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🧬 Biology 16 Chapters • 80 High-Yield Topics

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Physics Physical Quantities & Measurement Dimensions & Errors

HARD

Q1. What are the base SI dimensions of the universal gravitational constant (G) in the formula F = G*m1*m2 / r^2?

A [M^-1 L^2 T^-2]

B [M L^3 T^-1]

C [M^-1 L^3 T^-2]

D [M L^2 T^-2]

Physics Physical Quantities & Measurement Dimensions & Errors

MEDIUM

Q2. What are the dimensional units of Planck's constant (h) in quantum mechanics (E = h*f)?

A [M L^3 T^-2]

B [M L^2 T^-2]

C [M L^2 T^-1] (same as Angular Momentum)

D [M L T^-1]

Physics Physical Quantities & Measurement Dimensions & Errors

MEDIUM

Q3. If the percentage uncertainty in measuring the radius (r) of a sphere is 2%, what is the total percentage uncertainty in its calculated volume (V = 4/3 pi r^3)?

A 2%

B 6%

C 4%

D 8%

Physics Vectors & Equilibrium Vector Operations & Torque

MEDIUM

Q4. In laboratory physics setups: the scalar (dot) product of two non-zero vectors A and B is zero (A . B = 0) when the angle between them is:

A 90° (Vectors are mutually perpendicular)

B 180° (Vectors are anti-parallel)

C 45°

D 0° (Vectors are parallel)

Physics Vectors & Equilibrium Vector Operations & Torque

EASY

Q5. In laboratory physics setups: the magnitude of the vector (cross) product |A x B| is maximum when the angle between the two vectors is:

A 45°

B 90° (sin 90° = 1)

C 180°

D 0°

Physics Vectors & Equilibrium Vector Operations & Torque

MEDIUM FREE

Q6. In laboratory physics setups: for a rigid body to be in complete mechanical equilibrium, which two conditions must be satisfied simultaneously?

A Body moves with constant acceleration

B Center of gravity lies at the base

C Sum of linear velocities is zero only

D Sum of all external forces is zero (Sum F = 0) and sum of all external torques is zero (Sum tau = 0)

Physics Force & Motion Newton's Laws, Momentum & Projectiles

MEDIUM

Q7. A projectile is launched with initial velocity vo at an angle theta to the horizontal. The angle theta that yields the maximum horizontal range (R_max) is:

A 30°

B 45°

C 90°

D 60°

Physics Force & Motion Newton's Laws, Momentum & Projectiles

MEDIUM

Q8. At the highest peak of its parabolic trajectory, the acceleration of a projectile in the absence of air resistance is:

A g (9.8 m/s^2 vertically downward)

B Zero

C vo^2 / R horizontally

D g acting along the tangent

Physics Force & Motion Newton's Laws, Momentum & Projectiles

EASY

Q9. In an isolated system, the total linear momentum is conserved during collisions because:

A Internal action-reaction forces between colliding bodies sum to zero according to Newton's Third Law

B Colliding bodies are completely elastic

C Kinetic energy is always converted into potential energy

D Gravitational force vanishes during impact

Physics Work, Energy & Power Work-Energy Theorem & Escape Velocity

HARD

Q10. In laboratory physics setups: the work-energy theorem states that the net work done on a body by all acting forces equals the:

A Rate of change of linear momentum

B Change in thermal heat exclusively

C Total potential energy stored

D Change in kinetic energy of the body (Wnet = Delta KE)

Physics Work, Energy & Power Work-Energy Theorem & Escape Velocity

EASY

Q11. In laboratory physics setups: the escape velocity of an object from Earth's gravitational field (radius R, mass M) is given by the formula:

A vesc = sqrt(2 * G * M / R) = sqrt(2 * g * R) (~11.2 km/s)

B vesc = 2 * g * R

C vesc = sqrt(G * M / R)

D vesc = sqrt(g * R / 2)

Physics Work, Energy & Power Work-Energy Theorem & Escape Velocity

EASY FREE

Q12. In laboratory physics setups: a constant force of 50 N acts on an object, displacing it by 10 m in a direction at 60° to the force vector. What is the work done?

A 250 Joules

B 433 Joules

C 500 Joules

D 100 Joules

Physics Circular Motion & Gravitation Centripetal Force & Satellites

MEDIUM

Q13. The centripetal acceleration (ac) of a body of mass m moving with constant speed v in a circle of radius r is directed:

A Radially inward toward the center of the circle (ac = v^2 / r = r * omega^2)

B Tangentially along the velocity vector

C Radially outward away from the center

D Perpendicular to the plane of rotation

Physics Circular Motion & Gravitation Centripetal Force & Satellites

KILLER

Q14. The orbital speed of a satellite revolving in a circular orbit of radius r close to Earth's surface is:

A vorb = 2 * pi * r

B vorb = sqrt(2 * g * R)

C vorb = g * R

D vorb = sqrt(G * M / r) = sqrt(g * R) (~7.9 km/s)

Physics Circular Motion & Gravitation Centripetal Force & Satellites

EASY FREE

Q15. The orbital time period of a geostationary satellite orbiting Earth in the equatorial plane is exactly:

A 365 days

B 12 hours

C 90 minutes

D 24 hours (1 sidereal day, appearing stationary relative to Earth's surface)

Physics Fluid Dynamics Stokes' Law, Continuity & Bernoulli

MEDIUM

Q16. In laboratory physics setups: according to Stokes' Law, the viscous drag force (F) acting on a sphere of radius r moving with velocity v through a fluid of viscosity eta is:

A F = 6 * pi * eta * r^2

B F = 6 * pi * eta * r * v

C F = eta * A * dv/dx

D F = 4/3 * pi * eta * r^2 * v

Physics Fluid Dynamics Stokes' Law, Continuity & Bernoulli

MEDIUM FREE

Q17. In laboratory physics setups: the terminal velocity (vt) of a spherical raindrop falling through air is reached when:

A Acceleration equals g

B Viscous drag drops to zero

C The downward gravitational weight equals the sum of upward viscous drag force and buoyant force (Net F = 0)

D The raindrop runs out of mass

Physics Fluid Dynamics Stokes' Law, Continuity & Bernoulli

EASY

Q18. In laboratory physics setups: according to Bernoulli's equation for steady, non-viscous, incompressible fluid flow in a horizontal pipe, where fluid speed increases:

A Static fluid pressure decreases

B Fluid density increases

C Total energy drops to zero

D Static fluid pressure increases

Physics Oscillations Simple Harmonic Motion & Resonance

MEDIUM

Q19. In simple harmonic motion (SHM), the acceleration (a) of the oscillating particle is:

A Directly proportional to displacement and directed toward the mean equilibrium position (a = -omega^2 * x)

B Constant in magnitude and direction

C Directly proportional to velocity

D Inversely proportional to displacement

Physics Oscillations Simple Harmonic Motion & Resonance

EASY FREE

Q20. What is the time period (T) of a simple pendulum of length L in a gravitational field g?

A T = 2 * pi * sqrt(g / L)

B T = 2 * pi * sqrt(m / k)

C T = 2 * pi * sqrt(L / g)

D T = 1 / (2 * pi) * sqrt(L / g)

Physics Oscillations Simple Harmonic Motion & Resonance

MEDIUM

Q21. In an ideal mass-spring oscillator undergoing SHM, where is the kinetic energy maximum and potential energy zero?

A At the maximum negative displacement (x = -xo)

B At the maximum positive displacement (x = +xo)

C At the mean equilibrium position (x = 0)

D At x = xo / 2

Physics Waves & Sound Doppler Effect, Standing Waves & Sound

MEDIUM

Q22. In laboratory physics setups: laplace corrected Newton's formula for the speed of sound in gases because sound propagation is an:

A Isobaric process

B Isochoric process

C Adiabatic process (v = sqrt(gamma * P / rho)) rather than an isothermal process

D Irreversible chemical reaction

Physics Waves & Sound Doppler Effect, Standing Waves & Sound

MEDIUM FREE

Q23. In laboratory physics setups: when a sound source moves toward a stationary observer with speed us, the apparent frequency (f') heard by the observer is:

A Zero

B Lower than source frequency (f' = f * [v / (v + us)])

C Higher than source frequency (f' = f * [v / (v - us)])

D Unchanged

Physics Waves & Sound Doppler Effect, Standing Waves & Sound

EASY

Q24. In laboratory physics setups: the fundamental frequency (f1) of standing waves in an open organ pipe of length L is:

A f1 = v / L

B f1 = v / (4 * L)

C f1 = v / (2 * L) (containing both odd and even harmonics)

D f1 = 2 * v / L

Physics Physical Optics Interference, Diffraction & Polarization

HARD

Q25. In Young's Double Slit Experiment, the fringe spacing (Delta y) between consecutive bright fringes is given by:

A Delta y = d * L / lambda

B Delta y = lambda * d / L

C Delta y = 2 * lambda * L * d

D Delta y = lambda * L / d