AP EAMCET · PHYSICS · Dual Nature of Matter
A proton when accelerated through a potential difference of \(V\), has a de-Broglie wavelength \(\lambda\) associated with it. If an \(\alpha\)-particle is to have the same de-Broglie wavelength \(\lambda\), it must be accelerated through a potential difference of
- A \(\frac{V}{8}\)
- B \(\frac{V}{4}\)
- C \(4 \mathrm{~V}\)
- D \(8 \mathrm{~V}\)
Answer & Solution
Correct Answer
(A) \(\frac{V}{8}\)
Step-by-step Solution
Detailed explanation
\(\lambda_p=\lambda_\alpha\) \((m q V)_p=(m q V)_\alpha\) Potential difference \(V_\alpha=\frac{V}{8} \quad\left[\begin{array}{c}\because m_\alpha=4 m_p \\ q_\alpha=2 q_p\end{array}\right]\)
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
- Masses \(m,\left(\frac{1}{2}\right) \frac{1}{2} m,\left(\frac{1}{2}\right)^2 \frac{1}{3} m \ldots\left(\frac{1}{2}\right)^{N-1}\)
\(\frac{1}{N} m \ldots \infty\) are placed at \(x=1,2,3, \ldots N, \ldots \infty\)
respectively. If the total mass is \(M\) then the centre of mass of the system isAP EAMCET 2022 Hard - Three rods each of length \(l\) and cross sectional area \(A\) joined in series between two heat reservoirs as shown in the figure. Their conductivities are \(2 K, K\) and \(\frac{K}{2}\), respectively. Assuming that the conductors are insulated from surroundings, the temperatures \(T_1\) and \(T_2\) of the junctions in steady state condition are respectively.
AP EAMCET 2019 Hard - A particle aimed at a target, projected with an angle \(15^{\circ}\) with the horizontal is short of the target by \(10 \mathrm{~m}\). If projected with an angle of \(45^{\circ}\) is away from the target by \(15 \mathrm{~m}\), then the angle of projection to hit the target isAP EAMCET 2015 Hard
- A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass numbers 80 and 120. If binding energy per nucleon for parent atom is \(6.5 \mathrm{MeV}\) and for daughter nuclii is \(7 \mathrm{MeV}\) and \(8 \mathrm{MeV}\) respectively, then the energy released in the decay will beAP EAMCET 2017 Easy
- A block has dimensions \(1 \mathrm{~cm}, 2 \mathrm{~cm}\) and 3 cm . Ratio of the maximum resistance to minimum resistance between any pair of opposite faces of the block isAP EAMCET 2024 Medium
- A body is projected with a speed \(u\) at an angle \(\theta\) with the horizontal. The radius of curvature of the trajectory, when it makes an angle \(\left(\frac{\theta}{2}\right)\) with the horizontal is ( \(g\)-acceleration due to gravity)AP EAMCET 2018 Medium
More PYQs from AP EAMCET
- A student holds a tuning fork oscillating at \(170 \mathrm{~Hz}\). He walks towards a wall at a constant speed of \(2 \mathrm{~ms}^{-1}\). The beat frequency observed by the student between the tuning fork and its echo is (Velocity of sound \(=340 \mathrm{~ms}^{-1}\) )AP EAMCET 2016 Medium
- Ethane on heating with a regulated supply of air at high pressure in presence of manganese acetate forms 'Q', 'Q' isAP EAMCET 2023 Medium
- Aniline is not the major product in one of the following reactions. Identify that reactionAP EAMCET 2003 Easy
- \({ }_6 \mathrm{C}^{12}\) and \({ }_1 \mathrm{~T}^3\) are formed in nature due to the nuclear reaction of neutron withAP EAMCET 2004 Easy
- In the circuit shown below, the ammeter reading is zero. Then the value of the resistance \(R\) is
AP EAMCET 2011 Medium - In Young's double slit experiment, the wavelength of monochromatic light is increased by \(20 \%\) and the distance between the two slits is decreased by \(25 \%\). If the initial fringe width is 0.3 mm, then the final fringe width isAP EAMCET 2025 Medium