JEE Mains · Physics · STD 11 - 13. oscillations
Time period of a simple pendulum in a stationary lift is ' \(T\) '. If the lift accelerates with \(\frac{ g }{6}\) vertically upwards then the time period will be ..... (where \(g =\) acceleration due to gravity)
- A \(\sqrt{\frac{6}{5}} T\)
- B \(\sqrt{\frac{5}{6}} T\)
- C \(\sqrt{\frac{6}{7}} T\)
- D \(\sqrt{\frac{7}{6}} T\)
Answer & Solution
Correct Answer
(C) \(\sqrt{\frac{6}{7}} T\)
Step-by-step Solution
Detailed explanation
\(T =2 \pi \sqrt{\frac{\ell}{ g _{\text {eff }}}}\) \((a)\) when \(a =0, T =2 \pi \sqrt{\frac{\ell}{ g }}\) \((b)\) when \(a =\frac{ g }{6}, T ^{\prime}=2 \pi \sqrt{\frac{\ell}{ g +\frac{ g }{6}}}\) \(\therefore T ^{\prime}=\sqrt{\frac{6}{7}} T\)
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
- 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
- The current flowing through \(R _2\) is:
JEE Mains 2023 Medium - \(\mathrm{A}, \mathrm{B}\) and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure.
The moment of inertia of the given system about \(P Q\) is \(\frac{X}{15} I\), where \(I\) is the moment of inertia of the disc about its diameter. The value of x is _______.JEE Mains 2025 Medium - A vector in \(x-y\) plane makes an angle of \(30^{\circ}\) with \(y\)-axis The magnitude of \(y\)-component of vector is \(2 \sqrt{3}\). The magnitude of \(x\)-component of the vector will beJEE Mains 2023 Medium
- An electrical bulb rated \(220\,V , 100\,W\), is connected in series with another bulb rated \(220\,V\), \(60\,W\).If the voltage across combination is \(220\,V\), the power consumed by the \(100\,W\) bulb will be about \(........... W\)JEE Mains 2022 Medium
- For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is \(1\,kg\), the angular frequency is \(\omega_1\). When the mass block is \(2\,kg\) the angular frequency is \(\omega_2\). The ratio \(\omega_2 / \omega_1\) is
JEE Mains 2023 Easy
More PYQs from JEE Mains
- Let \(\lambda \) be a real number for which the system of linear equations \(x + y + z = 6\)
; \(4x + \lambda y - \lambda z = \lambda - 2\) ; \(3x + 2y -4z = -5\) Has indefinitely many solutions. Then \(\lambda \) is a root of the quadratic equationJEE Mains 2019 Hard - A letter \('A'\) is constructed of a uniform wire with resistance \(1.0\,\Omega \) per \(cm\) , The sides of the letter are \(20\, cm\) and the cross piece in the middle is \(10\, cm\) long. The apex angle is \(60\) . The resistance between the ends of the legs is close to ................ \(\Omega\)JEE Mains 2013 Hard
- Let \(f\left( x \right) = {x^2} + \frac{1}{{{x^2}}}\) and \(g\left( x \right) = x - \frac{1}{x},\;x \in R - \left\{ { - 1,1,0} \right\}\). If \(h\left( x \right) = \frac{{f\left( x \right)}}{{g\left( x \right)}}\) then the local minimum value of \(h\left( x \right)\) is:JEE Mains 2018 Hard
- Let \(S=\{z \in \mathbb{C}: z^2+4z+16=0\}\). Then \(\sum_{z \in S}|z+\sqrt{3}i|^2\) is equal to:JEE Mains 2026 Medium
- Let \( f(x)=x^{3}+x^{2}f^{\prime}(1)+2x~f^{\prime\prime}(2)+f^{\prime\prime\prime}(3), x\in R. \) Then the value of \(f^{\prime}(5)\) is :JEE Mains 2026 Medium
- A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of \(24\,W\) The radius of curvature of hemisphere is \(10\,cm\) and the inner surface is completely reflecting. The force on the hemisphere due to the light falling on it is \(..........\times 10^{-8}\,N\).JEE Mains 2023 Hard