MHT CET · Physics · Motion In Two Dimensions
A particle moves along a circular path with decreasing speed. Hence
- A its resultant acceleration is towards the centre.
- B its angular momentum remains constant.
- C the direction of angular momentum remains constant.
- D it moves in a spiral path with decreasing radius.
Answer & Solution
Correct Answer
(C) the direction of angular momentum remains constant.
Step-by-step Solution
Detailed explanation
A particle moves along a circular path with speed, then the angular momentum is given by
\(\overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{p}}=\overrightarrow{\mathrm{r}} \times \mathrm{m} \overrightarrow{\mathrm{v}}\)
When the speed v decrease, the magnitude of of angular momentum decreases. But the direction of angular momentum remains constant.
\(\overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{p}}=\overrightarrow{\mathrm{r}} \times \mathrm{m} \overrightarrow{\mathrm{v}}\)
When the speed v decrease, the magnitude of of angular momentum decreases. But the direction of angular momentum remains constant.
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A particle of mass \(5 \mathrm{~g}\) is executing S.H.M. with an amplitude \(0.3 \mathrm{~m}\) and period \(\frac{\pi}{5} \mathrm{~s}\). The maximum value of the force acting on the particle isMHT CET 2021 Easy
- The inductive reactance of a coil is ' R ' \(\Omega\). If inductance of a coil is tripled and frequency of a.c supply is also tripled, then new inductive reactance will beMHT CET 2024 Easy
- The ratio of angular momentum of an electron in \(\mathrm{n}^{\text {th }}\) orbit of hydrogen atom to the velocity of electron in \(n^{\text {th }}\) orbit is proportional toMHT CET 2025 Medium
- The magnetic flux through a coil is \(4 \times 10^{-4} \mathrm{~Wb}\) at time \(\mathrm{t}=0\). It reduces to \(30 \%\) of its original value in time \(t\) second. If e.m.f. induced in the coil is 0.56 mV then the value of \(t\) isMHT CET 2025 Medium
- With what velocity an observer should move relative to a stationary source so that a sound of triple the frequency of source is heard by an observer?MHT CET 2024 Easy
- A particle executing S.H.M. has velocities ' \(\mathrm{V}_1\) ' and ' \(\mathrm{V}_2\) ' at distances ' \(x_1\) ' and ' \(x_2\) ' respectively, from the mean position. Its frequency isMHT CET 2024 Medium
More PYQs from MHT CET
- Which element from following is used in photoelectric cells?MHT CET 2024 Easy
- In potentiometer experiment, cells of e.m.f. E and E 2 are connected in series (E \(_{1}>\mathrm{E}_{2}\) ), the balancing length is \(64 \mathrm{~cm}\) of the wire. If the polarity of \(\mathrm{E}_{2}\) is reversed, the balancing length becomes \(32 \mathrm{~cm}\). The ratio \(\frac{\mathrm{E}_{1}}{\mathrm{E}_{2}}\) isMHT CET 2020 Medium
- Lithium shows diagonal relationship withMHT CET 2021 Easy
- Two waves \(y_1=0.35 \sin (316 t)\) and \(y_2=0.35 \sin (310 t)\) are propagating along the same direction. The number of beats produced per second areMHT CET 2022 Easy
- Identify compound Q in following reaction.
\(\mathrm{R}-\mathrm{OH}+\mathrm{Q} \longrightarrow \mathrm{R}-\mathrm{Cl}+\mathrm{HCl}+\mathrm{POCl}_3\)MHT CET 2024 Easy - Identify nonbenzenoid aromatic compound from following.MHT CET 2023 Easy