JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
A quantity \(x\) is given by \(\left( IF v^{2} / WL ^{4}\right)\) in terms of moment of inertia \(I,\) force \(F\), velocity \(v\), work \(W\) and Length \(L\). The dimensional formula for \(x\) is same as that of
- A Planck's constant
- B Force constant
- C Energy density
- D Coefficient of viscosity
Answer & Solution
Correct Answer
(C) Energy density
Step-by-step Solution
Detailed explanation
\(x=\frac{I F V^{2}}{W L^{4}}\) \([ x ]=\frac{\left[ ML ^{2}\right]\left[ MI T ^{-2}\right]\left[ L T ^{-1}\right]^{2}}{\left[ ML ^{2} T ^{-2}\right][ L ]^{4}}\) \([ x ]=\left[ ML ^{-1} T ^{-2}\right]\) [Energy density] \(=\left[\frac{ E }{ V }\right]\)…
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
- In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm. If the 20 maxima of the double slit pattern are contained within the centre maximum of the single slit diffraction pattern, then the width of each slit is \(\mathrm{x} \times 10^{-3} \mathrm{~cm}\), where x -value is ________.JEE Mains 2025 Easy
- Read the following statements: \((A)\) Volume of the nucleus is directly proportional to the mass number. \((B)\) Volume of the nucleus is independent of mass number. \((C)\) Density of the nucleus is directly proportional to the mass number. \((D)\) Density of the nucleus is directly proportional to the cube root of the mass number. \((E)\) Density of the nucleus is independent of the mass number. Choose the correct option from the following options.JEE Mains 2022 Medium
- \(\mathrm{A}, \mathrm{B}\) and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure.
The moment of inertia of the given system about \(P Q\) is \(\frac{X}{15} I\), where \(I\) is the moment of inertia of the disc about its diameter. The value of x is _______.JEE Mains 2025 Medium - Two charges \(\mathrm{q}_1\) and \(\mathrm{q}_2\) are separated by a distance of 30 cm. A third charge \(q_3\) initially at ' C ' as shown in the figure, is moved along the circular path of radius 40 cm from C to D. If the difference in potential energy due to movement of \(q_3\) from \(C\) to \(D\) is given by \(\frac{\mathrm{q}_3 \mathrm{~K}}{4 \pi \epsilon_0}\), the value of K is :
JEE Mains 2025 Easy - If the maximum value of accelerating potential provided by a ratio frequency oscillator is \(12\, {kV}\). The number of revolution made by a proton in a cyclotron to achieve one sixth of the speed of light is ....... . \(\left[{m}_{{p}}=1.67 \times 10^{-27} {kg}, {e}=1.6 \times 10^{-19} {C},\right.\) Speed of light \(\left.=3 \times 10^{8} {m} / {s}\right]\)JEE Mains 2021 Hard
- \(\frac{x}{x+4}\) is the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its \((i)\) third permitted energy level to the second level and \((ii)\) the highest permitted energy level to the second permitted level. The value of \(x\) will be.JEE Mains 2022 Medium
More PYQs from JEE Mains
- In an equilateral triangle \(PQR\), let the vertex \(P\) be at \((3, 5)\) and the side \(QR\) be along the line \(x + y = 4\). If the orthocentre of the triangle \(PQR\) is \((\alpha, \beta)\), then \(9(\alpha + \beta)\) is equal to:JEE Mains 2026 Hard
- A curved in a level road has a radius \(75\, m\). The maximum speed of a car turning this curved road can be \(30 \,m / s\) without skidding. If radius of curved road is changed to \(48\, m\) and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be .........\(m / s\).JEE Mains 2022 Medium
- A satellite is launched into a circular orbit of radius ' R ' around the earth. A second satellite is launched into an orbit of radius 1.03 R . The time period of revolution of the second satellite is larger than the first one approximately byJEE Mains 2025 Medium
- The value of the integral \(\int \limits_{1 / 2}^2 \frac{\tan ^{-1} x}{x} d x\) is equal toJEE Mains 2023 Hard
- If the remainder when \(x\) is divided by \(4\) is \(3 ,\) then the remainder when \((2020+ x )^{2022}\) is divided by \(8\) is ....... .JEE Mains 2021 Hard
- Match Column\(-I\) with Column\(-II :\) Choose the correct answer from the options given below:
JEE Mains 2023 Medium