A body travels first half distance at speed v₁ and second half at v₂. Average speed is: MCQ with Answer and Explanation

A body travels first half distance at speed v₁ and second half at v₂. Average speed is:
A. v₁v₂/(v₁+v₂)
B. (v₁+v₂)/2
C. 2v₁v₂/(v₁+v₂)
D. √(v₁v₂)
Answer: Option C
Solution (By JKExamLibrary)
For equal distances: average speed = total distance/total time = 2d/(d/v₁ + d/v₂) = 2v₁v₂/(v₁+v₂). This is harmonic mean, not arithmetic. Memory tip: Equal distances ⇒ harmonic mean of speeds; equal times ⇒ arithmetic mean. Frequently tested kinematics concept distinguishing average speed calculation methods.

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 dimensional formula of strain is
A. [M⁰L⁰T⁰]
B. [MLT⁻²]
C. [T⁻¹]
D. [L]

Correct Answer: Option A


Explanation:
Strain = ΔL/L, dimensionless, so [M⁰L⁰T⁰].

This question belongs to: Science Physics
Question #2 Report Error
Assertion (A): Fuse wire has high resistance and low melting point. Reason (R): It must melt to break circuit on overload.
A. A true, R false
B. A false, R true
C. Both A and R true, R correct explanation
D. Both A and R true, R not correct explanation

Correct Answer: Option C


Explanation:
High resistance produces more heat (I²R), low melting point ensures quick melting. Both true and R explains A.

This question belongs to: Science Physics
Question #3 Report Error
The graph between velocity and time for uniform acceleration is
A. Circle
B. Parabola
C. Straight line inclined to time axis
D. Straight line parallel to time axis

Correct Answer: Option C


Explanation:
v = u + at, linear relation, slope = a. Straight line inclined. If a=0, parallel to time axis (uniform velocity). Displacement-time is parabola for uniform acceleration.

This question belongs to: Science Physics