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A $8$ W carbon resistor is color coded with $YellowBlackBrownGold$ in the same order from left to right, then maximum current which can be passed through resistor is

In the figure shown, the tension at the mid – point of the rope of mass $3\text{kg}$ (point $B$) is $13\text{N}$. Find the force pulling the $5\text{kg}$ body.

For the arrangement shown in the figure, the force at the bottom of the vessel is [Take $g=10{\text{m/s}}^2$]

In a single slit diffraction experiment, light of wavelength $500\text{nm}$ passes through a slit of width $2\mu \text{m}$. If the intensity of the central maximum is $40{\text{Wm}}^{-2}$, then the intensity of a point on a screen at an angular position of $\theta ={30}^{\circ }$ is close to

Two stones of masses $m$ and $2m$ are whirled in horizontal circles. The heavier one is whirled in a circle of radius $\frac{r}{2}$ and the lighter one in a circle of radius $r$. The tangential speed of lighter stone is $n$ times that of the speed of heavier stone. If they experience the same centripetal forces, the value of $n$ is

Find the amount of work done in forming a soap film of size $5\text{cm}\times 15\text{cm}$, if surface tension is ${10}^{-2}\text{N/m}$.

A disc of mass m and radius R moves in the x-y plane as shown in the figure. The angular momentum of the disc at the instant shown is

If atmospheric electric field is approximately $150\text{V/m}$ and radius of the earth is $6400\text{km}$, then total charge on the earth's surface is

Two sound waves with wavelengths $5.0\text{m}$ and $5.5\text{m}$ respectively, each propagates in a gas with velocity $330\text{m/s}$. Number of beats heard per second is

The magnitude of force exerted by the brakes on the wheel of a motorcar, which is moving with a velocity of $72\text{km/h}$ and takes $5\text{s}$ to stop after the application of brakes, is -





Mass of the motorcar along with the passengers is $800\text{kg}$.

A uniform rod of mass $m$ and length $L$ can rotate freely on a smooth horizontal plane about a vertical axis hinged at point $O$. A point mass having same mass $m$ coming with an initial speed $u$ perpendicular to the rod, strikes the rod in-elastically at its free end. Find out the angular velocity of the rod just after collision?

For which of the following colour, the magnifying power of a microscope will be maximum

The potential difference between points $\text{A}$ and $\text{B}$ in the circuit shown in figure will be

A box $P$ and a coil $Q$ are connected in series with an $10\text{V}$$\text{AC}$ source of variable frequency. Box $P$ contains a capacitance of $1\mu \text{F}$ in series with a resistance of $32\Omega$. Coil $Q$ has a self inductance of $4.9\text{mH}$ and a resistance of $68\Omega$ in series. The frequency is adjusted so that maximum current flows in $P\text{and}Q$.





$\left(iii\right)$The voltage across box $P$ is



​​​​​​​$[$1 Mark$]$

In an electrical circuit, two resistors of $2\Omega$ and $4\Omega$ are connected in series to $6\text{V}$ battery. The heat dissipated by the $4\Omega$ resistor in $5\text{s}$ will be -

For the given system of charges, where should a third charge $+16q$ be placed from negative charge, so that third charge experiences no net force?

The time period of oscillation positively a charged spherical bob of a simple pendulum in a downward uniform electric field is.

Needles $N_1$, $N_2$ and $N_3$ are made up of ferromagnetic, paramagnetic and diamagnetic material, respectively. A magnet, when brought close to them, will :



$\left(I\right)$. Attract $N_1$ strongly, attract $N_2$ weakly and repel $N_3$.



$\left(II\right)$. Attract $N_1$ more strongly than $N_2$.



$\left(III\right)$. Attract $N_1$ and $N_2$ strongly but repel $N_3$.



$\left(IV\right)$. Attract all of them.

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

A ball falls on the ground from a height of 2.0 m and rebounds up to a height of 1.5 m.Find the coefficient of restitution.

A string of negligible mass going over a clamped pulley of mass $m$ supports a block of mass $M$ as shown in the figure. The force on the pulley by the clamp is

A particle of mass $1\text{kg}$ is initially at rest. A force starts acting on it in one direction whose magnitude changes with time. The (F - t) graph is shown in figure. The velocity of the particle at the end of $10\text{s}$ is

A
body describes simple harmonic motion with amplitude of 5 cm and a
period of 0.2 s. Find the acceleration and velocity of the body when
the displacement is (a) 5 cm, (b) 3 cm, (c) 0 cm.

A pendulum of mass m as hanging from the ceiling of a car having an acceleration $a_0$ with respect to the road. Find the angle made by the string with the vertical.

(i) Find range of the function $f\left(x\right)=\frac{1}{5-cos3x}$

(ii) If $f\left(x\right)=\sqrt{x^2+1}$ and $g\left(x\right)=2x^2+3,$ find

(a) $(f+g)\left(x\right)$ (b) $f\left[g\right(x\left)\right]$

(c) $(f-g)x$ (d) $\left(\frac{f}{g}\right)\left(x\right)$

How a massless thing(photon) can exist?

Calculate the time taken by the light to pass through a nucleus of diameter$1.3\times {10}^{-15}m$, if the speed of light is $3\times {10}^{8}m/s$.

The potential difference applied to an X-ray tube is 5 kV and the current through it is 3.2 mA. Then the number of electrons striking the target per second is

1. 0.985