List of practice Questions

Rms velocity of hydrogen at which temperature is equal to that of the oxygen molecule at \(47 \degree\)
If the area of cross-section is halved and length of a wire having Young's modulus Y is doubled, then its new Young's modulus will be
A particle is having uniform acceleration. If its displacement from t to \((t + 1)\) second is \(120 \) \(m\) and change in velocity is \(50 \;m/s\). Find its displacement (in m) in \((t + 2)^{th}\) second
Distance between virtual image, which is twice the size of object placed in front of mirror and object is 45 cm. The magnitude of focal length of the mirror is _____cm.
A block of mass \(2\) \(kg\) is placed on a disc which is rotating at constant angular velocity \(4\) \(rad/sec\). Find the friction force in (N) between block and disc if block is not sliding.
Which of the following has allylic halogen?
Find the current through Zener diode if its breakdown voltage is 5 V.
the current through Zener diode if its breakdown voltage is 5 V

Theratio of the magnitude of the kinetic energy to the potential energy of an electron in the 5th excited state of a hydrogen atom is:

Type of amino acids obtained by hydrolysis of proteins is:

Area under the curve \(x^2 + y^2 = 169\) and below the line \(5x - y = 13\) is:
If \(f(x) =   \begin{cases}     2+2x  & ;x∈(-1,0)\\     1-\frac x3  & ;x∈[0,3)  \end{cases}\) and \(g(x) =   \begin{cases}     x  & ;x∈[0,1)\\     -x & ;x∈(-3,0)  \end{cases}\). Then range of \(fog(x)\) is
In an increasing arithmetic progression \(a_1, a_2,..., a_n\) if \(a_6 = 2\) and product of \(a_1\), \(a_5\) and \(a_4\) is greatest, then the value of d is equal to
Given data \(60, 60, 44, 58, 68, α, β, 56\) has mean \(58\), variance = \(66.2\), then find \(α^2 + β^2\).
A solid cylinder is placed gently over an incline plane of inclination \(60°\). The acceleration of cylinder when it start rolling without slipping is \(\frac{g}{\sqrt x}\) where \(μ\) is the coefficient of friction. [take \(g\) = \(10\;m / (s ^ 2)\) ]
A solid cylinder is placed gently over an incline plane of inclination 60°
If : \(|z + 1| = αz + ß(i + 1)\) and \(z = \frac 12 - 2i\), find \(α + ß\).
A particle is executing simple harmonic motion along the \(x - axis\), with amplitude \(A\), about the origin. Then the ratio of Kinetic energy and total energy at \(x = \frac{A}{3}\) is
If \(\frac {dy}{dx} - \frac {(sin2x)}{(1+cos^2x)}y = \frac {sinx}{1+cos^2x }\)and \(y(0) =0\) then \(y(\frac \pi2)\) is ………..
In the given circuit, the breakdown voltage of the Zener diode is 3.0 V. What is the value of Iz ?
Zener Diode
An electron is moving with the speed of \(1\) \(m/s\) at a distance of \(1\) \(m\), from a large sheet of charge with density \(σ\) \(C/m^2\). Find the maximum value of \(σ\) such that electron hits the sheet after \(1\) \(sec\). (mass of electron = \(9 × 10^{-31}\) kg, Permittivity of free space = \(9\times10^{12}\;C^2/Nm^2\)

Consider a series of steps as shown. A ball is thrown from 0. Find the minimum speed to directly jump to 5th step
Figure

Potential energy function corresponding to conservative force is given as  \(U(x, y, z) = \frac{3x^2}{2} + 5y + 6z\) then the force at \(x = 6\) is \(pN\). The value of \(p\) upto \(2\) its nearest integral value is
In a container, 1 g of hydrogen and 1 g of oxygen are taken. Find the ratio of hydrogen pressure to oxygen pressure.
A biconvex lens of refractive index 1.5 has a focal length of 20 cm in air. Its focal length when immersed in a liquid of refractive index 1.6 will be:
If electric current passing through a conductor varies with time as \(I = 10 + A \;ẞt\), where \(I_o = 20 A\), \(B = \frac{3A}{S}\), then find charge flow through the conductor in first \(10\) sec is
A gas undergoes a cyclic process ABCA as shown. Find the work done by the gas from A→B→C.