MHT CET · Physics · Motion In Two Dimensions
In non-uniform circular motion, the ratio of tangential to radial acceleration is ( \(r\) is radius of circle, \(v\) is speed of the particle, \(\alpha\) is angular acceleration)
- A \(\frac{\alpha r^2}{v^2}\)
- B \(\frac{\alpha^2 r}{v^2}\)
- C \(\frac{\alpha^2 r^2}{v}\)
- D \(\frac{v^2}{r^2 \alpha}\)
Answer & Solution
Correct Answer
(A) \(\frac{\alpha r^2}{v^2}\)
Step-by-step Solution
Detailed explanation
Ratio of tangential to radial acceleration is given by,
\(\frac{a_t}{a_r}=\frac{r \alpha}{v^2 / r}=\frac{r^2 \alpha}{v^2}\)
\(\frac{a_t}{a_r}=\frac{r \alpha}{v^2 / r}=\frac{r^2 \alpha}{v^2}\)
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 string of length ' \(L\) ' fixed at one end carries a mass ' \(m\) ' at the other end. The string makes \(\frac{3}{\pi}\) r.p.s. around the vertical axis through fixed end. The tension in the string isMHT CET 2022 Medium
- Bohr model is applied to a particle of mass ' \(\mathrm{m}\) ' and charge ' \(\mathrm{q}\) ' moving in a plane under the influence of a transverse magnetic field ' \(\mathrm{B}\) '. The energy of the charged particle in the \(\mathrm{n}^{\text {th }}\) level will be \([\mathrm{h}=\) Planck's constant \(]\)MHT CET 2023 Medium
- An alternating voltage is represented by \(\mathrm{V}=80 \sin (100 \pi \mathrm{t})\) \(\cos (100 \pi \mathrm{t})\) volt. The peak voltage isMHT CET 2021 Easy
- A body executes SHM under the action of force ' \(F_1\) ' with time period ' \(\mathrm{T}_1\) '. If the force is changed to ' \(\mathrm{F}_2\) ', it executes SHM with period ' \(\mathrm{T}_2\) '. If both the forces ' \(\mathrm{F}_1\) ' and ' \(\mathrm{F}_2\) ' act simultaneously in the same direction on the body, its time period isMHT CET 2021 Hard
- The rate of flow of heat through a copper rod with temperature difference \(28^{\circ} \mathrm{C}\) is \(1400 \mathrm{cal} \mathrm{s}^{-1}\). The thermal resistance of copper rod will beMHT CET 2021 Easy
- The moment of inertia of a thin uniform rod of mass ' \(M\) ' and length ' \(L\) ' about an axis passing through a point at a distance \(\frac{L}{4}\) from one of its ends and perpendicular to the length of the rod isMHT CET 2021 Easy
More PYQs from MHT CET
- If \(6 \mathrm{~g}\) of solute dissolved in \(100 \mathrm{~g}\) of water lowers the freezing point by \(0.93 \mathrm{~K}\). What is molar mass of solute?
\(
\left(\mathrm{K}_{\mathrm{f}}=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)
\)MHT CET 2021 Medium - The megasporangium in angiosperms is usually _________.MHT CET 2020 Medium
- If ' \(\mathrm{E}\) ' is the kinetic energy per mole of an ideal gas and ' \(\mathrm{T}\) ' is the absolute temperature, then the universal gas constant is given asMHT CET 2021 Easy
- The value of \(\int_{-3}^3 \sin ^7 x \cos ^{16} x \mathrm{~d} x\) isMHT CET 2025 Easy
- Two sound waves of slightly different frequencies propagating in the same direction produce beats due toMHT CET 2022 Easy
- What is the name of reaction involving replacement of diazonium group by chloride using cuprous (I) salt?MHT CET 2020 Easy