If \(E = \frac{(A-x^2)}{Bt}\) where \(E\) is energy, \(x\) is displacement and \(t\) is time. Find dimensions of \(AB\)
- \([M^{–1}L ^2T]\)
- \([ML^2T^{–1 }]\)
- \([M^{–1}L^ 2T^{–2 }]\)
- \([ML^2T^{–2} ]\)
The Correct Option is A
Solution and Explanation
The Correct Option is (A) : \([M^{–1}L ^2T]\)
Top Questions on distance and displacement
- A planet at distance r from the sun takes 200 days to complete one revolution around the sun. What will be the time period for a planet at distance \(\frac{r}{4}\) from the sun?
- JEE Main - 2024
- Physics
- distance and displacement
- At what distance above and below the surface of the earth a body will have the same weight (take radius of earth as R)?
- JEE Main - 2024
- Physics
- distance and displacement
- A thin infinite sheet charge and an infinite line charge of respective charge densities +σ and +λ are placed parallel at 5 m distance from each other. Points ‘P’ and ‘Q’ are at \(\frac{3}{π} \)m and \(\frac{4}{π}\) m perpendicular distance from line charge towards sheet charge, respectively. ‘EP’ and ‘EQ’ are the magnitudes of resultant electric field intensities at point ‘P’ and ‘Q’, respectively. If \(\frac{E_p}{E_Q} =\frac{ 4}{a}\) for 2|σ| = |λ|. Then the value of a is _______.
- JEE Main - 2023
- Physics
- distance and displacement
- A ball is released from a height h. If t1 and t2 be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between t1 and t2..
- JEE Main - 2022
- Physics
- distance and displacement
- A ball of mass 100 g is dropped from a height h =10 cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance \(\frac{ℎ}{2}\).The spring constant is ______ Nm–1. (Use g = 10 ms-2)
- JEE Main - 2022
- Physics
- distance and displacement
Questions Asked in JEE Main exam
In the given figure, the blocks $A$, $B$ and $C$ weigh $4\,\text{kg}$, $6\,\text{kg}$ and $8\,\text{kg}$ respectively. The coefficient of sliding friction between any two surfaces is $0.5$. The force $\vec{F}$ required to slide the block $C$ with constant speed is ___ N.
(Given: $g = 10\,\text{m s}^{-2}$)
- JEE Main - 2026
- Rotational Mechanics
- The system of linear equations
$x + y + z = 6$
$2x + 5y + az = 36$
$x + 2y + 3z = b$
has- JEE Main - 2026
- Matrices and Determinants
Method used for separation of mixture of products (B and C) obtained in the following reaction is:
- JEE Main - 2026
- p -Block Elements
- The moment of inertia of a square loop made of four uniform solid cylinders, each having radius R and length L (\(R \le L\)) about an axis passing through the mid points of opposite sides, is (Take the mass of the entire loop as M) :
- JEE Main - 2026
- Kinematics
Which of the following best represents the temperature versus heat supplied graph for water, in the range of \(-20^\circ\text{C}\) to \(120^\circ\text{C}\)?
- JEE Main - 2026
- Thermodynamics
Concepts Used:
Distance and Displacement
Distance
Distance is the sum of the length of the path traveled by an object from one place to another. The path may or may not be directly from the initial point to the final point. It is a scalar quantity that only has a magnitude, and does not have any direction.
Speed = Distance / Time
Distance= Speed x Time
D = S x T
Displacement
Displacement is the length of the shortest path from the initial point to the final point. It is a vector quantity that has magnitude as well as direction.
Velocity= Displacement / Time Therefore,
Displacement = Velocity x Time.
D = V x T
The Difference Between Distance and Displacement are:
