JEE Mains · Physics · STD 11 - 4.1 newtons laws of motion
A small block of mass \(100\,g\) is tied to a spring of spring constant \(7.5\,N / m\) and length \(20\, cm\). The other end of spring is fixed at a particular point \(A\). If the block moves in a circular path on a smooth horizontal surface with constant angular velocity \(5\,rad / s\) about point \(A\), then tension in the spring is \(.........\,N\)
- A \(1.5\)
- B \(0.75\)
- C \(0.25\)
- D \(0.50\)
Answer & Solution
Correct Answer
(B) \(0.75\)
Step-by-step Solution
Detailed explanation
Let extension in length of spring be \(x\). Radius of circle \(r=0.2+ x\) \(Kx = m \omega^2 r\) \(7.5 x =\left(\frac{1}{10}\right)\left(5^2\right)(0.2+ x )\) \(\Rightarrow \frac{15}{2} x =\frac{5}{2}\left( x +\frac{1}{5}\right)\) \(\Rightarrow x =\frac{1}{10}\)…
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
- Electromagnetic waves travel in a medium with speed of \(1.5 \times 10^8 \mathrm{~ms}^{-1}\). The relative permeability of the medium is \(2.0\) . The relative permittivity will be _______.JEE Mains 2024 Hard
- A straight magnetic strip has a magnetic moment of \(44 \mathrm{Am}^2\). If the strip is bent in a semicircular shape, its magnetic moment will be _______\(\mathrm{Am}^2\) \(\left(\right.\) Given \(\left.\pi=\frac{22}{7}\right)\)JEE Mains 2024 Hard
- The range of the projectile projected at an angle of \(15^{\circ}\) with horizontal is \(50\,m\). If the projectile is projected with same velocity at an angle of \(45^{\circ}\) with horizontal, then its range will be \(........\,m\)JEE Mains 2023 Medium
- Eight copper wire of length \(l\) and diameter \(d\) are joined in parallel to form a single composite conductor of resistance \(R\). If a single copper wire of length \(2\,l\) have the same resistance \((R)\) then its diameter will be \(.....d\).JEE Mains 2022 Easy
- The speed verses time graph for a particle is shown in the figure. The distance travelled (in \(m\) ) by the particle during the time interval \(t=0\) to \(t=5\, s\) will be
JEE Mains 2020 Easy - A current carrying circular loop of radius \(2\) cm with unit normal \(\hat{n} = \dfrac{\hat{k}+\hat{i}}{\sqrt{2}}\) is placed in a magnetic field, \(\vec{B} = B_0(3\hat{i}+2\hat{k})\). If \(B_0 = 4\times 10^{-3}\) T and current \(I=100\sqrt{2}\) A, the torque experienced by the loop is ________ Wb·A. (\(\pi=3.14\))JEE Mains 2026 Hard
More PYQs from JEE Mains
- In \(Li^{++},\) electron in first Bohr orbit is excited to a level by a radiation of wavelength \(\lambda .\) When the ion gets deexcited to the ground state in all possible ways(including intermediate emission) a total of six spectral lines are observed. What is the value of \(\lambda \)?.....\(nm\) (Given: \(h = 6.63\times 10^{34}\,js; e = 3 \times 10^8\,ms^{-1}\) )JEE Mains 2019 Hard
- Let \({\left( {x + 10} \right)^{50}} + {\left( {x - 10} \right)^{50}} = {a_0} + {a_1}x + {a_2}{x^2} + .... + {a_{50}}{x^{50}}\) , for \(x \in R\); then \(\frac{{{a_2}}}{{{a_0}}}\) is equal toJEE Mains 2019 Hard
- The integral \(\int\left(\left(\frac{x}{2}\right)^x+\left(\frac{2}{x}\right)^x\right) \log _2 x d x\) is equal toJEE Mains 2023 Hard
- An ideal gas occupies a volume of \(2\, m^3\) at a pressure of \(3\times10^6\, Pa\). The energy of the gas isJEE Mains 2019 Medium
- Let \(S =(0,2 \pi)-\left\{\frac{\pi}{2}, \frac{3 \pi}{4}, \frac{3 \pi}{2}, \frac{7 \pi}{4}\right\}\). Let \(y =\) \(y ( x ), x \in S\), be the solution curve of the differential equation \(\frac{ dy }{ dx }=\frac{1}{1+\sin 2 x }, y \left(\frac{\pi}{4}\right)=\frac{1}{2}\). if the sum of abscissas of all the points of intersection of the curve \(y=y(x)\) with the curve \(y=\sqrt{2} \sin x\) is \(\frac{k \pi}{12}\), then \(k\) is equal toJEE Mains 2022 Hard
- During an adiabatic compression, \(830\, J\) of work is done on \(2\, moles\) of a diatomic ideal gas to reduce its volume by \(50\%\). The change in its temperahture is nearly..... \(K\) \((R\, = 8.3\, J\,K^{-1}\, mol^{-1} )\)JEE Mains 2014 Medium