AP EAMCET · PHYSICS · Mathematics in Physics
A force, \(\overrightarrow{\mathrm{F}}=(4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-5 \hat{\mathrm{k}}) \mathrm{N}\) is acting on a body making an angle \(\theta\) with the horizontal. Then the angle ' \(\theta\) ' is
- A \(\cos ^{-1}\left(\frac{2 \sqrt{2}}{5}\right)\)
- B \(\cos ^{-1}\left(\frac{\sqrt{2}}{5}\right)\)
- C \(\cos ^{-1}\left(\frac{5 \sqrt{2}}{9}\right)\)
- D \(\cos ^{-1}\left(\frac{3}{5 \sqrt{2}}\right)\)
Answer & Solution
Correct Answer
(A) \(\cos ^{-1}\left(\frac{2 \sqrt{2}}{5}\right)\)
Step-by-step Solution
Detailed explanation
\(\vec{F}=4 \hat{j}+3 \hat{j}-5 \hat{k}\)…
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
- The total energy of an electron in an orbit of hydrogen atom is E. The potential energy of the electron in the same orbit isAP EAMCET 2023 Easy
- In a spring block system as shown in figure, if the spring constant \(\mathrm{K}=9 \pi^2 \mathrm{Nm}^{-1}\), then the time period of oscillation is
AP EAMCET 2024 Medium - In a series LCR circuit, the voltages across the capacitor, resistor and inductor are in the ratio \(2: 3: 6\). If the voltage of the ac source in the circuit is 240 V, then the voltage across the inductor isAP EAMCET 2025 Medium
- An object of mass \(3 \mathrm{~kg}\) is tied by a string of negligible mass to a ceiling and held such that the string is taut. The object is released suddenly such that the string remains taut. It's acceleration when released is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )
AP EAMCET 2022 Hard - In a \(p\)-type semiconductor the donor level is at \(50 \mathrm{meV}\) above the valence band. To produce one electron, the maximum wavelength of light photon required is (Planck's constant, \(h=6.6 \times 10^{-34} \mathrm{Js}\) and speed of light in vacuum, \(c=3 \times 10^8 \mathrm{~ms}^{-1}\) )AP EAMCET 2019 Hard
- If refractive index of water is \(\frac{4}{3}\) and that of a given glass slab immersed in it is \(\frac{5}{3}\). The value of critical angle for a ray of light tending to go from glass to water isAP EAMCET 2021 Medium
More PYQs from AP EAMCET
- \(\tan 81^{\circ}-\tan 63^{\circ}-\tan 27^{\circ}+\tan 9^{\circ}\) equals toAP EAMCET 2014 Hard
- A swimmer can swim in still water with speed \(v\) and the river flowing with velocity \(\frac{v}{2}\).
To cross the river in shortest time, he should swim making angel \(\theta\) with the upstream. What is the ratio of the time taken to swim across in the shortest time to that in swimming across over shortest distance?AP EAMCET 2020 Hard - A unit vector coplanar with \(\mathbf{i}+\mathbf{j}+3 \mathbf{k}\) and \(\mathbf{i}+3 \mathbf{j}+\mathbf{k}\) and perpendicular to \(\mathbf{i}+\mathbf{j}+\mathbf{k}\) isAP EAMCET 2013 Medium
- A bag contains 4 red and 5 black balls. Another bag contains 3 red and 6 black balls. If one ball is drawn from first bag and two balls from the second bag at random, the probability that out of the three, two are black and one is red, isAP EAMCET 2024 Medium
- A body of mass ' m ' moving along a straight line collides with a stationary body of mass ' 2 m '. After collision if the two bodies move together with the same velocity, then the fraction of kinetic energy lost in the process isAP EAMCET 2025 Medium
- Two capacitors each having a capacitance \(2 \times 10^{-6} \mathrm{~F}\) and a breakdown voltage \(5000 \mathrm{~V}\), are joined in series. What will be the resultant capacitance and the breakdown voltage of the combination?AP EAMCET 2021 Easy