Verified Solution • 2025–26 Session moderate

QP 50-51: Q4: HC Verma: Concepts of Physics - Volume 1 Chapter-3 Rest and Motion Kinematics P 50-51: Q4 Solution: An object may have:

An object may have:

Multiple Choice Options

  • A varying speed without having varying velocity
  • B varying velocity without having varying speed
  • C nonzero acceleration without having varying velocity
  • D nonzero acceleration without having varying speed.

Step-by-Step Verified Solution

The possible statements are varying velocity without having varying speed and nonzero acceleration without having varying speed.


  1. Varying speed without having varying velocity — Impossible
  2. Speed is the magnitude of velocity (v=∣v∣v = \vert{}\mathbf{v}\vert{}). If speed varies, the magnitude of velocity changes, which automatically means velocity is varying.


  1. Varying velocity without having varying speed — Possible
  2. Velocity is a vector having both magnitude (speed) and direction. In uniform circular motion, the direction of motion changes continuously while speed remains constant, so velocity varies.


  1. Nonzero acceleration without having varying velocity — Impossible
  2. Acceleration is defined as the rate of change of velocity (a=dvdt\mathbf{a} = \frac{d\mathbf{v}}{dt}). If acceleration is non-zero, velocity must be changing.


  1. Nonzero acceleration without having varying speed — Possible
  2. In uniform circular motion, centripetal acceleration exists (a≠0\mathbf{a} \neq 0) because the direction of velocity is changing, even though the speed (magnitude of velocity) remains constant.


All Questions in this Chapter

QP 49-50: Q1 QP 49-50: Q2 QP 49-50: Q3 QP 49-50: Q4 QP 49-50: Q5 QP 49-50: Q6 QP 49-50: Q7 QP 49-50: Q8 QP 49-50: Q9 QP 49-50: Q10 QP 49-50: Q11 QP 49-50: Q12 QP 49-50: Q13 QP 50-51: Q1 QP 50-51: Q2 QP 50-51: Q3 QP 50-51: Q4 QP 50-51: Q5 QP 50-51: Q6 QP 50-51: Q7 QP 50-51: Q8 QP 50-51: Q9 QP 50-51: Q10 QP 51-54: Q1 QP 51-54: Q2 QP 51-54: Q3.1 QP 51-54: Q3.2 QP 51-54: Q3.3 QP 51-54: Q3.4 QP 51-54: Q4.1 QP 51-54: Q4.2 QP 51-54: Q5 QP 51-54: Q6 QP 51-54: Q7 QP 51-54: Q8.1 QP 51-54: Q8.2 QP 51-54: Q8.3 QP 51-54: Q9.1 QP 51-54: Q9.2 QP 51-54: Q10 QP 51-54: Q11 QP 51-54: Q12 QP 51-54: Q13 QP 51-54: Q14 QP 51-54: Q15.1 QP 51-54: Q15.2 QP 51-54: Q15.3 QP 51-54: Q16 QP 51-54: Q17 QP 51-54: Q18.1 QP 51-54: Q18.2 QP 51-54: Q19 QP 51-54: Q20 QP 51-54: Q21 QP 51-54: Q22 QP 51-54: Q23.1 QP 51-54: Q23.2 QP 51-54: Q23.3 QP 51-54: Q24 QP 51-54: Q25.1 QP 51-54: Q25.2 QP 51-54: Q25.3 QP 51-54: Q26 QP 51-54: Q27 QP 51-54: Q28 QP 51-54: Q29 QP 51-54: Q30 QP 51-54: Q31 QP 51-54: Q32.1 QP 51-54: Q32.2 QP 51-54: Q32.3 QP 51-54: Q33.1 QP 51-54: Q33.2 QP 51-54: Q34 QP 51-54: Q35 QP 51-54: Q36 QP 51-54: Q37 QP 51-54: Q38 QP 51-54: Q39 QP 51-54: Q40 QP 51-54: Q41 QP 51-54: Q42 QP 51-54: Q43.1 QP 51-54: Q43.2 QP 51-54: Q44 QP 51-54: Q45 QP 51-54: Q46.1 QP 51-54: Q46.2 QP 51-54: Q47.1 QP 51-54: Q47.2 QP 51-54: Q48 QP 51-54: Q49.1 QP 51-54: Q49.2 QP 51-54: Q50 QP 51-54: Q51 QP 51-54: Q52 QPage 48-49: Q1 QPage 48-49: Q2 QPage 48-49: Q3 QPage 48-49: Q4 QPage 48-49: Q5 QPage 48-49: Q6 QPage 48-49: Q7 QPage 48-49: Q8 QPage 48-49: Q9 QPage 48-49: Q10.1 QPage 48-49: Q10.2 QPage 48-49: Q10.3 QPage 48-49: Q11 QPage 48-49: Q12 QPage 48-49: Q13 QPage 48-49: Q14

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