AP EAMCET · PHYSICS · Motion In Two Dimensions
An object of mass \(2 m\) is projected with a speed of \(100 \mathrm{~ms}^{-1}\) at an angle \(\theta=\sin ^{-1}\left(\frac{3}{5}\right)\) to the horizontal. At the highest point, the object breaks into two pieces of same mass \(m\) and the first one comes to rest. The distance between the point of projection and the point of landing of the bigger piece (in metre) is
(Given, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )
- A \(3840\)
- B \(1280\)
- C \(1440\)
- D \(960\)
Answer & Solution
Correct Answer
(C) \(1440\)
Step-by-step Solution
Detailed explanation
Horizontal range of the object fired, \(R=\frac{u^2 \sin 2 \theta}{g}\) At the highest point, when object is exploded into two equal masses, then \(2 m u \cos \theta=m(0)+m v\) or \(v=2 u \cos \theta\) It means, the horizontal velocity becomes double at the highest point, hence…
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 slopes of the isothermal and adiabatic \(p-V\) graphs of a gas are by \(S_I\) and \(S_A\) respectively. If the heat capacity ratio of the gas is \(\frac{3}{2}\), then \(\frac{S_I}{S_A}=\)AP EAMCET 2022 Medium
- A coil of 45 turns and radius 4 cm is placed in a uniform magnetic field such that its plane is perpendicular to the direction of the field. If the magnetic field increases from 0 to 0.70 T at a constant rate in a time interval of 220 s, then the induced emf in the coil isAP EAMCET 2025 Medium
- Two concentric coils of 10 turns each are placed in the same plane. Their radii are \(20 \mathrm{~cm}\) and \(40 \mathrm{~cm}\) and carry 0.2 and \(0.3 \mathrm{~A}\). current respectively in opposite directions. The magnetic induction (in T) at the centre isAP EAMCET 2008 Medium
- \(\Delta W=0\), for the processAP EAMCET 2021 Easy
- A car moving with a certain velocity, jumps from an inclined plane placed at one bank of a river and reaches the other bank by attained a maximum height of \(80 \mathrm{~m}\). If the same car, moving with the same velocity jumps from another inclined plane having different angle of inclination and reaches the same point on the other bank by attaining maximum height of \(45 \mathrm{~m}\), then the width of the river isAP EAMCET 2019 Hard
- Figure shows a straight wire placed between the pole pieces of a magnet. Induced emf will be developed across the ends of the wire
when it is moved towards.
AP EAMCET 2021 Medium
More PYQs from AP EAMCET
- If \(\sin A+\sin B=\frac{1}{2}\) and \(\cos A+\cos B=1\), then \(\sin \left(\frac{A-B}{2}\right)\) equalsAP EAMCET 2020 Medium
- If \(\omega\) is a complex cube root of unity, then
\(\sin \left[\left(\omega^{10}+\omega^{23}\right) \pi-\frac{\pi}{4}\right]=\)AP EAMCET 2023 Easy - In a \(\triangle A B C\), if \(b=2, c=3\) and \(\angle B=\frac{\pi}{6}\), then \(a\) satisfies the equationAP EAMCET 2021 Easy
- Match the following compounds with their corresponding physical properties:
Column-I Column-II (a) (i) Orange solid (b) (ii) Yellow-green liquid (c) (iii) Black solid (d) (iv) Colorless gas AP EAMCET 2021 Medium - Pure silicon doped with phosphorus isAP EAMCET 2015 Easy
- \(\mathrm{pH}\) of a buffer solution decreases by 0.02 units when \(0.12 \mathrm{~g}\) of acetic acid is added to \(250 \mathrm{~mL}\) of a buffer solution of acetic acid and potassium acetate at \(27^{\circ} \mathrm{C}\). The buffer capacity of the solution isAP EAMCET 2009 Hard