AP EAMCET · PHYSICS · Laws of Motion
A lorry is moving on a smooth circular path of radius 50 \(\mathrm{m}\) with a velocity of \(20 \mathrm{~ms}^{-1}\). Then the banking angle of the road is
(Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )
- A \(\tan ^{-1} \frac{5}{4}\)
- B \(\tan ^{-1} \frac{4}{5}\)
- C \(\tan ^{-1} \frac{2}{5}\)
- D \(\tan ^{-1} \frac{5}{2}\)
Answer & Solution
Correct Answer
(B) \(\tan ^{-1} \frac{4}{5}\)
Step-by-step Solution
Detailed explanation
Radius of circular path, \(R=50 \mathrm{~m}\) Velocity, \(V=20 \mathrm{~m} / \mathrm{s}\) Banking angle of the road, \(\tan \theta=\frac{V^2}{R g}\) \(\theta=\tan ^{-1}\left(\frac{20^2}{50 \times 10}\right)=\tan ^{-1}\left(\frac{4}{5}\right)\)
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
- An electromagnetic wave travel in a medium with a speed of \(2 \times 10^8 \mathrm{~ms}^{-1}\). The relative permeability of the medium is 1 . Then the relative permitivity isAP EAMCET 2024 Easy
- A horizontal telegraph wire of length 30 m spread east to west fell down freely from a height of 20 m. If the resistance of the wire is \(40 \Omega\) and the horizontal component of the earth's magnetic field at the place is \(2 \times 10^{-5} \mathrm{~T}\), then the induced current when the wire reaches the ground is (Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )AP EAMCET 2025 Medium
- A car is moving with a velocity of \(4 \mathrm{~m} \mathrm{~s}^{-1}\) towards east. After a time of 4 s, if it is heading north-east with a velocity of \(4 \sqrt{2} \mathrm{~m} \mathrm{~s}^{-1}\), then the average velocity of the car isAP EAMCET 2025 Medium
- A train of \(150 \mathrm{~m}\) length is going towards north direction at a speed of \(10 \mathrm{~ms}^{-1}\). A parrot flies at the speed of \(5 \mathrm{~ms}^{-1}\) towards south direction parallel to the railway track. The time for which the parrot flies alongside the train isAP EAMCET 2020 Hard
- A hydrogen atom at the grotund level absorbs a photon and is excited to level. The potential energy of the electron in the excited state isAP EAMCET 2022 Easy
- The number of significant figures in the simplification of \(\frac{0.501}{0.05}(0.312-0.03)\) isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- If \(f(x)=\frac{1}{1+\frac{1}{x}}\) and \(g(x)=\frac{1}{1+\frac{1}{f(x)}}\), then \(g^{\prime}(2)\) is equal toAP EAMCET 2013 Easy
- If the position vectors of the vertices of a triangle are \(2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}, \quad \hat{\mathbf{i}}-3 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}\) and \(3 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}\), then the triangle isAP EAMCET 2002 Medium
- If \(\frac{5 x^2+2}{x^3+x}=\frac{A_1}{x}+\frac{A_2 x+A_3}{x^2+1}\), then \(\left(A_1, A_2, A_3\right)=\)AP EAMCET 2017 Easy
- If the normal drawn at a point \(P\) on the curve \(3 y=6 x-5 x^3\) passes through \((0,0)\), then the positive integral value of the abscissa of the point \(P\) isAP EAMCET 2022 Medium
- In a book of 500 pages, it is found that there are 250 typing errors. Assume that Poisson law holds for the number of errors per page. Then, the probability that a random sample of 2 pages will contain no error, is :AP EAMCET 2006 Hard
- The derivative of \(e^{3 x} \sin 4 x\) with respect to \(x\), isAP EAMCET 2017 Easy