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DetetDete the maximum acceleration of the train in which a box is lying on its floor will remain stationary given that the coefficient of static friction between the box and the trains floor is 0.15

Take g = 10m/s2

A toy aeroplane of mass $m_a=3\text{kg}$ is moving with velocity of $10\text{m/s}$ in horizontal direction. If a bird of mass $m_b=2\text{kg}$ sits on the toy aeroplane, find the final velocity of (toy+bird) system.

Two ideal gases at absolute temperatures $T_1$ and $T_2$ are mixed. There is no loss of energy in this process if $n_1$and $n_2$ are the respective number of molecules of the gases, the temperature of the mixture will be

A flatcar having mass $m_0=50\text{kg}$, is moving to the right due to a constant horizontal force $F=20\text{N}$. Raindrops fall perpendicularly on the flatcar at a constant rate equal to $\mu =10\text{kg/s}$. Find the acceleration of the flatcar (at $t=10\text{sec}$). Assume friction is negligibly small.

A ball is thrown vertically down from the very high tower with velocity of 5 M per second with what velocity should another ball be thrown down after 2 seconds so that it can hit the first ball in 2 seconds?

Explain me this via relative as well without relative.

Answers is 40m/s

The figure shows a conducting ring of radius $R$. A uniform steady magnetic field $B$ lies perpendicular to the plane of the ring in a circular region of radius $r(<R)$. If the resistance per unit length of the ring is $\lambda$, then the current induced in the ring when its radius gets doubled is

If we throw a ball upward,is it a positive velocity or negative? will the magnitude of the velocity increases or decreases?

The temperature and the relative humidity are 300 K and 20 % in a room of volume 50 m a. The floor is washed with water, 500 g of water sticking on the floor. Assuming no communication with the surrounding, find the relative humidity when the floor dries. The changes in temperature and pressure may be neglected. Saturation vapour pressure at 300 K = 3.3 kPa.

The forward biased diode connection is:

A box of mass $\text{8 kg}$ is placed on a rough inclined plane of angle $\theta$ with horizontal. Its downward motion can be prevented by applying an upward pull $F$ and it can be made to slide upwards by applying a force $2F$. The coefficient of friction between the box and the inclined plane is

Two containers of equal mass and containing equal volumes of water are placed on a balance as shown. The ball on the left is a ping pong ball and the ball on the right is made of steel. Both have equal volume. Towards which side will the balance tilt?

Choose the correct answer in the given question.
$\int \sqrt{1+x^2}dx$ is equal to
$\left(a\right)\frac{x}{2}\sqrt{1+x^2}+\frac{1}{2}log|x+\sqrt{1+x^2}|+C\left(b\right)\frac{2}{3}(1+x^2{)}^{\frac{3}{2}}+C(c\left)\frac{2}{3}x\right(1+x^2{)}^{\frac{3}{2}}+C\left(d\right)\frac{x^2}{2}\sqrt{1+x^2}+\frac{1}{2}{x}^{2}log|x+\sqrt{1+x^2}|$

A car is speeding up on a horizontal road with an acceleration a. Consider the following situations in the car. (i) A ball is suspended from the ceiling through a string and is maintaining a constant angle with the vertical and does not slip on the incline. Find the angle of the incline with the horizontal.

Two uniform rods of equal length but of different masses are rigidly combined to form a $L-$ shaped body, which is then pivoted about $O$ as shown in figure. If combination is in equilibrium then ratio $M/m$ will be

A particle is projected vertically upwards in absence of air resistance with a velocity u from a point O. When it returns to the point of projection:

(1) Its a average velocity is zero

(2) Its displacement is zero

(3) Its average speed is $\frac{u}{2}$

(4) Its average speed is u

On what factor does moment of inertia depends?

Find the moment of inertia of an equilateral triangular lamina of mass $1\text{kg}$ and having sides $3\text{m}$ about the axis passing through its centre of mass and perpendicular to the plane of triangular lamina.

What really is Benjamin Franklins experiment and discovery?

A piece of metal floats on mercury. The coefficients of volume expansion of the metal and mercury are ${\gamma }_1$ and ${\gamma }_2$ respectively. If their temperature are increased by $\Delta T$ each, the fraction of the volume of metal submerged in mercury changes by a factor of

Explain Boyles law in each case

1.In inflating balloon

2.In squeezing balloon

The system shown in fig. is released from rest with mass 2 kg in contact with the ground. Pulley and spring are massless, and friction is absent everywhere. The speed of 5 kg block when 2 kg block leaves the contact with the ground is (force constant of the spring $k=40N{m}^{-1}andg=10m{s}^{-2}$ ).

A particle starts sliding down a frictionless inclined plane. If S_{​​​​​n} is the distance travelled by it from time t=n-1 secto t=n sec, find the ratio of S_{​​​​​​n}/S_{​​​​​​n+1}.

Explain in detail.

Calculate the charge carried by 12.5*10raised to power 8 electrons

A 1kg rod of length 1m is pivoted at its centre and two masses of 5kg and 2kg and are hung from the ends as shown in figure. Find the tension in the supports to the blocks of mass 2kg and 5kg $(g=9.8\frac{m}{s^2})$

In the given figure, the velocity $v_3$ will be

Two bodies are projected vertically upwards from one point with the same initial velocities $v_{0}m/s$. The second body is thrown $\tau s$ after the first. The two bodies meet after time

When ultraviolet rays are incident on metal plate, then photoelectric effect does not occurs. It occurs by the incidence of

The direction of zero vector.

One end of a cylindrical glass rod ends in a hemispherical surface of radius R = 20 mm.
- Find the image distance of a point object on the axis of the rod, 80 mm to the left of the vertex. The rod is in air.

A person of mass $60kg$ is inside a lift of mass $940kg$ and he presses the button on the control panel. The lift starts moving upwards with an acceleration of $1{m/s}^2$. If $g=10{m/s}^2$, the tension in the supporting cable is

A ray of light incident on a ${60}^{\circ }$ angled prism of refractive index $\sqrt{2}$ suffers minimum deviation. Angle of incidence is

The position of the particle is given by $x\left(t\right)=(4t^2-3t+2t^3)$, its acceleration will be

Two particles $A$ and $B$ are moving in same direction on a circular path. Initially particle $A$ and $B$ are diametrically opposite to each other. Particle $A$ moves with angular velocity $\pi rad/s$ and angular acceleration $\frac{\pi }{2}rad/s^2$ and particle $B$ moves with constant angular velocity $2\pi rad/s$. Find the time after which both particles $A$ and $B$ collides.

An average emf of 20 V is induced in an inductor when the current in it is changed from 2.5 A in one direction to the same value in the opposite direction in 0.1 s. Find the self-inductance of the inductor.

The net work done through a series of changes reported in figure at the end of cycle for an ideal gas is equal to:

Choose the correct statement(s).

A constant torque of 31.4 Nm is exerted on a pivoted wheel. If angular acceleration of wheel is $4\pi rad{s}^{-2}$, then the moment of inertia of wheel is

From the velocity-time plot shown in figure, find the distance travelled by the particle during the first 40 seconds. Also find the average velocity during this period.

If $R_1$ and $R_2$ are the maximum ranges of a projectile when it is projected from the bottom and top respectively of an inclined plane respectively, then find the maximum range of the projectile when it is projected from the ground with same velocity.

Figure shows two capacitors in series, the rigid and neutral central conducting section of length $b$ being movable vertically.


If the potentials of upper and lower plates are $V_1$ and $V_2$ respectively, then the potential of the middle rigid section is

The effective capacitance of the capacitor shown in the diagram is $(K_1=2,K_2=4,K_3=6)$

A fully charged capacitor $C$ with initial charge $q_0$ is connected to a coil of self-inductance $L$ at $t=0$. The time at which the energy is stored equally between the electric and magnetic fields is