TS EAMCET · Physics · Oscillations
The time period of a simple pendulum is \(T\). When the length is increased by \(10 \mathrm{~cm}\), its period is \(T_1\). When the length is decreased by \(10 \mathrm{~cm}\), its period is \(T_2\). Then, relation between \(T, T_1\) and \(T_2\) is
- A \(\frac{2}{T_2}=\frac{1}{T_1^2}+\frac{1}{T_2^2}\)
- B \(\frac{2}{T_2}=\frac{1}{T_1^2}-\frac{1}{T_2^2}\)
- C \(2 T^2=T_1^2+T_2^2\)
- D \(2 T^2=T_1^2-T_2^2\)
Answer & Solution
Correct Answer
(C) \(2 T^2=T_1^2+T_2^2\)
Step-by-step Solution
Detailed explanation
\(T^2=4 \pi^2\left(\frac{l}{g}\right)\)...(i) \(T_1^2=4 \pi^2\left(\frac{l+10}{g}\right)\)...(ii) \(T_2^2=4 \pi^2\left(\frac{l-10}{g}\right)\)....(iii) Adding Eqs. (ii) and (iii), we get…
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 \(30 \mathrm{~kg}\) boy stands at the far edge of a floating plank, whose near edge is against the shore of a river. The plank is \(10 \mathrm{~m}\) long and weighs \(10 \mathrm{~kg}\). If the boy walks to the near edge of the plank, how far from the shore does the plank moveTS EAMCET 2018 Easy
- The temperature difference between the ends of two cylindrical rods \(A\) and \(B\) of the same material is \(2: 3\). In steady state the ratio of the rates of flow of heat through the rods \(A\) and \(B\) is \(5: 9\). If the radii of the rods \(A\) and \(B\) are in the ratio \(1: 2\), then the ratio of lengths of the rods \(A\) and \(B\) isTS EAMCET 2024 Medium
- Two coils have mutual inductance \(0.005 \mathrm{H}\). The current changes in the first coil according to equation \(I=I_0 \sin \omega t\), where \(I_0=10 \mathrm{~A}\) and \(\omega=100 \pi \mathrm{rad} \mathrm{s}\). The maximum value of induced emf in the second coil isTS EAMCET 2016 Medium
- Match the appropriate pairs from Lists I and II :
TS EAMCET 2006 Medium - A bullet of mass fired with a speed from passes through a block of wood whose centre is kept at a distance of from the origin as shown in figure. The retarding force on the bullet within the wooden block is . The minimum length of the block (upto one decimal digit) required to completely stop the bullet is (Assume )TS EAMCET 2019 Medium
- A convex lens with lateral magnification 2 is used to image a point at the bottom of a tank. The image of the point is formed \(60 \mathrm{~cm}\) above the lens. Now a liquid is filled into the tank to a height of \(24 \mathrm{~cm}\). It is found that the distance of the image of the same point is now \(120 \mathrm{~cm}\) above the lens. Find the refractive index of the liquid.TS EAMCET 2021 Hard
More PYQs from TS EAMCET
- A horizontal aluminium rod of diameter \(4 \mathrm{~cm}\) projected \(6 \mathrm{~cm}\) from a wall. An object of mass \(400 \pi \mathrm{kg}\) is suspended from the end of the rod. The shearing modulus of aluminium is \(3.0 \times 10^{10} \mathrm{~N} / \mathrm{m}^2\). The vertical deflection of the end of the rod is \(\left(\because g=10 \mathrm{~m} / \mathrm{s}^2\right)\)TS EAMCET 2019 Easy
- Assertion (A): In a elastic collision of two billiard balls, both kinetic energy and linear momentum remain conserved. Reason (R): During the collision of the balls, as the collision is elastic there is no exchange of energy. Therefore, both energy and momentum are conserved. The correct option among the following isTS EAMCET 2022 Easy
- Assertion (A) Rapidly changing temperatures can be measured by thermocouples.Reason (R) The thermal capacity of the junction of a thermocouple is very small.TS EAMCET 2004 Medium
- A bar of mass resting on a smooth horizontal plane starts moving due to force . The magnitude of the force remains constant with time. The force vector makes an angle with the horizontal which varies with the distance covered as . If the constant then the speed of the bar, when becomes equal to for the first time, is (Assume )TS EAMCET 2019 Medium
- The internal and external diameters of a hollow cylinder measured with vernier calipers are \((5.73 \pm 0.01) \mathrm{cm}\) and \((6.01 \pm 0.01) \mathrm{cm}\) respectively. Then the thickness of the cylinder wall isTS EAMCET 2024 Easy
- The distance between two nucleons for which the potential energy is minimum, isTS EAMCET 2021 Easy