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A soap bubble is given a positive charge, then its radius

In the arrangement shown in figure, the relation between acceleration of blocks $m_1$ and $m_2$ is

A body has charge (q) on it. Which of following is the possible value of charge (q) on the body ?

Calculate, the $\Delta G^o$ at $85{}^{o}C$ for the reaction:

$F{e}_2{O}_3\left(s\right)+3H_2\left(g\right)\to 2Fe\left(s\right)+3H_{2}O$

The data are: $\Delta H_{298}^o=-35kJ/mol$

$\Delta S_{358}^o=0.095kJmo{l}^{-1}{K}^{-1}$

$SubstanceF{e}_2{O}_3\left(s\right)Fe\left(s\right)H_{2}O\left(l\right)H_2\left(g\right)$

$C_p^o\left(J{K}^{-1}mol-1\right)103257529$

Three blocks are connected by different inextensible string as shown in the figure. If the velocity of block $A$ is $10\text{m/s}$, the velocity of block $C$ is

Find the minimum focal length of a normal human eye. If the distance of eyelens from retina is $2\text{cm}$

The bob of a simple pendulum has a mass of 40 g and a positive charge of $4.0\times {10}^{-6}C.$ It makes 20 oscillations in 45 s. A vertical electric field pointing upward and of magnitude $2.5\times {10}^{4}N{C}^{-1}$ is switched on. How much time will it now take to complete 20 oscillations?

Two cars are moving in the same direction with a speed of $30\text{kmph}$. They are seperated from each other by $5\text{km}$. Third car moving in the opposite direction meets the two cars after an interval of 4 minutes. What is the speed of the third car?

A bullet of mass 0.01 kg and travelling at a speed of 500 ms^-1 strikes a block of mass 2 kg, which is suspended by a string of length 5 m. The center of gravity of the block is found to rise a vertical distance of 0.1 m. What is the speed of the bullet after it emerges from the block ?

Two identical wires A and B, each of length '$l$', carry the same current $I$. Wire A is bent into a circle of radius $R$ and wire B is bent to form a square of side '$a$'. If $B_A$ and $B_B$ are the values of magnetic field at the centres of the circle and square respectively, then the ratio $\frac{B_A}{B_B}$ is

A particle moving in a circle changes its angular velocity uniformly from $20\text{rad/s}$ to $40\text{rad/s}$ in first 5 seconds. Find the angular acceleration of the particle.

Blocks $A$ and $C$ start from rest and move to the right with accelerations $a_A=12t{\text{m/s}}^2$ and $a_C=3{\text{m/s}}^2$ respectively. Here $t$ is in seconds. The time when block $B$ again comes to rest is (Given that sytem starts from rest and surface is smooth).

A projectile is given an initial velocity of $(\hat{i}+2\hat{j})\text{m/s}$. Then, the equation of its trajectory is: [Take $g=10{\text{m/s}}^2$]

Two coils $A$ and $B$ having the radii in the ratio $1:2$ carrying currents in the ratio $5:1$ and have the number of turns in the ratio $1:5.$ The ratio of magnetic inductions at their centers is

A cylinder of mass $M$ has a length $L$ that is $\sqrt{3}$ times its radius $R.$ What is the ratio of its moment of inertia about its own axis and that about an axis passing through its centre and perpendicular to its axis?

A stretched string is $1.5m$ & has a linear density of $1.6g/cm$. What tension in string will result in second overtone of $150Hz$? (String is clamped at both end)

A massless wire $2\text{m}$ in length suspended vertically stretches by $10\text{mm}$ when mass of $10\text{kg}$ is attached to the lower end. The elastic potential energy gained by the wire is (Take $g=10{\text{m/s}}^2$)

The radioactive sources $A$ and $B$ of half lives of $8\text{hr}$ and $6\text{hr}$ respectively, initially contain the same number of radioactive atoms. At the end of $2\text{hours}$, their rates of disintegration are in the ratio

Four persons $K,L,M,N$ are initially at the four corners of a square of side $d$. Each person now moves with a uniform speed $v$ in such a way that $K$ always moves directly towards $L$, $L$ directly towards $M$, $M$ directly towards $N$, and $N$ directly towards $K$. The four persons will meet at a time

Why choke coil is used in fluorescent tubes

For photoelectric effect in a metal, the graph of stopping potential $V_0\left(in\text{V}\right)$ versus frequency $\nu \left(in\text{Hz}\right)$ of the incident radiation as shown in figure. From the graph, find threshold frequency and work function of the metal. (Take $h=6.6\times {10}^{-34}\text{J s}$)

A pump is required to lift $1000\text{kg}$ of water per minute from a well $20\text{m}$ deep and eject it at a rate of $20{\text{ms}}^{-1}.$ What HP (horsepower) engine is required for the purpose of lifting water?

Which of the following diagrams correctly shows the relation between the terminal velocity $V_T$ of a spherical body falling in a liquid and viscosity $\nu$ of the liquid?

A body of mass m having an initial velocity v, makes head on elastic collision with a stationary body of mass M. After the collision, the body of mass m comes to rest and only the body having mass M moves. This will happen only when

A body remains at rest when it is pulled by a horizontal force of gradually increasing magnitude. For the given scenario the slope of the graph representing friction Vs applied force graph will be

A uniform rigid rod of mass $m$ and length $l$, is being rotated in a horizontal plane about a vertical axis, passing through one end $A$. If $T_B$ and $T_C$ are the tensions in the rod at points $B$ and $C$, then choose the correct option, if $B$ is the mid point of the rod.

Angle of twist of a circular shaft under the action of a torsional moment 'T' is given by

A $50\text{cm}$ long wire having a mass of $20\text{g}$ is fixed at two ends and is vibrated in its fundamental mode. A $75\text{cm}$ long closed organ pipe, placed with its open end near the wire, is set up into resonance in its first overtone mode by the vibrating wire. Find the tension in the wire. Speed of sound in air is $340\text{m/s}$.