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MCQ Practice

General Science (Everyday Science) MCQs

The magnetic field inside an ideal long solenoid is approximately:

  • A. Zero everywhere
  • B. Uniform and parallel to the axis
  • C. Radial and nonuniform
  • D. Circular around the axis inside the coil
Explanation:
For an ideal long solenoid, the field is nearly uniform along its axis.

In a series RLC circuit at resonance, the impedance is:

  • A. Purely resistive and minimum
  • B. Purely capacitive and maximum
  • C. Purely inductive and minimum
  • D. Zero for any resistance
Explanation:
At resonance (X_L=X_C), so reactances cancel and impedance equals (R).

A uniform electric field points in the +x direction. An electron released from rest will accelerate:

  • A. In +x direction
  • B. In -x direction
  • C. Perpendicular to x-axis
  • D. It will not accelerate
Explanation:
The force on a negative charge is opposite the electric field direction.

The de Broglie wavelength of a particle decreases when its:

  • A. Charge increases
  • B. Momentum increases
  • C. Mass decreases at fixed momentum
  • D. Spin changes
Explanation:
(\lambda = h/p), so wavelength is inversely proportional to momentum.

In special relativity, simultaneity of two spatially separated events is:

  • A. Absolute in all inertial frames
  • B. Relative to the observer’s frame
  • C. Undefined
  • D. Conserved under Galilean transformation only
Explanation:
Events simultaneous in one inertial frame need not be simultaneous in another.

Which statement about simple harmonic motion is correct?

  • A. Acceleration is proportional to displacement and in the same direction
  • B. Velocity is maximum at extreme position
  • C. Total energy varies sinusoidally
  • D. Acceleration is proportional to displacement and opposite in direction
Explanation:
SHM requires a restoring acceleration opposite to displacement.

A Carnot engine operating between 500 K and 300 K has maximum efficiency:

  • A. 20%
  • B. 40%
  • C. 60%
  • D. 80%
Explanation:
Carnot efficiency is (1-\frac{T_c}{T_h}=1-\frac{300}{500}=0.40).

For a damped harmonic oscillator, critical damping corresponds to:

  • A. Fastest return to equilibrium without oscillation
  • B. Largest amplitude oscillation
  • C. Zero restoring force
  • D. Constant total energy
Explanation:
Critical damping is the threshold between oscillatory and non-oscillatory motion with minimum settling time.

In the canonical ensemble, the probability of a microstate with energy (E_i) is proportional to:

  • A. (e^{+E_i/kT})
  • B. (e^{-E_i/kT})
  • C. (E_i/kT)
  • D. (1/E_i)
Explanation:
The Boltzmann factor assigns lower probability to higher-energy microstates.

A body projected vertically upward from Earth’s surface neglecting air resistance will have which quantity conserved during flight if Earth’s rotation is neglected?

  • A. Kinetic energy only
  • B. Momentum only
  • C. Mechanical energy
  • D. Gravitational force
Explanation:
In a uniform conservative gravitational field with no dissipation, total mechanical energy is conserved.