TS EAMCET · Physics · Motion In Two Dimensions
The velocity of a particle having magnitude of \(10 \mathrm{~ms}^{-1}\) in the direction of \(60^{\circ}\) with positive \(\mathrm{X}\)-axis is
- A \(5 \hat{i}-5 \sqrt{3} \hat{j}\)
- B \(5 \sqrt{3} \hat{\mathrm{i}}-5 \hat{\mathrm{j}}\)
- C \(5 \sqrt{3} \hat{\mathrm{i}}+5 \hat{\mathrm{j}}\)
- D \(5 \hat{i}+5 \sqrt{3} \hat{j}\)
Answer & Solution
Correct Answer
(D) \(5 \hat{i}+5 \sqrt{3} \hat{j}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \vec{v}=v \cos \theta \hat{i}+v \sin \theta \hat{j} \\ & =10 \cos 60 \hat{i}+10 \sin 60 \hat{j} \\ & =10 \times \frac{1}{2} \hat{i}+10 \times \frac{\sqrt{3}}{2} \hat{j} \\ & =5 \hat{i}+5 \sqrt{3} \hat{j}\end{aligned}\)
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 body falls freely from a height ' \(\mathrm{h}\) ' on a fixed horizontal plane and rebounds. If ' \(\mathrm{e}\) ' is the coefficient of restitution, the total distance travelled before it comes to rest isTS EAMCET 2023 Medium
- A ring has a mass \(M\) and radius \(R\). The distance of the point on its geometric axis from its centre at which the gravitational field is strongest isTS EAMCET 2023 Easy
- Two uniform strings \(A\) and \(B\) made of steel are made to vibrate under the same tension. If the first overtone of \(A\) is equal to the second overtone of \(B\) and if the radius of \(A\) is twice that of \(B\), the ratio of the lengths of the strings is :TS EAMCET 2003 Medium
- In the following nuclear reaction \(\mathrm{x}\) is \({ }_{13} \mathrm{Al}^{27}+{ }_2 \mathrm{He}^4 \rightarrow\) \({ }_0^{n^1+\mathrm{X}}\)TS EAMCET 2023 Medium
- Choose the incorrect statement from the following.TS EAMCET 2018 Easy
- In a meter bridge a \(30 \Omega\) resistance is connected in the left gap and a pair of resistances \(P\) and \(Q\) in the right gap. Measured from the left, the balance point is \(37.5 \mathrm{~cm}\), when \(P\) and \(Q\) are in series and \(71.4 \mathrm{~cm}\) they are in parallel. The values of \(P\) and \(Q\) (in \(\Omega\) ) areTS EAMCET 2005 Hard
More PYQs from TS EAMCET
- The velocity \(v\) reached by a car of mass \(m\) at certain distance from the starting point driven with constant power \(P\) is such thatTS EAMCET 2012 Easy
- An object is placed at a certain distance left to a convex lens of focal length \(20 \mathrm{~cm}\). Find the distance of the object if the image obtained is magnified by 4 times.TS EAMCET 2020 Medium
- A body is projected from the ground at an angle of \(\tan ^{-1}(\sqrt{7})\) with the horizontal. At half of the maximum height, the speed of the body is ' \(n\) ' times the speed of projection. The value of ' \(n\) ' isTS EAMCET 2024 Medium
- Two coherent plane waves of identical frequency, polarization and intensity interfere at a point where they differ in phase by . What is the resulting intensity?TS EAMCET 2020 Easy
- An initially charged undriven \(L C R\) circuit having inductance \(L\), capacitance \(C\) and resistance \(R\) will beTS EAMCET 2018 Hard
- If the magnetic field of a plane electromagnetic wave is given by \(5 \times 10^{-6} \sin \left(0.6 \times 10^2 x+0.5 \times 10^{10} t\right)\), then the speed of the wave isTS EAMCET 2018 Easy