The energy of a photon is equal to the kinetic energy of a
proton. The energy of the photon is E. Let $ \lambda_1 $ be the
de-Broglie wavelength of the proton and $ \lambda_2 $ be the
wavelength of the photon. The ratio $ \frac{\lambda_1}{\lambda_2} $
is proportional to
- $ E^0 $
- $ E^{\frac{1}{2}} $
- $ E^{-1} $
- $ E^{-2} $
The Correct Option is B
Solution and Explanation
Top Questions on Kinetic Energy
- A body of mass 2 kg is moving with a velocity of 3 m/s. What is its kinetic energy?
- VITEEE - 2025
- Physics
- Kinetic Energy
- A ball of mass 100 g is projected with velocity 20 m/s at \( 60^\circ \) with horizontal. The decrease in kinetic energy of the ball during the motion from point of projection to highest point is:
- JEE Main - 2025
- Physics
- Kinetic Energy
A bob of mass \(m\) is suspended at a point \(O\) by a light string of length \(l\) and left to perform vertical motion (circular) as shown in the figure. Initially, by applying horizontal velocity \(v_0\) at the point ‘A’, the string becomes slack when the bob reaches at the point ‘D’. The ratio of the kinetic energy of the bob at the points B and C is:
- JEE Main - 2025
- Physics
- Kinetic Energy
The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between \( t = 0 \) to \( t = 4s \)?
- JEE Main - 2025
- Physics
- Kinetic Energy
- A concave mirror produces an image of an object such that the distance between the object and image is 20 cm. If the magnification of the image is \( -3 \), then the magnitude of the radius of curvature of the mirror is:
- JEE Main - 2025
- Physics
- Kinetic Energy
Questions Asked in IIT JEE exam
Proton (P) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume mp = 1849me):
- IIT JEE - 2023
- Stereoisomers
- If the weight of an object on earth's surface is 400 N, then weight of the same particle at a depth \(\frac{R}{2}\) from surface would be (R is radius of earth)
- IIT JEE - 2023
- Stereoisomers
- The major product of the following reaction is
- IIT JEE - 2022
- Hydrocarbons
- Let $ \alpha ( a) \, and \, \beta (a) $ be the roots of the equation $ (\sqrt [3] {1 + a} - 1) x^2 - (\sqrt {1 + a} - 1) x + (\sqrt [ 6] {1 + a} - 1) = 0$, where a > - 1. Then, $ lim_{a \to 0^+ } $, $ \alpha (a) \, and \, lim_{a \to 0^+ } \beta $ (a) are
- IIT JEE - 2012
- Quadratic Equations
- Let $f:(-1,1)\rightarrow$ R be such that $f(cos 4 \theta)=\frac{2}{2-sec^2 \theta}$ for $\theta \in \Bigg(0,\frac{\pi}{4}\Bigg)\cup\Bigg(\frac{\pi}{4},\frac{\pi}{2}\Bigg).$ Then, the value(s) of $f\Bigg(\frac{1}{3}\Bigg)$ is are
- IIT JEE - 2012
- Functions
Concepts Used:
Kinetic energy
Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.
