TS EAMCET · Physics · Mathematics in Physics
A certain vector in the \(x y\)-plane has an \(x\)-component of \(4 \mathrm{~m}\) and a \(y\)-component of \(10 \mathrm{~m}\). It is then rotated in the \(x y\)-plane so that its \(x\)-component is doubled. Then its new \(y\)-component is (approximately)
- A \(20 \mathrm{~m}\)
- B \(7.2 \mathrm{~m}\)
- C \(5.0 \mathrm{~m}\)
- D \(4.5 \mathrm{~m}\)
Answer & Solution
Correct Answer
(B) \(7.2 \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
Here, \(\mathbf{A}=4 \mathbf{i}+10 \mathbf{j}\) \(\begin{aligned} \therefore \quad|\mathrm{A}|=\sqrt{(4)^2+(10)^2} & =\sqrt{16+100} \\ & =\sqrt{116} \mathrm{~m} \end{aligned}\) Now, according to question, So,…
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 launching vehicle carrying an artificial satellite of mass \(m\) is set for launch on the surface of the earth of mass \(M\) and radius \(R\). If the satellite is intended to move in a circular orbit of radius \(7 R\), the minimum energy required to be spent by the launching vehicle on the satellite is \((\) Gravitational constant \(=G\) )TS EAMCET 2010 Medium
- 1. The focal lengths of the objective and the eyepiece of a compound microscope are \(2 \mathrm{~cm}\) and \(3 \mathrm{~cm}\) respectively and the distance between them is \(15 \mathrm{~cm}\). The final image formed by the eyepiece is at infinity. The distances of the object and the image produced by the object from the objective lens are respectivelyTS EAMCET 2023 Easy
- All gases deviate from gas laws atTS EAMCET 2020 Easy
- A beam of photons with an energy of strike a metal plate. The photoelectrons are emitted with maximum velocity of . The work function of the metal is
(Assume mass of electron and Charge of electron )TS EAMCET 2020 Easy - If the reading in Fahrenheit scale is twice the reading in Celsius scale, then the reading in Fahrenheit scale isTS EAMCET 2023 Easy
- A closed pipe is suddenly opened and changed to an open pipe of same length. The fundamental frequency of the resulting open pipe is less than that of 3rd harmonic of the earlier closed pipe by \(55 \mathrm{~Hz}\). Then, the value of fundamental frequency of the closed pipe isTS EAMCET 2014 Medium
More PYQs from TS EAMCET
- A block of mass 2 kg is tied to one end of a. 2 m long metal wire of \(1.0 \mathrm{~mm}^2\) area of cross-section and rotated in a vertical circle such that the tension in the wire is zero at the highest point. If the maximum elongation in the wire is 2 mm , the Young's modulus of the metal is (Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )TS EAMCET 2024 Hard
- A galvanometer, having a resistance of \(50 \Omega\), gives a full scale deflection for a current of 0.05 A. The length in metre of a resistance wire of area of cross-section \(2.97 \times 10^{-2} \mathrm{~cm}^2\) that can be used to convert the galvanometer into an ammeter which can read a maximum of 5 A current is : (Specific resistance of the wire\(\left.=5 \times 10^{-7} \Omega-\mathrm{m}\right)\)TS EAMCET 2003 Hard
- A conducting wire of cross-sectional area \(1 \mathrm{~cm}^2\) has \(3 \times 10^{23}\) charge carriers per \(\mathrm{m}^3\). If wire carries a current of \(24 \mathrm{~mA}\), then drift velocity of carriers isTS EAMCET 2020 Easy
- A metal disc of radius \(30 \mathrm{~cm}\) rotates with a constant angular velocity \(\omega=100 \mathrm{rad} / \mathrm{s}\) about its axis. Find the magnitude of potential difference between the centre and the rim of the disc of external uniform magnetic field of induction \(\mathrm{B}=4 \mathrm{mT}\) is directed perpendicular to the disc.TS EAMCET 2022 Medium
- A hydraulic lift as shown in the figure is used to lift a mass of \(1000 \mathrm{~kg}\), which is placed on a piston \(\left(P_1\right)\) of area \(1 \mathrm{~m}^2\). If the cross-section area of the piston \(\left(P_2\right)\) at the other end is \(0.01 \mathrm{~m}^2\), then how much mass needs to be put on it to lift the \(1000 \mathrm{~kg}\) ?
TS EAMCET 2020 Easy - An engine sounding a whistle of frequency \(2000 \mathrm{~Hz}\) is receding from the stationary observer at \(72 \mathrm{~km} / \mathrm{h}\). What is the apparent frequency of the observer? The velocity of sound in air is \(340 \mathrm{~m} / \mathrm{s}\).TS EAMCET 2020 Easy