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If in addition law VECTOR A + VECTOR B = RESULTANT VECTOR so why we use Pythagoras theorem in right 🔺 to found a resultant and why we do not add the vectors.. .....

What is the potential difference between points B and D in the given circuit.

If the line of action of the applied force intersects the Axis of rotation, then the torque of this force about the axis of rotation is

Maximum destructive inference between two waves occurs when the waves are out of the phase by

A current carrying circular loop of radius r is placed in the x-y plane with center at the origin. Half of the loop with x > 0 is now bent so that it now lies in y - z plane. Magnitude of change in magnetic dipole momentum is [$I$ is current in loop]

If a cyclist moving with a speed of 4.9 m/s on a level road can take a sharp circular turn of radius 4 m, then coefficient of friction between the cycle tyres and road is

Let Two fixed points are A(a, 0) and B(-a, 0). If $\angle A-\angle B=\theta$, then the locus of point C of triangle ABC will be

A ring of radius 1m and mass 1 kg is rotating with an angular acceleration of $5\frac{rad}{s^2}$ about an axis passing through its centre and perpendicular to its plane. What will be the magnitude of tangential acceleration of any of its small point mass?

A hydrogen atom and a $L{i}^{++}$ ion are both in second excited state. If $l_{H}and{l}_{Li}$ are their respective electronic angular momenta, and $E_H$ and $E_{Li}$ their respective energies, then
(IIT-JEE-2002)

A ball of mass $m$ moving with speed $u$ undergoes a head on collision with a stationary ball of mass $3m$. If collision is perfectly inelastic, find the loss of kinetic energy.

Two waves $y_1=A\sin (\omega t-kx)$ and $y_2=A\sin (\omega t-kx+\varphi )$ are superimposed such that the resultant amplitude of oscillation is $\sqrt{2}A$, then the value of $\varphi$ is

A capacitance C, a resistance R and an emf $\epsilon$ are connected in series at t = 0. What is the maximum value of (a) the potential difference across the resistor, (b) the current in the circuit, (c) the potential difference across the capacitor, (d) the energy stored in the capacitor, (e) the power delivered by the battery and (f) the power converted into heat.

A pendulum bob of mass 80 mg and carrying a charge of $2\times {10}^{-8}C$ is at rest in a uniform horizontal electric field of $20kV{m}^{-1}$ Find the tension in the thread.

The pulley shown in figure (10-E8) has a radius 10 cm and moment of inertia 0.5 kg-$m^2$ about its axis. Assuming the inclined planes to be frictionless, calculate the acceleration of the 4.0 kg block.

A uniform rod follows motion as shown in figure. Angular speed of the rod is

Figure shows a stream of water emerging from the opening of a tap. As the water falls through a height $h=PQ$, the cross-sectional area of the stream decreases from $A$ to $a$. Obtain the expression for the rate of flow of water through the opening of the tap.

A particle is moving along a circular path. The angular velocity, linear velocity, angular acceleration, and centripetal acceleration of the particle at any instant respectively are $\overrightarrow{\omega },\overrightarrow{v},\overrightarrow{\alpha }$and $\overrightarrow{a_c}$. Which of the following relations is not correct?

Two particles A and B are placed as shown in the figure. The particle A, on the top of tower, is projected horizontally with a velocity u and the B is projected along

the surface towards the tower simultaneously. If particles meet each other, then the speed of projection of particle B is [Ignore friction]

A force vector applied on a mass is represented as $\overrightarrow{F}=6\hat{i}-8\hat{j}+10\hat{k}$ and accelerates with $1m/s^2$ . What will be the mass of the body in kg?

A moving block having mass $m$ collides with another stationary block having mass $4m$. The lighter block comes to rest after collision. When the initial velocity of the lighter block is $v$, then the value of coefficient of restitution ($e$) will be

The equation of projectile is $y=8x-\frac{5x^2}{2}$. The horizontal range is-

The block is displaced towards right through a distance $x$ and released. Then, speed of the block as it passes through the mean position is

In a Carnot heat engine, the temperature of source and sink are ${827}^{\circ }\text{C}$ and ${27}^{\circ }\text{C}$. If the engine consumes $33\text{kJ}$ per cycle, then the heat rejected to the sink per cycle is

A system of uniform cylinders and plates is shown in. All the cylinders are identical and there is no slipping at any contact. Velocity of lower and upper planets is V and 2V, respectively as shown in the figure. Then the ratio of angular speeds of the upper cylinders to lower cylinders is.

A block rests on a rough incline 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 $10\text{N}$, the mass of the block (in $\text{kg}$ ) is (take $g=10{\text{m/s}}^2)$

An electric heater of power $1\text{kW}$ emits thermal radiations. The surface area of the heating element of the heater is $200{\text{cm}}^2$. If this heating element is treated like a black body, find the temperature at its surface. Assume its temperature is very much higher than its surroundings.
[$\sigma =5.67\times {10}^{-8}{\text{W m}}^{-2}{\text{K}}^{-4}$]

A parallel plate capacitor of $1\mu F$ capacity is discharging through a resistor. If its energy reduces to half in one $\text{second}$. The value of resistance will be

A stone of mass $2\text{kg}$ is tied to one end of a rope of length $2\text{m}$. The other end is fixed to a vertical axis, around which the mass is performing a circular motion with an angular speed of $2\pi \text{rad/s}$. Then, tension in the rope (in $\text{newtons}$) will be:

The motion of a particle along a straight line is described by the function $x=6+4t^2–t^4$ where $x$ is in meters and $t$ is in seconds. What is the maximum velocity attained by the particle ?

Calculate the speed (in $\text{mm/s}$) of flow of glycerin at the inlet of the conical section of a pipe. If its inlet and outlet radius are $0.2\text{m}$ and $0.05\text{m}$ respectively. The pressure drop across its length is $10{\text{N/m}}^2$ and density of glycerin is $1.25\times {10}^3{\text{kg/m}}^3$.

A conducting straight wire $PQ$ of length $l$ is fixed along a diameter of a non-conducting ring as shown in the figure. The ring is given a pure rolling motion on a horizontal surface such that its centre of mass has a velocity $v$. There exists a uniform horizontal magnetic field $B$ in horizontal direction perpendicular to the plane of ring. The magnitude of induced emf in the wire $PQ$ at the position shown in the figure will be

How much heat energy is gained when 5 kg of water at 20°C is brought to its boiling point
(Specific heat of water = 4.2 $kJk{g}^{-1}{c}^{-1}$)

In the arrangement shown in figure, slits $S_1$ and $S_4$ are having a variable separation Z. Point O on the screen is at the common perpendicular bisector of $S_1{S}_2$ and $S_3{S}_4$.


The minimum value of $Z$ for which the intensity at $O$ is zero is

Identify the correct order as indicated in the given diagram of different kind of speed of molecules of same gas.


$v_{mp}\to$ Most probable speed
$v_{rms}\to$ Root mean square speed
$v_{av}\to$ Average speed

A ball of mass 0.2 kg rests on a vertical post of height 5m. A bullet of mass 0.01 kg travelling with a velocity v m/s in a horizontal direction, hits the centre of the ball. After the collision the ball and bullet travel independently. The ball hits the ground at a distance of 20m and the bullet at a distance of 100m from the foot of the post. The initial velocity of the bullet is

And is 500m/s.

Please give detailed explanation as I won't be able to understand concise answers.

A particle is released from rest from a tower of height

3h the ratio of times to fall equal heights h,i.e ,t1:t2:t3

A) root 3:root2:1

B)3:2:1

C)9:4:1

D)1:(root2-1):(root3-root2

Select correct option

The ratio of quantity of heat removed per cycle from the contents of the refrigerator to the energy spent per cycle to remove this heat is called the

A simple harmonic oscillator having four identical springs as shown in figure has time period (neglect the separation between the ends on the roof and the ends connected to the mass):

The displacement x of a particle moving in one dimension is related to time t by the equation t=√x+3 where x is in metres and t in seconds. The displacement of the particle when its velocity is zero.Please,Define the Whole Process of How to Differentiate it?(Step by Step Please)

Will a man in a lift in space accelerating up with an acceleration g feel any different from a man in a stationary lift on Earth?

A wire of length l, carrying current is bent into a loop and placed with its plane perpendicular to a magnetic field. In which of the following shapes, is the torque acting on the loop maximum?