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The following diagram shows the changes in concentration for a reaction that goes to completion.

The equation for the reaction is:

In a certain mass spectrometer, the magnetic field has a magnitude of $0.2\text{T}$. It is intended that this spectrometer be used to separate two isotopes of Uranium, $U_{235}$ $($mass$=3.90\times {10}^{-25}\text{kg})$ and $U_{238}$ $($mass$=3.95\times {10}^{-25}\text{kg})$. In order to be separate the radii of curvature described by singly charged $($charge$+e)$ ions must differ by $2\text{mm}$. What will be the electric potential through which the ions must be accelerated in order to achieve this.

A solid conducting sphere of radius $a$ is surrounded by a thin uncharged concentric conducting shell of radius $2a$. A point charge $q$ is placed at a distance $4a$ from common centre of conducting sphere and shell. The inner sphere is then grounded. The charge on solid sphere is

The driver of a train traveling at $40m{s}^{-1}$ applies the brakes as the train enters a station. The train slows down at a rate of $2m{s}^{-2}$. The distance traveled by train before stopping is:

A block C of mass $m$ is moving with velocity $V_S$ and collides elastically with block A of mass $m$ which is connected to another block B of mass $2m$ through a spring of spring constant k. What is k if $x_0$ is the compression of spring when velocity of A and B is same?

Two blocks $\text{A}$ and $\text{B}$ of masses $m_A=1\text{kg}$ and $m_B=3\text{kg}$ are kept on the table as shown in figure. The coefficient of friction between $\text{A}$ and $\text{B}$ is $0.2$ and between $\text{B}$ and the surface of the table is also $0.2$. The maximum force $F$ that can be applied on $\text{B}$ horizontally, so that the block $\text{A}$ does not slide over the block $\text{B}$ is



[Take, $g=10{\text{m/s}}^2$]

The activity of a radioactive sample is $A_1$ at time $t_1$ and $A_2$ at time $t_2$. If τ is average life of sample then the number of nuclei decayed in time $(t_2–t_1)$ is

A police car with a siren of frequency $9\text{kHz}$ is moving with uniform velocity $75\text{km/hr}$ towards a tall building which reflect the sound wave. The speed of sound in air is $340\text{m/s}$. The frequency of siren heard by the car driver is

A steady current flows in a metallic conductor of non-uniform cross section. The quantity/quantities constant along the length of the conductor is/are

[IIT-JEE 1997]

A small block of mass $m$ is shot into each of the four smooth tracks as shown in the given option figures. The speed $v$ with which the block enters the track is the same in all cases and it reaches the same height ${}^{\prime }{h}^{\prime }$ on the track in all cases. At the highest point of the track, the normal reaction is maximum in:

1. 2.5

The range of a particle when launched at an angle of ${15}^{\circ }$ with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of ${45}^{\circ }$ to the horizontal

If the threshold wavelength $\left({\lambda }_{\circ }\right)$ for the ejection of electrons from a metal is $330\text{nm}$, then the work function for the photoelectric emission is:

A block of mass $M$ has a circular cut with a frictionless surface as shown. The block rests on the horizontal frictionless surface of a fixed table. Initially the right edge of the block is at $x=0$, in a co-ordinate system fixed to the table. A point mass $m$ is released from rest at the topmost point of the path as shown and it slides down. When the mass loses contact with the block, its position is $x$ and the velocity is $v$. At that instant, which of the following options is/are correct?

The seismic mass of an accelerometer oscillates sinusoidally at 100 Hz with a maximum displacement of 10 mm from its mean position. The peak acceleration of the seismic mass is

A ball is thrown vertically downward with a velocity $u$ from the top of a tower. It strikes the ground with a velocity $5u$. The time taken by the ball to reach the ground is given by

There is no video for resolution of vector and multiplication of vector

I want byjus to fix this

A sound wave is traveling along positive x-direction. Displacement(s) of particles from their mean position at any time t is shown in the figure. Choose the correct alternative(s):

A block is moving under the influence of a constant force $F=3600\text{N}$. The force acts on the ball for the duration of $0.004\text{h}$. The average impulse imparted by the force is

On suspending a weight Mg, the length l of elastic wire and area of cross-section A its length becomes double the initial length. The instantaneous stress action on the wire is

Which of the following graphs correctly represents the variation of pressure with height for the earth's atmosphere? Take $P_0$ as the pressure at ground level.

A ball is projected vertically up with a velocity of $20m{s}^{-1}$. Its velocity at the height of $15\text{m}$ is
(Take $g=10m{s}^{-2})$

A motorcyclist of mass $100\text{kg}$ is moving in a horizontal circle inside a hollow cylinder of radius $50\text{m}$. The coefficient of friction between the tires of the motorcycle and the surface of the hollow cylinder is $0.8$. Then, the minimum speed with which he should ride the motorcycle to keep moving in a horizontal circle is

If $\overrightarrow{A}+\overrightarrow{B}$ is a unit vector along y - axis and $\overrightarrow{A}=\hat{i}-\hat{j}+\hat{k}$, then what is $\overrightarrow{B}$?

Gravel is dropped into a conveyor belt at the rate of $0.5kg/s$. Find the extra force required to keep the belt moving at $2m/s$.