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A ball is projected with kinetic energy $E$ at an angle of $45^\circ$ to the horizontal. At the highest point during its flight, its kinetic energy will be:
The circuit represents a full wave bridge rectifier when switch $S$ is open. The output voltage ($V_0$) pattern across $R_L$ when $S$ is closed:
A small telescope has an objective of focal length $140\text{ cm}$ and an eyepiece of focal length $5.0\text{ cm}$. The magnifying power of the telescope for viewing a distant object is:
Two cars P and Q start from a point at the same time in a straight line and their positions are represented by $x_P(t) = at + bt^2$ and $x_Q(t) = ft - t^2$. At what time do the cars have the same velocity?
If the velocity of a particle is $v = At + Bt^2$, where $A$ and $B$ are constants, then the distance travelled by it between 1 s and 2 s is:
Two particles $A$ and $B$, move with constant velocities $\vec{v}_1$ and $\vec{v}_2$ respectively. At the initial moment, their position vectors are $\vec{r}_1$ and $\vec{r}_2$ respectively. The condition for particles $A$ and $B$ for their collision will be:
A particle starting from the origin $(0,0)$ moves in a straight line in the $(x,y)$ plane. Its coordinates at a later time are $(\sqrt{3}, 3)$. The path of the particle makes an angle of __________ with the $x$-axis:
A string of length $l$ is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is $2\text{ mm}$. The amplitude of a particle at a distance $l/8$ from the fixed end is:
If a particle moves in a circle describing equal angles in equal times, its velocity vector:
Three sound waves of equal amplitudes have frequencies of $(n-1), n,$ and $(n+1)$. They superimpose to give beats. The number of beats produced per second will be:
The position of a particle moving in the XY plane at any time $t$ is given by $x = (3t^2 - 6t)$ metres. Select the correct statement about the moving particle from the following.
Two circular coils 1 and 2 are made from the same wire but the radius of the 1st coil is twice that of the 2nd coil. What is the ratio of the potential difference applied across them so that the magnetic field at their centres is the same?
If we study the vibration of a pipe open at both ends, then which of the following statements is not true:
A current-carrying closed loop in the form of a right-angle isosceles triangle ABC is placed in a uniform magnetic field acting along AB. If the magnetic force on the arm BC is F, the force on the arm AC is:
An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced at the centre has a magnitude:
An electron is moving in a circular path under the influence of a transverse magnetic field of $3.57 \times 10^{-2}$ T. If the value of $e/m$ is $1.76 \times 10^{11}$ C/kg, the frequency of revolution of the electron is:
Two bodies are projected with the same velocity. If one is projected at an angle of $30^{\circ}$ and the other at an angle of $60^{\circ}$ to the horizontal, the ratio of the maximum heights reached is:
The energy equivalent of 0.5 g of a substance is:
A beam of electrons passes un-deflected through mutually perpendicular electric and magnetic fields. Where do the electrons move if the electric field is switched off and the same magnetic field is maintained?
A bullet is fired from a gun at the speed of $280 \text{ m s}^{-1}$ in the direction $30^{\circ}$ above the horizontal. The maximum height attained by the bullet is: ($g=9.8 \text{ m s}^{-2}, \sin 30^{\circ}=0.5$)