JEE Mains · Physics · STD 11 - 3.1 vectors
Two forces \(\vec{F}_1\) and \(\vec{F}_2\) are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to the force of larger magnitude. The angle between \(\vec{F}_1\) and \(\overrightarrow{\mathrm{F}}_2\) is \(\cos ^{-1}\left(\frac{1}{\mathrm{n}}\right)\). The value of \(|\mathrm{n}|\) is __________.
- A \(6\)
- B \(7\)
- C \(8\)
- D \(9\)
Answer & Solution
Correct Answer
(A) \(6\)
Step-by-step Solution
Detailed explanation
\(\left|\overrightarrow{\mathrm{F}}_1\right|=\mathrm{F}\) \(\left|\overrightarrow{\mathrm{F}}_{\mathrm{R}}\right|=\left|\overrightarrow{\mathrm{F}}_2\right|=3 \mathrm{~F}\) \(\mathrm{~F}_{\mathrm{R}}^2=\mathrm{F}_1^2+\mathrm{F}_2^2+2 \mathrm{~F}_1 \mathrm{~F}_2 \cos \theta\)…
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 current of \(5\, A\) passes through a copper conductor (resistivity \(= 1.7\times10^{-8}\,\Omega \,m\)) of radius of cross-section \(5\, mm\). Find the mobility of the charges if their drift velocity is \(1.1\times10^{-3}\, m/s\) ................ \(m^2/Vs\)JEE Mains 2019 Medium
- Match List-I with List-II.
List-I List-II (A) Mass density (I) [ML2T-3] (B) Impulse (II) [MLT-1] (C) Power (III) [ML2T0] (D) Moment of inertia (IV) [ML-3T0]
Choose the correct answer from the options given below :JEE Mains 2025 Easy - An electron moves through a uniform magnetic field \(\vec{B}=B_0 \hat{i}+2 B_0 \hat{j} T\). At a particular instant of time, the velocity of electron is \(\overrightarrow{\mathrm{u}}=3 \hat{i}+5 \hat{j} \mathrm{~m} / \mathrm{s}\). If the magnetic force acting on electron is \(\vec{F}=5 e\hat kN\), where \(e\) is the charge of electron, then the value of \(\mathrm{B}_0\) is _______\(\mathrm{T}\).JEE Mains 2024 Hard
- For \(LED's\) to emit light in visible region of electromagnetic light, it should have energy band gap in the range ofJEE Mains 2014 Medium
- During the melting of a slab of ice at 273 K at atmospheric pressure :JEE Mains 2025 Easy
- A boy pushes a box of mass \(2\, kg\) with a force \(\overrightarrow{ F }=(20 \hat{ i }+10 \hat{ j }) N\) on a frictionless surface. If the box was initially at rest, then ........... \(m\) is displacement along the \(x-\)axis after \(10\, s\).JEE Mains 2021 Medium
More PYQs from JEE Mains
- The percentage decrease in the weight of a rocket, when taken to a height of \(32 km\) above the surface of earth will, be\(.....\%\) (Radius of earth \(=6400\,km\) )JEE Mains 2022 Medium
- If the solution curve of the differential equation \(\left(y-2 \log _e x\right) d x+\left(x \log _e x^2\right) d y=0, x > 1\) passes through the points \(\left(e, \frac{4}{3}\right)\) and \(\left(e^4, \alpha\right)\), then \(\alpha\) is equal to \(................\).JEE Mains 2023 Hard
- An ideal gas goes from an initial state to final state. During the process, the pressure of gas increases linearly with temperature.
A. The work done by gas during the process is zero.
B. The heat added to gas is different from change in its internal energy.
C. The volume of the gas is increased.
D. The internal energy of the gas is increased.
E. The process is isochoric (constant volume process)
Choose the correct answer from the options given below:JEE Mains 2025 Easy - Let \(S=\left\{E, E_{2} \ldots . E_{8}\right\}\) be a sample space of random experiment such that \(P\left(E_{n}\right)=\frac{n}{36}\) for every \(n =1,2 \ldots .\). Then the number of elements in the set \(\left\{ A \subset S : P ( A ) \geq \frac{4}{5}\right\}\) isJEE Mains 2022 Hard
- For a triangle ABC, let \( \vec{p}=\vec{BC}, \vec{q}=\vec{CA} \) and \( \vec{r}=\vec{BA} \). If \( |\vec{p}|=2\sqrt{3}, |\vec{q}|=2 \) and \( cos\hat{\theta}=\frac{1}{\sqrt{3}} \) where θ is the angle between \( \vec{P} \) and \( \vec{q} \) then \( |\vec{p}\times(\vec{q}-3\vec{r})|^{2}+3|\vec{r}|^{2} \) is equal to :JEE Mains 2026 Medium
- In the figure, given that \(V_{BB}\) supply can vary from \(0\) to \(5.0 \,V,\,\,V_{CC} = 5\,V,\) \(\beta _{dc} = 200,\,\,R_B = 100,\,k\Omega ,\) \(R_C = 1\,k\Omega \) an \(V_{BE} = 1.0\,V,\) The minimum base current and the input voltage at which the transistor will go to saturation, will be respectively
JEE Mains 2019 Hard