D. C. Pandey Solutions for Chapter: JEE Main & Adv./BITSAT/KERALA CEE/KCET AP & TS EAMCET/VIT/MHT CET, Exercise 1: SOLVED PAPERS 2017

For a light nuclei, which of the following relation between the atomic number $\left(Z\right)$ and mass number $\left(A\right)$ is valid?

For a particle moving in vertical circle, the total energy at different positions along the path,

A simple pendulum of length $L$ has mass $M$ and it oscillates freely with amplitude $A.$ At extreme position, its potential energy is ($g=$ acceleration due to gravity),

A ceiling fan rotates about its own axis with some angular velocity. When the fan is switched off, the angular velocity becomes ${\left(\frac{1}{4}\right)}^{\mathrm{th}}$ of the original in time $t$ and $n$ revolutions are made in that time. The number of revolutions made by the fan during the time interval between switch off and rest are (angular retardation is uniform),

A disc of moment of inertia $I_1$ is rotating in horizontal plane about an axis passing through a center and perpendicular to its plane with constant angular speed ${\omega }_1.$ Another disc of moment of inertia $I_2$ having zero angular speed is placed co-axially on a rotating disc. Now, both the discs are rotating with constant angular speed ${\omega }_2.$ The energy lost by the initial rotating disc is,

A particle performs linear SHM at a particular instant, velocity of the particle is $u$ and acceleration is $\alpha$ while at another instant velocity is $v$ and acceleration is $\beta$ $\left(0<\alpha <\beta \right).$ The distance between the two position is,

The observer is moving with velocity $v_0$ towards the stationary source of sound and then after crossing moves away from the source with velocity $v_0.$  Assume that the medium through which the sound waves travel is at rest. If $v$ is the velocity of sound and $n$ is the frequency emitted by the source, then the difference between apparent frequencies heard by the observer is,

A metal rod of length $L$ and cross-sectional area $A$ is heated through $T °\mathrm{C}$. What is the force required to prevent the expansion of the rod lengthwise?