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Which of the following changes decrease the vapour pressure of water kept in a sealed vessel?

An object is attached to a vertical spring and slowly lowered to its equilibrium position. This stretches the spring by an amount d. If the same object is attached to the same vertical spring but permitted to fall instead. Through what distance does it stretch the spring?

A solid ball of metal has a concentric spherical cavity within it. If the ball is heated, the volume of the cavity will

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Consider the circuit shown in th figure.



The Thevenin equivalent resistance (in $\Omega$) across P-Q is

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Given vector $\overrightarrow{A}=2\hat{i}+3\hat{j},$ the angle between $\overrightarrow{A}$ and y-axis is

Two cars are moving on two perpendicular roads towards a crossing with uniform speeds of 72 km/h and 36 km/h. If second car blows horn of frequency 280 Hz, then the frequency of horn heard by the driver of first car when the line joining the cars makes angle of ${45}^{\circ }$ with the roads, will be (velocity of sound is 330 m/s)

The output voltage of a transducer with an output resistance of $10k\Omega$ is connected to an amplifier. The minimum input resistance of the amplifier so that the error in recording the transducer output does not exceed 2% is

The Gauss' theorem for gravitational field may be written as

A beam of plane polarized light falls normally on a polarizer of cross sectional area $3\times {10}^{–4}{\text{m}}^2$. Flux of energy of incident ray is ${10}^{–3}$ Watt. The polarizer rotates with an angular frequency of $31.4{\text{rad s}}^{–1}$. The energy of light passing through the polarizer per revolution will be -

A man $(\text{mass}=50\text{kg})$ and his son $(\text{mass}=20\text{kg})$ are standing on a frictionless surface facing each other. The man pushes his son so that he starts moving at a speed of $0.70{\text{ms}}^{-1}$ with respect to the man. The speed of the man with respect to the surface is:

Three elements A,B and C crystalize in a cubic lattice with A atoms at the corners, B atoms at the cube center and C atoms at the centre of the face of the cube.

When all the atoms from two different body diagonals are removed, then find the ratio of effective number of particles $\left(Z_{eff}\right)$ initially (before removal of atoms) to the effective number of particles finally (after removal of atoms).

Find the magnitude and direction of $\overrightarrow{A}\times \overrightarrow{B}$ and $\overrightarrow{B}\times \overrightarrow{A}$ respectively, if $\overrightarrow{A}$ and $\overrightarrow{B}$ lies in the $x-y$ plane as shown in the figure. Given $|\overrightarrow{A}|=3$ and $|\overrightarrow{B}|=2$

Two infinite length wire carries currents $8\text{A}$ and $6\text{A}$ respectively and placed along $x$ and $y$- axis. Magnetic field at a point $\text{P}(0,0,d)\text{m}$ will be:

A circular loop of radius $a=7\text{cm}$, carrying a current $i=\frac{2}{7}\text{A}$, is placed in a two-dimensional magnetic field. The centre of the loop coincides with the centre of the field. The strength of the magnetic field at the periphery of the loop is $B$. Find $B$ if the magnetic force on the wire is $2\pi \text{N}$.

How many different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are excited to states with principal quantum number $n$ ?

Find the truth table for the function $Y$ of $A$ and $B$ represented in the following figure.

A string is wound around a hollow cylinder of mass $5\text{kg}$ and radius $0.5\text{m}$. If the string is now pulled with a horizontal force of $40\text{N}$ and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string)

Two particles of equal mass $m$, have respective initial velocities $u\hat{i}$ and $u\left(\frac{\hat{i}+\hat{j}}{2}\right).$ They collide completely inelastically. The energy lost in the process is:

A cubical block of side length $a$ and mass $M$, is moving with velocity $v$ on a horizontal smooth plane as shown in the figure. It hits a ridge at point $O$. The angular speed of the block immediately after it hits the ridge is -

Determine the charge on the capacitor in the following circuit

A boat moves relative to water with a velocity $v$ and river is flowing with $2v$. At what angle will the boat move with the stream to have minimum drift?

A straight horizontal wire of mass 10 mg and length 1.0 m carries a current of 2.0 A. What minimum magnetic field B should be applied in the region so that the magnetic force on the wire may balance its weight ?

The half-life of a radioactive substance is $30$ minutes. The time (in minutes) taken between $40\%$ decay and $85\%$ decay of the same radioactive substance is

If a car covers $2/5^{th}$ of the total distance with $v_1$ speed and $3/5^{th}$ distance with $v_2$ speed then, average speed is

The resultant of $\overrightarrow{P}$ and $\overrightarrow{Q}$ is perpendicular to $\overrightarrow{P}$. What is the angle between $\overrightarrow{P}$ and $\overrightarrow{Q}$.

If the design speed is 80 kmph, perception reaction time 3 seconds and coefficient of friction is 0.5, the safe stopping sight distance is

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