AP 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 square frame of side \(1 \mathrm{~m}\) carrying a current \(I\) produces a magnetic field \(B\) at its centre. The same current is passed through a circular coil having the same perimeter as the square. The magnetic field at the centre of the circular coil is \(B^{\prime}\). The ratio of \(\frac{B}{B^{\prime}}\) isAP EAMCET 2021 Medium
- Two circular coils 1 and 2 are made from the same wire. The radius of the first coil is twice that of the second coil. What is the ratio of potential difference applied across them \(V_1 / V_2\), so that the magnetic field at their centre is the same?AP EAMCET 2021 Medium
- A calorimeter contains \(0.5 \mathrm{~kg}\) of water at \(30^{\circ} \mathrm{C}\). When \(0.3 \mathrm{~kg}\) of water at \(60^{\circ} \mathrm{C}\) is added to it, the resulting temperature is found to be \(40^{\circ} \mathrm{C}\). The water equivalent of the calorimeter isAP EAMCET 2020 Medium
- For a particle executing simple harmonic motion, the ratio of kinetic and potential energies at a point where displacement is one half of the amplitude isAP EAMCET 2025 Medium
- When two identical batteries of internal resistance \(1 \Omega\) each are connected in series across a resistor \(R\), the rate of heat produced in \(R\) is \(P_1\). When the same batteries are connected in parallel across \(R\), the rate of heat produced is \(P_2\). If \(\mathrm{P}_1=2.25 \mathrm{P}_2\), then the value of R isAP EAMCET 2025 Medium
- A body of mass 2 kg collides head on with another body of mass 4 kg . If the relative velocities of the bodies before and after collision are \(10 \mathrm{~ms}^{-1}\) and \(4 . \mathrm{ms}^{-1}\) respectively, the loss of kinetic energy of the system due to the collision isAP EAMCET 2024 Medium
More PYQs from AP EAMCET
- \(2 \mathrm{~kg}\) of ice at \(-20^{\circ} \mathrm{C}\) is mixed with \(5 \mathrm{~kg}\) of water at \(20^{\circ} \mathrm{C}\). Final mass of water formed isAP EAMCET 2017 Easy
- If the bisectors of the pair of lines is represented by , thenAP EAMCET 2021 Easy
- The set of values of \(x\) for which \(f(x)=3 x^4-8 x^3-6 x^2+24 x-12\) is an increasing function, isAP EAMCET 2018 Easy
- \[
\int\left(\frac{8^{1+x}+4^{1+x}}{2^{2 x}}\right) d x=
\]AP EAMCET 2023 Easy - A cylinder of mass \(12 \mathrm{~kg}\) is sliding on plane with an initial velocity \(20 \mathrm{~ms}^{-1}\). If the coefficient of friction between the surface and the cylinder is 0.5 , before stopping, the cylinder describes a distance ofAP EAMCET 2021 Medium
- If the diodes are ideal in the circuit given below, then the current through the cell is
AP EAMCET 2018 Easy