List of practice Questions

Which of the following functions is periodic?
A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity $\omega$. Two objects, each of mass m, are attached gently to the opposite ends of a diameter of the ring. The wheel now rotates with an angular velocity
A conducting circular loop of radius r carries a constant current i . It is placed in a uniform magnetic field $B_0$ such that $B_0$ is perpendicular to the plane of the loop. The magnetic force acting on the loop is
The centre of the circle passing through the point (0, 1)and touching the curve $y = x^2 at (2,4)$ is
AB is a diameter of a circle and C is any point on the circumference of the circle. Then,
Type of bonds present in $CuSO_4 . 5H_2O$ are only
Chlorine acts as a bleaching agent only in the presence Of
Heavy water is
In the alumino-thermite process, aluminium acts as
Faraday's laws of electrolysis are related to the
When propyne is treated with aqueous $H_2SO_4$ , in the presence of $HgSO_4$ , the product formed is
If elements with principal quantum number $n > 4$ were not allowed in nature, the number of possible elements would be
Consider the spectral line resulting from the transition $n=2\rightarrow n=1$ in the atoms and ions given below. The shortest wavelength is produced by
Which one among the following does not have the hydrogen bond?
The ion that is isoelectronic with CO is
Among the following, the compound that can be most readily sulphonated is
The precipitate of C$aF_2, \, ( K_{sp} = 1.7 \times 10^{ - 10 } )$ is obtained, when equal volumes of which of the following are mixed?
The largest interval for which $ x^{12} - x^9 + x^4 - x + 1 > 0 $ is
Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are $v$ and $2v$ at any instant, then the speed of centre of mass of the system will be
A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm. The power of the combination is
The threshold wavelength for photoelectric emission from a material is $5200\mathring{A}$. Photoelectrons will be emitted when this material is illuminated with monochromatic radiation from a
In the arrangement shown in the figure, the ends P and Q of an unstretchable string move downwards with uniform speed U. Pulleys A and B are fixed. Mass M moves upwards with a speed
A particle is moving eastwards with a velocity of $5\, m / s$. In $10\, s$ the velocity changes to $5\, m / s$ northwards. The average acceleration in this time is
In the Young's double slit experiment, the interference pattern is found to have an intensity ratio between the bright and dark fringes as 9, This implies that
Helium atom is two times heavier than a hydrogen molecule. At $298\, K$ the average kinetic energy of a helium atom is