

The electric potential at a point P due to a point charge of $5 \times 10^{-9}$ C is 50 V. What is the distance of P from the charge? (Assume $\frac{1}{4\pi\epsilon_0} = 9 \times 10^9 Nm^2C^{-2}$)

<p>90 cm (A)</p> Signup and view all the answers

In Young's double-slit experiment, the intensity at a point is $\frac{1}{4}$ of the maximum intensity. What is the angular position of this point?

<p>$\sin^{-1}(\frac{\lambda}{3d})$ (A)</p> Signup and view all the answers

A projectile is launched at 30° from the horizontal with an initial velocity of 40 m/s. What is its velocity 2 seconds after launch? (Assume $g = 10 m/s^2$)

<p>$20\sqrt{3}$ m/s (A)</p> Signup and view all the answers

The displacement of a particle is given by $y = 3\cos(\frac{\pi}{4} - 2\omega t)$. What type of motion does the particle exhibit?

<p>Simple harmonic with period $\frac{\pi}{\omega}$ (A)</p> Signup and view all the answers

A monochromatic neon lamp with wavelength 670.5 nm has a stopping voltage of 0.48 V on a photosensitive material. What is the stopping voltage if the wavelength is changed to 474.6 nm?

<p>1.25 V (A)</p> Signup and view all the answers

A stone of mass $m$ is tied to a string of length $l$ and rotated in a circular path at constant speed $v$. What is the torque on the stone?

<p>Zero (D)</p> Signup and view all the answers

A spring with spring constant $k$ is hung from the ceiling, and a mass $M$ is attached, released from an unstretched position. What is the maximum extension in the spring?

<p>$\frac{2Mg}{k}$ (A)</p> Signup and view all the answers

If E, L, M, and G represent energy, angular momentum, mass, and gravitational constant, respectively, what are the dimensions of P in the formula $P = \frac{EL^2}{M^5G^2}$?

<p>[M$^0$L$^0$T$^0$] (D)</p> Signup and view all the answers

A 70 kg garden roller is pushed with a 200 N force at 30° to the horizontal. What is the normal reaction force on the roller? (Assume $g = 10 m/s^2$)

<p>800 N (B)</p> Signup and view all the answers

A convex lens is in contact with a concave lens. The magnitude of the ratio of their powers is $\frac{2}{3}$. If their equivalent focal length is 30 cm, what are their individual focal lengths (in cm)?

<p>-15, 10 (A)</p> Signup and view all the answers

A capillary tube is dipped in a water vessel in a lift accelerating upwards at 2g. How does the water rise in the tube compared to normal conditions?

<p>One third of normal height (D)</p> Signup and view all the answers

A particle moves under a force $F = Cx$ from $x = 0$ to $x = x_1$. What is the work done?

<p>$\frac{1}{2}Cx_1^2$ (D)</p> Signup and view all the answers

A vessel of depth 'd' is half-filled with oil (refractive index $n_1$) and half with water (refractive index $n_2$). What is the apparent depth when viewed from above?

<p>$\frac{d (n_1 + n_2)}{2 n_1 n_2}$ (C)</p> Signup and view all the answers

Metallic spheres A and B, identical in mass, are given equal amounts of positive and negative charge, respectively. How are their masses affected?

<p>Mass of B decreases (D)</p> Signup and view all the answers

An insect climbs a hemispherical ditch of radius 1 m. It slips after reaching height h. If the friction coefficient is 0.75, what is h?

<p>0.20 m (D)</p> Signup and view all the answers

What is the equivalent capacitance of two capacitors in series, both with capacitance C, connected in series with another capacitor of value C?

<p>2C (D)</p> Signup and view all the answers

If eight identical mercury drops with equal charge combine, how does the capacitance of the bigger drop compare to each small drop?

<p>2 times (B)</p> Signup and view all the answers

A ball of mass M strikes a ball of mass m at rest. They separate perpendicularly. What is the coefficient of impact (e)?

<p>$\frac{M}{m}$ (D)</p> Signup and view all the answers

For a gas with linearly changing pressure and volume (no heat exchange), what is the change in internal energy?

<p>4.5 J (B)</p> Signup and view all the answers

Hydrogen atoms in the ground state are excited by 12.1 eV photons. How many spectral lines will be emitted, according to Bohr's theory?

<p>Three (A)</p> Signup and view all the answers

Two circular rings, A and B, have the same mass but radii $r$ and $2r$ respectively. What is the ratio of the moment of inertia of A to that of B, about an axis through their center of gravity and perpendicular to their plane?

<p>$\frac{1}{4}$ that of B (A)</p> Signup and view all the answers

A planet has a mass 9 times Earth's and a radius 4 times Earth's. What is its escape velocity in km/s, given Earth's is 11.2 km/s?

<p>16.8 (C)</p> Signup and view all the answers

In a Wheatstone bridge, three arms have resistances P, Q, and R. The fourth has parallel resistors $S_1$ and $S_2$. What is the balanced bridge condition?

<p>$\frac{P}{Q} = \frac{R(S_1 + S_2)}{S_1S_2}$ (D)</p> Signup and view all the answers

Two bodies of 1 kg and 3 kg mass have position vectors $\hat{i} + 2\hat{j} + \hat{k}$ and $-3\hat{i} - 2\hat{j} + \hat{k}$ respectively. What is the magnitude of the position vector of the center of mass, similar to which vector?

<p>$\hat{i} - 2\hat{j} + \hat{k}$ (D)</p> Signup and view all the answers

A charged particle's energy from a cyclotron with B=magnetic induction and R=radius of Circular path is given by which formula?

<p>$\frac{q^2B^2R^2}{2m}$ (B)</p> Signup and view all the answers

If the intensity of a laser is 53.10 W/m², what is the electric field amplitude?

<p>200 N/C (C)</p> Signup and view all the answers

The potential energy of a satellite that has mass m and rotating at the height of $6.4x10^6$ m from the Earth surface is

<p>$-0.5mgR_e$ (D)</p> Signup and view all the answers

What is the oscillation frequency of an electron with energy of 0.1 keV in perfect relation to the Earth's $1 \times 10^{-4}$ magnetic field.

<p>$2.8 \times 10^5 {Hz}$ (B)</p> Signup and view all the answers

In an RLC set with Vm as the amplitude and frequency $\omega = \frac{1}{\sqrt{LC}}$ and current, what expresses the state’s quality factor?

<p>$\frac{\omega_0 L}{R}$ (B)</p> Signup and view all the answers

If you set the magnetic field relation and calculate the magnetic strength for a circular center of loop that equals x, what could that ration be?

<p>$\frac{x}{8}$ (C)</p> Signup and view all the answers

What should be the parallel cylinder in a uniform axis if B represents the uniform magnetic field?

<p>zero emf (C)</p> Signup and view all the answers

With a .7mm shift in density in $H_2O$, find the H2O flow?

<p>2720 $cm^3$/s (B)</p> Signup and view all the answers

If we link the magnetic vector in uniform magnetic field of A, what statement aligns with that vector?

<p>B.A (A)</p> Signup and view all the answers

What value will the RMS in the circuit carry if there is an LCR of 110$\Omega$ resistance and the supply delivers 220V at a frequency of 300 rad/s?

<p>2A (A)</p> Signup and view all the answers

If we allow a material with the same Radius with the quantity of R being set as 3R to fall in liquid on density $\sigma$, what velocities does it carry?

<p>1:9 (C)</p> Signup and view all the answers

Flashcards

Focal Length of Convex Mirror

The focal length (f) is related to the radius of curvature (r) in a spherical convex mirror by (f = r/2). For a convex mirror, the focus is behind the mirror, making the focal length positive.

Longitudinal Wave Oscillation

When a longitudinal wave propagates, particles oscillate harmonically around their mean positions. The sum of kinetic and potential energy remains constant.

Ascent/Descent Time Ratio

The ratio of ascent time to descent time for a vertically thrown object with air resistance is (\sqrt{2}:\sqrt{3}).

Temperature Scale Conversion

For temperature scales P and Q, the conversion relationship is (\frac{t_Q}{100} = \frac{t_P - 30}{150}), based on equal divisions and fixed points.

Signup and view all the flashcards

Uranium Decay Products

For a Uranium-238 nucleus decaying to Lead-206, 8 alpha particles and 6 beta particles are emitted during the radioactive series.

Signup and view all the flashcards

Rotational Kinetic Energy Ratio

In a mixture of oxygen and nitrogen at the same temperature, the average rotational kinetic energy per molecule is the same for both, resulting in a ratio of 1:1.

Signup and view all the flashcards

Organ Pipe Frequency vs. Radius

A broader organ pipe gives a note of smaller frequency, due to greater 'end correction' which effectively increases the pipe's length.

Signup and view all the flashcards

Electron's Maximum Distance

An electron's maximum distance from origin with position (x = 20te^{-t}) m is (20/e) meters, occurring when its velocity momentarily stops.

Signup and view all the flashcards

Distance from Point Charge

The distance (r) from a 5x10⁻⁹ C point charge at which the electric potential is 50 V is 0.9 m or 90 cm.

Signup and view all the flashcards

Young's Double Slit Position

In Young's double-slit, the angular position (\theta) where intensity is 1/4 of maximum is (\sin^{-1}(\lambda/3d)).

Signup and view all the flashcards

Projectile Velocity After 2s

The velocity of a projectile launched at 30° with an initial velocity of 40 m/s, 2 seconds after launch, is (20\sqrt{3}) m/s.

Signup and view all the flashcards

Motion of a Particle

A particle's motion described by y = 3cos(π/4 - 2ωt) exhibits simple harmonic motion with a period of π/ω.

Signup and view all the flashcards

Stopping Voltage Calculation

A monochromatic neon lamp with a wavelength of 670.5 nm has a stopping voltage of 0.48 V. The stopping voltage with a wavelength of 474.6 nm is 1.25 V.

Signup and view all the flashcards

Torque on Rotating Stone

In a stone rotating at constant speed, the torque on the stone is zero because the force is radial.

Signup and view all the flashcards

Maximum Spring Extension

For a mass M hanging on a spring, the maximum extension is 2Mg/k, double the static equilibrium extension.

Signup and view all the flashcards

Dimension of Formula P

The dimension of P in (P = \frac{EL^2}{M^5G^2}) are ([M^0L^0T^0]) showing it is dimensionless.

Signup and view all the flashcards

Normal Reaction Force

The normal reaction on a 70 kg roller pushed at 30° with 200 N is 800 N.

Signup and view all the flashcards

Convex-Concave Lens Combination

The individual focal lengths of lens, in contact whose equivalent focal length is 30 cm and power ratio is 2/3, are -15 cm (convex) and 10 cm (concave).

Signup and view all the flashcards

Capillary Rise in Accelerating Lift

In a lift accelerating upwards, water rises 1/3 of the normal height in a capillary tube.

Signup and view all the flashcards

Work done due to Force F=Cx

For an object acted upon by (F=Cx), the Work done during displacement will be (Cx_{1}^{2}/2

Signup and view all the flashcards

Apparent Depth with Two Liquids

When a vessel of depth d is half filled with oil of refractive (n₁) and water of refractive index (n₂), apparent depth is ( d(n₁+n₂) / 2n₁n₂).

Signup and view all the flashcards

Mass Change on Charging

For charged equal sized spheres, the mass of sphere B increases due to gaining electrons, sphere A loses mass due to losing electrons

Signup and view all the flashcards

Angle related balancing

For insect crawl in ditch, the height where insect starts slipping will be ( R(1-4/5))

Signup and view all the flashcards

Eqivalent capacitance connection

Given connection, the equivalent capacitance connection is calculated as the sum of ( C + C =2C)

Signup and view all the flashcards

Capacitance amount compare of drop one big and smalelr

Capacitance bigger drop has increase to 2 timer then smaller one

Signup and view all the flashcards

Coefficient of restitution calculation

In a collision where a ball of mass M strikes a second ball of mass m at rest, and after that they separate in mutually perpendicular directions, the co-efficient will be (M/m)

Signup and view all the flashcards

Internal change calculation

In the case the pressure is decreasing then (\Delta U=+4.5 J

Signup and view all the flashcards

Bohr mode

The ground state excitation is three (e^-)

Signup and view all the flashcards

Solution order of (S_N2)

The correct option out of all option is (D) option is correct one so its is (RI)> (RBr)> (RC)>

Signup and view all the flashcards

Solution is in result by(LC)

For an for and at 300 rad/s if only (C) is move out the is decrease the current then it lead behind voltage by (45^o) so and the result is 2 a

Signup and view all the flashcards

Solution

For is the two sphere the will be 1/9

Signup and view all the flashcards

Study Notes

  • Multiple Choice Questions (MCQs) are made up of 150 questions
  • Section A covers Physics & Chemistry, each with 50 questions
  • Section B has 50 Mathematics questions
  • The order of answering questions is up to to the candidate
  • Each question has one correct answer out of four
  • A correct answer earns one mark, with no negative marking
  • Marks are not awarded for multiple answers, scratching or overwriting
  • Test duration of 3 hours

Physics

  • For a spherical convex mirror, the focal length (f) is positive and described by: f = r/2
  • In longitudinal wave propagation, particles oscillate around mean positions; the sum of kinetic and potential energy remains constant
  • If air resistance produces a constant retarding force, the ratio of ascent to descent time will be √2:√3
  • Temperature scales conversion relates P & Q scales using tp/150 = to/100 with 150 divisions on P and 100 on Q
  • In the Uranium radioactive series from U-238 to Pb-206, 8 alpha and 6 beta particles emitted
  • The formula for the uranium radioactive series can be written as Mass Loss: 4x = 238-206=32⇒x=8, Atomic No Loss: 2x−y =92-82=10.
  • O₂ to N₂ average rotational kinetic energy is 1:1 at 300 K
  • Each diatomic molecule rotation has RT/2 energy per mole.
  • Broader organ pipe produces lower frequency note
  • An electron's position along the x-axis varies with time described by x = 20te¯¹ m
  • It stops momentarily at x = 20/e m
  • With its instantaneous stop at t = 1 via v = 20[te¯'×(-1)+e¯']
  • Potential, Vp, is 50 V from a 5x10⁻⁹ C charge at distance which is solved by Vp=kQ/r to 0.9m = 90cm
  • Young's double-slit experiment has 1/4 maximum intensity at sin⁻¹(λ/3d) angular position.
  • A projectile at 30° launch with 40m/s initial velocity has horizontal component 20√3 m/s after 2 seconds
  • The particle displacement equation y = 3cos(π/4 - 2ωt) represents simple harmonic motion with π/ω period.
  • The particle's motion shows simple harmonic motion (SHM) and motion is periodic simple harmonic
  • A monochromatic 670.5 nm neon lamp has 0.48V stopping voltage
  • The voltage becomes 1.25 V if the source light wavelength changes to 474.6 nm, derived using Einstein's photoelectric equation.
  • A stone rotating on the end of a string has zero torque
  • Spring extension maximum and constant, 2Mg/k, with a mass released
  • P dimensions are [M⁰L⁰T⁰], if energy, angular momentum, mass and constant of gravitation respectively, then the dimensions of P = EL²M⁻⁵G⁻².
  • A 70 kg garden roller pushed at 30° angle with 200 N force will have an 800N reaction
  • A combination of convex and concave lenses having 2:3 power ratio will gave -15 cm and 10cm focal lengths if the combined focal length is 30 cm
  • h is inversely proportional to g i.e. is h ∝ 1/g
  • Capillary action reduced by 1/3 i.e. h’ = 1/3h
  • The work done by a force Cx from x=0 to x=x₁ is 1/2(Cx²)
  • A vessel of depth 'd' is half filled with oil and water of different refraction indices causes the apparent depth d’=d(n₁+n₂)/2n₁n₂
  • A positively charged metallic sphere will lose mass
  • An insect crawls up a hemispherical ditch to h=0.2m
  • Combination’s equivalent capacitance shown in figure to be 2C
  • Eight mercury drops combine which increases the capacitance X2
  • Coefficient of impact is M/m
  • Gas pressure decreases linearly from A to B, it will lead to the internal energy of the gas being +4.5J.
  • Hydrogen atom excitation will yield 3 spectral lines
  • Mass of the satellite will be the same as the height of the satellite on earth of 6.4×106 m
  • Given earth magnetic field is 10⁻⁴Wbm⁻², revolution frequency with energy 0.1keV will be 2.8×105 Hz
  • The RLC circuit quality factor is (1/R)√(L/C)
  • Ratio of magnetic field and moment will be x = µ₀I/2R is affected by radius and current changing to become Ratio x
  • Uniform magnetic field that induces cylinder’s current is the direction will result in anticlockwise view
  • Horizontal flow pressure has a water rate of 2720cm³/s
  • Magnetic flux in the cylinder and no induced emf in it will be zero.
  • Magnetic Flux formula is BA
  • RMS current 2 A if inductance removed LCR from resonance

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

MHT-CET PYP 2023 Past Paper PDF

More Like This

Class 10 Refraction Quiz
6 questions
Plane Mirrors vs
3 questions

Plane Mirrors vs

CoherentForest6710 avatar
CoherentForest6710
Image Formation by Convex Mirror
2 questions
Use Quizgecko on...
Browser
Browser