The time taken for a ball dropped from height h to reach ground is t. If dropped from height 4h, the time taken is: MCQ with Answer and Explanation

The time taken for a ball dropped from height h to reach ground is t. If dropped from height 4h, the time taken is:
A. 4t
B. 2t
C. t/2
D. t
Answer: Option B
Solution (By JKExamLibrary)
Free fall: h = ½gt² ⇒ t = √(2h/g). Thus t ∝ √h. If h' = 4h, t' = √(4h/g) = 2√(h/g) = 2t. Time doubles when height quadruples. Memory aid: 'Free fall time: t ∝ √h; quadruple height ⇒ double time'. This kinematics proportional reasoning problem is frequently tested in competitive exams. Always derive the proportionality from fundamental equations; avoid assuming linear relationships for non-linear motion.

This question belongs to: Science Physics

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Physics Questions

Question #1 Report Error
The energy dissipated as heat in a resistor is given by
A. I²Rt
B. V²t/R
C. All of the above
D. VIt

Correct Answer: Option C


Explanation:
All expressions equivalent (Joule's law).

This question belongs to: Science Physics
Question #2 Report Error
Alpha particle is:
A. Helium nucleus
B. Photon
C. Neutron
D. Electron

Correct Answer: Option A


Explanation:
Alpha (α) radiation: helium nucleus (²He⁴, 2p+2n), +2 charge, low penetration. Beta: electrons; Gamma: photons; Neutron: neutral particle. Memory aid: 'Alpha = He nucleus; Beta = electron; Gamma = EM wave'. Radioactivity classification frequently tested in competitive exams to distinguish radiation types.

This question belongs to: Science Physics
Question #3 Report Error
A gas expands at constant pressure. The work done by the gas is given by:
A. P/V
B. VΔP
C. PΔV
D. Δ(PV)

Correct Answer: Option C


Explanation:
For constant pressure (isobaric) process, work done by gas W = PΔV, where ΔV is change in volume. This derives from mechanical work W = F·d and pressure P = F/A, so F = PA, and dV = A·d, thus W = P·dV. Option D Δ(PV) applies to other contexts like enthalpy. Memory tip: 'Isobaric work = P times volume change'. This fundamental thermodynamics result is frequently used in first law applications. Competitive exams often combine this with ideal gas law for numerical problems; always verify process constraints (constant P here).

This question belongs to: Science Physics