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Emission
transitions in the Paschen series end at orbit n
= 3 and start from orbit n and can be represented as v
= 3.29 × 10¹⁵
(Hz) [1/3²
– 1/n²]

Calculate
the value of n
if the transition is observed at 1285 nm. Find the region of the
spectrum.

Consider a rectangular plate of dimensions $a\times b$. If the plate is considered to be made up of four rectangles of dimensions $\frac{a}{2}\times \frac{b}{2}$ and we now remove one (the lower right) out of the four rectangles, find the position where the centre of mass of the remaining system will be (considering the center of the rectangular plate as the origin)

A body is projected at an angle of ${30}^{\circ }$ with the horizontal and with a speed of $30m{s}^{-1}.$ What is the angle with the horizontal after $1.5$ seconds ?

$(g=10m{s}^{-2}).$

A point $\rho$ lies on the axis of a ring of mass M and radius $\alpha$, at a distance $\alpha$, from its centre C, A small particle starts from $\rho$ and reaches C under gravitational attraction only.Its speed at C will be

In Kundt's tube experiment, a metal rod of length $2\text{m}$ and density $8{\text{g/cm}}^3$ clamped at middle gives dust heaps in a Kundt's tube at intervals of $10\text{cm}$. Calculate the Young's modulus of the material of rod. The speed of sound, in the gas is $360\text{m/s}$.

I am unable to solve numericals of system of particles and rotational motion of neet

A closed cubical vessel is given a horizontal acceleration $a$. Find the value of $a$ such that pressure at the mid point $M$ of $\text{AC}$ is equal to pressure at $N$.

The volume versus temperature graph of two moles of helium gas is shown in figure. The ratio of heat absorbed and the work done by the gas in process $1-2$ is

A monoatomic gas at a pressure $P$, having a volume $V$ expands isothermally to a volume $2V$ and then adiabatically to a volume $16V$. The final pressure of the gas is (take $\gamma =\frac{5}{3}$)

A wheel having moment of inertia $2{\text{kgm}}^2$ about its axis, rotates at $50\text{rpm}$ about this axis. Find the torque$\text{(Nm)}$ that can stop the wheel in one minute.

A container is partially filled with water as shown. Tap on the part on which the water will not exert pressure.

The dimension of the physical quantity $x$ in the equation, $F=\frac{x}{\rho }$, where $F$ is force and $\rho$ is density is given by

The initial pressure & volume of a given mass of gas $(\frac{C_P}{C_V}=\frac{5}{3})$ are $P_0$ and $V_0$. The gas can exchange heat with the surroundings. It is slowly compressed to volume $\frac{V_0}{4}$ and then suddenly compressed to volume $\frac{V_0}{8}$ and then again slowly compressed to $\frac{V_0}{16}$. Find the final pressure.

A body of mass m hangs from three springs, each of spring constant K, as shown. If the mass is slightly displaced and released, the system will oscillate with time period

If area of cross-section of both the limbs are equal, find the difference in heights of the liquid in the two limbs when the system is given an acceleration of $2{\text{m/s}}^2$ in horizontal direction as shown in figure. Neglect the width of the limbs.

Let $n$ droplets each of radius $r$ coalesce to form a large drop of radius $R$. Assuming that the droplets are incompressible and $S$ is the surface tension. Calculate the rise in temperature, if $C$ is the specific heat and $\rho$ is the density.

In the figure below, PQRS denotes the path followed by a ray of light as it travels through three media in succession. The absolute refractive indices of the media are ${\mu }_1,{\mu }_{2}and{\mu }_3$ respectively. (The line segment $R{S}^1$, in the figure is parallel to PQ). Then

Monochromatic
radiation of wavelength 640.2 nm (1nm = 10⁻⁹
m) from a neon lamp irradiates photosensitive material made of
caesium on tungsten. The stopping voltage is measured to be 0.54 V.
The source is replaced by an iron source and its 427.2 nm line
irradiates the same photo-cell. Predict the new stopping voltage.

Maximum density of H2O is at the temperature

A photoelectric surface is illuminated successively by monochromatic light of wavelength $\lambda$. If the maximum kinetic energy of the emitted photoelectrons in the second case is $3$ times that in the first case, the work function of the surface of the material is ($h$ = Planck's constant, $c$ = speed of light)

Two coaxial coils are very close to each other and their mutual inductance is $3\text{H}.$ If a current $i_1=2\sin 30t\text{A}$ is passing through the first coil, then find the peak value of induced emf in the second coil.

Two blocks of masses $2kg$ and $5kg$ are at rest on the ground. The masses are connected by a string passing over a frictionless pulley which is under the influence of a constant upward force $F=50N$. The acceleration of $5kg$ and $2kg$ masses are

CHAPTER NEURAL CONTROL AND COORDINATION

WHAT IS FOVEA

At steady state, ratio of energy stored in $C_1$ & $C_2$

Two stones are thrown
up simultaneously from the edge of a cliff 200 m high with initial
speeds of 15 m/s and 30 m/s. Verify that the graph shown in Fig. 3.27
correctly represents the time variation of the relative position of
the second stone with respect to the first. Neglect air resistance
and assume that the stones do not rebound after hitting the ground.
Take g = 10
m/s².
Give the equations for the linear and curved parts of the
plot.

in a flight of 2800 km , aircraft was slowed down due to bad weather. its average speed is reduced by 100km/h and time increased by 30 mins. find original duration of flight.

A particle travels along the x-axis. Its velocity time graph is shown above.

What is the total displacement of the particle at t = 20 sec?

Between the two stations, a train accelerates from rest uniformly at first, then moves with constant velocity and finally retards uniformly to come to rest. If the ratio of the time taken be $1:8:1$ and the maximum speed attained be $60\text{km/h}$, then, what is the average speed over the whole journey?

In amplitude modulation, sinusoidal carrier frequency used is denoted by ${\omega }_c$ and the signal frequency is denoted by ${\omega }_m$. The bandwidth $\left(△{\omega }_m\right)$ of the signal is such that $△{\omega }_m<<{\omega }_c$. Which of the following frequencies is not contained in the modulated wave?

A $12\text{V}$ battery connected to a bulb drives a current of $2\text{A}$ through it. Find the energy supplied by the battery in $10\text{minutes}$.

Three identical rods are joined and hinged at A as shown. If the angle made by the rod AB with vertical in equilibrium is $\theta$, then $\theta$ is

If $\overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{C}$ , then which of the following statement is wrong?

A point mass having mass M is moving with a velocity V at an angle$\theta$ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with the smooth wall and rebounds. The total change (final minus initial) in the momentum of the mass is

A particle is executing simple harmonic motion with a time period $T$. At time $t=0$, it is at its position of equilibrium. The kinetic energy-time graph of the particle will look like