TS EAMCET · Physics · Motion In One Dimension
Two trains \(A\) and \(B\) travel in two parallel rail tracks in opposite direction with speed \(v_1\) and \(v_2\), respectively. They talse \(4 \mathrm{~s}\) to pass each other at this speed. If the speed of \(\operatorname{train} A\) is increased by \(50 \%\), then they talse \(3 \mathrm{~s}\) to pass each other. The ratio of \(v_1 / v_2\) is
- A 0.5
- B \(1: 5\)
- C \(2: 1\)
- D \(2: 5\)
Answer & Solution
Correct Answer
(C) \(2: 1\)
Step-by-step Solution
Detailed explanation
Relative velocity of trains \(=v_1+v_2\) Let distance between them is \(s\). (i) First they take \(4 s\) to cross \[ s=\left(v_2+v_2\right) 4 \] (ii) Second they take \(3 s\) to cross, when speed of train \(A\) is increased by \(50 \%\). Now, relative velocity…
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
- The van der Waals' equation for a gas is \[ \left(P+\frac{a}{V^2}\right)(V-b)=n R T \] where \(P, V, R, T\) and \(n\) represent the pressure, volume, universal gas constant, absolute temperature and number of moles of a gas, respectively. \(a\) and \(b\) are constants. The ratio \(\frac{b}{a}\) will have the following dimensional formula.TS EAMCET 2002 Medium
- A small object is thrown at an angle \(45^{\circ}\) to the horizontal with an initial velocity \(\mathbf{v}_0\). The velocity is averaged for first \(\sqrt{2} \mathrm{~s}\) and the magnitude of average velocity comes out to be same as that of initial velocity, i.e. \(\left|\mathbf{v}_{\mathrm{o}}\right|\). The magnitude \(\left|\mathbf{v}_0\right|\) will be (take, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )TS EAMCET 2018 Medium
- Starting from rest, the time taken by a body sliding down on a rough inclined plane at \(45^{\circ}\) with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction isTS EAMCET 2008 Hard
- A cubical block of wood having mass of \(160 \mathrm{~g}\) has a metal piece fastened underneath as shown in the figure. Find the maximum mass of the metal piece which will allow the block to float in water. Specific gravity of wood is 0.8 and that metal is 10 and density of water \(=1 \mathrm{~g} / \mathrm{cc}\).
TS EAMCET 2020 Medium - One litre of oxygen at a pressure of \(1 \mathrm{~atm}\) and two litres of nitrogen at a pressure of \(0.5 \mathrm{~atm}\), are introduced into a vessel of volume \(1 \mathrm{~L}\). If there is no change in temperature, the final pressure of the mixture of gas (in atm) isTS EAMCET 2008 Hard
- At a given instant of time the position vector of a particle moving in a circle with a velocity \(3 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) is \(\hat{\mathbf{i}}+9 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}\). Its angular velocity at that time isTS EAMCET 2005 Medium
More PYQs from TS EAMCET
- The work function of a photosensitive metal surface is 1.1 eV . Two light beams of energies 1.5 eV and 2 eV incident on the metal surface. The ratio of the maximum velocities of the emitted photoelectrons isTS EAMCET 2024 Medium
- If the kinetic energy of a body moving with a velocity of \((2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-4 \hat{\mathrm{k}}) \mathrm{ms}^{-1}\) is 87 J, then the mass of the body isTS EAMCET 2025 Easy
- An electron collides with a hydrogen atom in its grownd state and excites it to \(n=3\) state. The energy given to the hydrogen atom in this inelastic collision (neglecting the recoil of hydrogen atom) isTS EAMCET 2017 Easy
- \(n\) conducting wires of same dimensions but having restivities \(1,2,3, . . n\) are connected in series. The equivalent resistivity of the combination isTS EAMCET 2004 Medium
- The work function of the nickel is \(5 \mathrm{eV}\). When a light of wavelength \(2000 Å\) falls on it, it emits photoelectrons in the circuit. Then the potential difference necessary to stop the fastest electrons emitted is (given \(\left.h=6.67 \times 10^{-34} \mathrm{~J}-\mathrm{s}\right)\)TS EAMCET 2007 Medium
- Match Column A (layers in the ionosphere for skywave propagation) with Column B (their height range)
\(\begin{array}{llll}\mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D}\end{array}\)TS EAMCET 2012 Easy