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In the circuit shown in the figure, the power factor of the box is $0.5$ and the power factor of the circuit is $\sqrt{3}/2$. Current leads the voltage. Find the effective resistance of the box.

Sunlight is incident on a concave mirror, parallel to its principal axis. The image is formed at a distance of $12\text{cm}$ from the pole. Find the radius of curvature of the mirror.

A gun weighing $4kg$ fires a bullet of $40g$ with a velocity of $500m{s}^{-1}$. The velocity with which gun recoils is

The metal pieces which are welded together with the armature coil to facilitate flow of current in an AC generator are known as _____

A liquid of density $\rho$ is coming out of a hose pipe of radius $a$ with horizontal speed $v$ and hits a mesh. $50\%$ of the liquid passes through the mesh unaffected, $25\%$ loses all of its momentum and $25\%$ of the liquid comes back with the same speed. The resultant pressure on the mesh will be

Identify the type of motion in the pictures below.

Name two applications of Pascal's law.

Find the scalar and vector from the following speed, distance, current, time, pressure, force, work done, Momentum and acceleration

The elephant weighs 20,000 N stands on one foot of area 1000 cm². How much pressure would it exert on the ground?

Planck's constant $h$, speed of light $c$ and gravitational constant $G$ are used to form a unit of length $L$ and a unit of mass $M$. Then the correct option(s) is/are

How can Newton's first law of motion be obtained from the second law of motion?

Each time the heart beats it requires 5 J of energy. If it beats 72 times in one minute then the power consumed by the heart is

An object is located at a distance $30\text{cm}$ on the principal axis from the pole of a concave mirror of focal length $20\text{cm}$. Suddenly the mirror is displaced upwards by a distance $1.5\text{cm}$ in the direction normal to its principal axis. Calculate the displacement of the image produced by the mirror from the original axis.

When we apply pressure to a spong or a pillow it does't make us feel the pressure back how does it satisfies newtoN's 3^rd law.

Derive the three equations of motion.

Two different metal rods of the same length have their ends kept at the same temperatures ${\theta }_1$ and ${\theta }_2$ with ${\theta }_2$ > ${\theta }_1$. If $A_1$ and $A_2$ are their cross-sectional areas and $k_1$ and $k_2$ their thermal conductivities, the rate of heat flow in the two rods will be same if

Statement 1: When iron fillings are spread around a magnet, they align themselves as shown.

Statement 2: Magnet apply force on each filling which makes them get oriented in the mentioned way.

A ball of mass $100\text{g}$ is projected vertically upwards from the ground with a velocity of $98\text{m/s}$. At the same time, another identical ball is dropped from a height of $98\text{m}$ to fall freely along the same path as that followed by the first ball. After some time, the two balls collide and stick together and finally fall to the ground. The time of flight of the masses is

A bullet of mass 50 g moving with an initial velocity of 100 m $s^{-1}$ strikes a wooden block and comes to rest after penetrating a distance 2 cm in it. Calculate
(i) initial momentum of the bullet,
(ii) final momentum of the bullet,
(iii) retardation caused by the wooden block, and
(iv) resistive force exerted by the wooden block

If a body moves with uniform velocity. Why it's acceleration is0?

The sound waves in air are

A 60 m long train moving on a straight level track passes a pole in 5 second. Find the speed of the train and the time taken to cross a bridge 540 m long.

If the power of a motor be 100kw, at what speed can it raise a load of 50,000 N?

How is refractive index of a medium 2 given with respect to medium 1 related to speed of light?
where, $n_1$ and $n_2$ are the respective refractive indicies of medium 1 and medium 2. And, $c_1$ and $c_2$ are speed of light in medium 1 and medium 2 respectively.

Which of the ray diagram is correct?

The frist resonance length of a resonance tube is $25cm$ and the second resonance length is $77cm$. The end correction of resonacne tube, is

What is the basis for the categorization of producers, consumers and decomposers in an ecosystem?

Give one use of ultrasound in industry and one in hospitals.

Solve graphically. A body starting from rest is moving with an acceleration of 3 m/ s² After 10 s, it continues to move with zero acceleration for 20 more seconds. It then retards and comes to a stop within the next 5 seconds. Find its total displacement. [3 MARKS]

An iron tyre is to be fitted on to a wooden wheel 1m in diameter. The diameter of tyre is 6 mm smaller than that of wheel. The tyre should be heated so that its temperature increases by a minimum of (the coefficient of cubical expansion of iron is 3.6 × ${10}^{-5}{/}^{\circ }C$ )