KCET 2018

Which of the following graphs correctly represents the variation of $g$ on the Earth?

A mass $m$ on the surface of the Earth is shifted to a target equal to the radius of the Earth. If $R$ is the radius and $M$ is the mass of the Earth, then work done in this process is

Pressure of an ideal gas is increased by keeping temperature constant. The kinetic energy of molecules

A cup of tea cools from $65.5^{\circ} \mathrm{C}$ to $62.5^{\circ} \mathrm{C}$ in 1 min in a room at $22.5^{\circ} \mathrm{C}$. How long will it take to cool from $46.5^{\circ} \mathrm{C}$ to $40.5^{\circ} \mathrm{C}$ in the same room?

A Carnot engine takes 300 calories of heat from a source at 500 K and rejects 150 calories of heat to the sink. The temperature of the sink is

A block rests on a rough inclined plane making an angle of $30^{\circ}$ with the horizontal, The coefficient of static friction between the block and the plane is 0.8 . If the frictional force on the block is 10 N , the mass of the block is...

A man weighing 60 kg is in a lift moving down with an acceleration of $1.8 \mathrm{~ms}^{-2}$. The force exerted by the floor on him is

The strength of the Earth's magnetic field is

Needles $N_1, N_2$ and $N_3$ are made of a ferromagnetic, a paramagnetic and adiamagnetic substance, respectively. A magnet when brought close to them will

A jet plane having a wing-span of 25 m is travelling horizontally towards East with a speed of $3600 \mathrm{~km} / \mathrm{hr}$. If the Earth's magnetic field at the location is $4 \times 10^{-4} \mathrm{~T}$ and the angle of dip is $30^{\...

A particle shows distance-time curve as shown in the figure. The maximum instantaneous velocity of the particle is around the point.

The correct Biot-Savart law in vector form is

A charge $q$ is accelerated through a potential difference $V$. It is then passed normally through a uniform magnetic field, where it moves in a circle of radius $r$. The potential difference required to move it in a circle of radius $2 r$ ...

A cyclotron's oscillator frequency is 10 MHz and the operating magnetic field is 0.66 T . If the radius of its dees is 60 cm , then the kinetic energy of the proton beam produced by the accelerator is

An electron is moving in a circle of radius $r$ in a uniform magnetic field $B$. Suddenly, the field is reduced to $\frac{B}{2}$. The radius of the circular path now becomes

An object is placed at a distance of 20 cm from the pole of a concave mirror of focal length 10 cm . The distance of the image formed is

An object is placed at the principal focus of a convex mirror. The image will be at

A candle placed 25 cm from a lens forms an image on a screen placed 75 cm on the other side of the lens. The focal length and type of the lens should be

Moment of inertia of a body about two perpendicular axes $X$ and $Y$ in the plane of lamina are $20 \mathrm{~kg}-\mathrm{m}^2$ and $25 \mathrm{~kg}-\mathrm{m}^2$, respectively. Its moment of inertia about an axis perpendicular to the plane ...

The density of electron-hole pair in a pure germanium is $3 \times 10^{16} \mathrm{~m}^{-3}$ at room temperature. On doping with aluminium, the hole density increases to $4.5 \times 10^{22} \mathrm{~m}^{-3}$. Now, the electron density (in $...

In a CE amplifier, the input AC signal to be amplified is applied across

The DC common emitter current gain of an $n-p-n$ transistor is 50 . The potential difference applied across the collector and emitter of a transistor used in CE configuration is, $V_{C E}=2 \mathrm{~V}$. If the collector resistance $R_C=4 \...

If $A=1$ and $B=0$, then in terms of Boolean algebra, $A+\bar{B}=$

The dimensions of the ratio of magnetic flux
$(\phi)$ and permeability $(\mu)$ are

In a Fraunhofer diffraction at a single slit, if yellow light illuminating that slit is replaced by blue light, then diffraction bands

In Young's double slit experiment, slits are separated by 2 mm and the screen is placed at a distance of 1.2 m from the slits. Light consisting of two wavelengths \(6500\mathop A\limits^o\) and \(5200\mathop A\limits^o\) are used to obtai...

In Young's double slit experiment, two wavelengths $\lambda_1=780 \mathrm{~nm}$ and $\lambda_2=520 \mathrm{~nm}$ are used to obtain interference fringes. If the $n^{\mathrm{th}}$ bright band due to $\lambda_1$ coincides with $(n+1)^{\text {...

A plane wavefront of wavelength $\lambda$ is incident on a single slit of width $a$. The angular width of principal maximum is

First overtone frequency of a closed pipe of length $l_1$ is equal to the second harmonic frequency of an open pipe of length $l_2$. The ratio $\frac{l_1}{l_2}$ is equal to

Two particles of masses $m_1$ and $m_2$ have equal kinetic energies. The ratio of their momentum is