MHT CET · Physics · Laws of Motion
In non - uniform circular motion, the ratio of tangential to radial acceleration is \((\mathrm{r}=\) radius, \(\propto=\) angular acceleration, \(\mathrm{V}=\) linear velocity)
- A \(\frac{r \propto}{V}\)
- B \(\frac{\mathrm{V}^{2}}{\boldsymbol{r} \alpha}\)
- C \(\frac{r^{2} \alpha}{V^{2}}\)
- D \(\frac{r \propto^{2}}{\mathrm{~V}^{2}}\)
Answer & Solution
Correct Answer
(C) \(\frac{r^{2} \alpha}{V^{2}}\)
Step-by-step Solution
Detailed explanation
Tangential acceleration \(=a=\alpha r\)
Radial acceleration \(=\frac{\mathrm{V}^{2}}{\mathrm{r}}\)
\(\therefore(1) \div(2) \quad \frac{\alpha r \times r}{V^{2}}=\frac{\alpha r^{2}}{V^{2}}\)
Radial acceleration \(=\frac{\mathrm{V}^{2}}{\mathrm{r}}\)
\(\therefore(1) \div(2) \quad \frac{\alpha r \times r}{V^{2}}=\frac{\alpha r^{2}}{V^{2}}\)
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
- In hydrogen atom in its ground state, the first Bohr orbit has radius ' \(r_1{ }^{\prime}\). When the atom is raised to one of its excited states, the electrons orbital velocity becomes one-third. The radius of that orbit isMHT CET 2025 Medium
- In a purely inductive circuit, the current isMHT CET 2012 Easy
- The air column in an organ pipe closed at one end is made to vibrate so that there are
2 nodes and antinodes each. The mode of vibration is calledMHT CET 2020 Easy - Average power associated with an ideal inductor and ideal capacitor over a complete cycle of a.c. is respectivelyMHT CET 2024 Easy
- A particle is performing U.C.M. along the circumference of a circle of diameter 50 cm with frequency 2 Hz. The acceleration of the particle in isMHT CET 2018 Medium
- A photon has wavelength \(3 \mathrm{~nm}\), then its momentum and energy respectively will be
\(
[\mathrm{h}=6.63 \times 10^{-34} \mathrm{Js}, \mathrm{c}=\text { velocity of light }\) \(=3 \times 10^8 \mathrm{~m} / \mathrm{s}]
\)MHT CET 2021 Hard
More PYQs from MHT CET
- If \(y=e^{4 x} \cos 5 x\), then \(\frac{d^{2} y}{d x^{2}}\) at \(x=0\) isMHT CET 2020 Easy
- Identify the use of glyptalMHT CET 2025 Easy
- Match the terms is Column-I with their explanation in Column-II:
Column I Column II A. Polycythemia I. Decrease in number of WBCs B. Erythrocytopenia II. Increase in number of RBCs C. Leukemia III. Decrease in number of RBCs D. Leucopenia IV. Uncontrolled increase in number of WBCs MHT CET 2021 Hard - SI units of self inductance isMHT CET 2023 Easy
- Segment of DNA which is responsible for inheritance and expression of a particular character is known asMHT CET 2019 Hard
- The differential equation of all circles which pass through the origin and whose centres lie on \(y\) -axis isMHT CET 2011 Easy