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If the speed of a car is given as $v=2t+5\text{m/s}$, total distance covered by the car in $5sec$ is

A body falling freely from a given height H hits an inclined plane in its path at a height$h$. As a result of this impact the direction of the velocity of the body becomes horizontal. For what value of $\left(\frac{h}{H}\right)$, the body will take maximum time to reach the ground?

Specific heat capacity at constant volume of one mole diatomic ideal gas is

The velocity acquired by a body when it falls through a height $h$ is $v$. If it further falls through a very small height $x$, the increase in velocity is approximately

Find the second order derivative of the given functions.

$x^2+3x+2$

There is an electric field $E$ in x − direction. If the work done on moving a charge of $0.2C$ through a distance of $2m$ along a line making an angle ${60}^{\circ }$ with x − axis is $4J$, then what is the value of $E$ ?

The volume of a cube is increasing at the rate of 9 $\text{cm}{}^3\text{/s}$.How fast is its surface area increasing when the length of an edge is 10 cm ?

A particle is projected at angle $\theta$ with horizontal. Calculate the time when it is moving perpendicular to the initial direction.

A cylinder of radius $R$ made of material of thermal conductivity $K_1$ is surrounded by a cylindrical shell of inner radius $R$ and outer radius $3R$ made of a material of thermal conductivity $K_2$. The two ends of a combined systems are maintained at two different temperatures. What is the thermal conductivity of the system?

A satellite of mass m moves along an elliptical path around the earth. The areal velocity of the satellite is proportional to

You may have seen in a circus a motorcyclist driving in vertical loops inside a ‘deathwell’ (a hollow spherical chamber with holes, so the spectators can watch from outside). Explain clearly why the motorcyclist does not drop down when he is at the uppermost point, with no support from below. What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is 25 m?

A point starts moving in a straight line with a certain acceleration. At a time t after beginning of motion the acceleration suddenly becomes retardation of the same value. The total time in which the point returns to the initial position is

Let us consider a boat which moves with a velocity $v_{bw}=$5 km/hr relative to water. At time t = 0, the boat passes through a piece of cork floating in water while moving downstream. If it turns back at time, $t=t_1$ then when does the boat meet the cork again? Assume $t_1$ = 30 min.

From the graph between current I and voltage V shown in figure, identify the portion corresponding to negative resistance.

Two blocks of masses 1 kg and 2 kg are connected by a metal wire going over a smooth pulley as shown in figure. The breaking stress of the metal is $2\times {10}^{9}N{m}^{-2}$. What should be the minimum radius of the wire used if it is not to break? Take $g=10m{s}^{-2}$.

An ornament weighing 36g in air, weighs only 34 g in water. Assuming that some copper is mixed with gold to prepare the ornament, find the amount of copper in it. Specific gravity of gold is 19.3 and that of copper is 8.9.

I was unable to understand the previously answered question

so plz sir/madam, could you do it on a paper.......it would be helpful

Find the ratio of radius of gyration about natural axis of a circular disk to that of a circular ring each having same mass and same radius.

Standard enthalpy of vaporisation ∆_vap H^° for water at 100°C is 40 .,66kj /mol. Internal energy of vaporisation of water at 100°C is

Assuming that the mass 'M' of the largest stone that can be moved by a flowing river depends upon velocity'v',density of water(p) and on acceleration due to gravity 'g'.show that mass'M' varies with the sixth power of the velocity of flow.

A small circular ring has a uniform charge distribution. On a far off axial point distance x from the centre of the ring the electric field is proportional to?

The chloroplatinate of an organic base contains $39\%$ of Pt.The equivalent weigth of the base is (atomic mass of platinum = 195)

In order to have the same wavelength for the electron (mass $m_e$) and the neutron (mass $m_n$), their velocities should be in the ratio (electron velocity / neutron velocity):

A ball of mass $600\text{g}$ is dropped to the ground from a height of $25\text{m}$. If the energy of the ball reduces by $35\%$ after striking the ground, what is the height to which it rebounds?

Thermal conductivity of inner core of radius $2\text{cm}$ is $k$ and of the outer one of radius $4\text{cm}$ is $2k$. Find the equivalent thermal conductivity between its two ends $a$ and $b\left(k_{\text{eq}}\right)$.

A uniform ring and uniform sphere are placed as shown in the figure. The gravitational attraction between the sphere and ring ($d=\sqrt{3}R$) is.

According to maxwell's theory of electrodynami cs, an electron going in a circle should emit rad ition of grequency equal to its frequency of rev olution. What should be the wavelength of the raditions emitted by a hydrogen atom in ground state if this rule is followed ?

Why electric current is a scalar with definition

There are found X-Rays with energy ranging from 2 KeV to 5 KeV. What is the minimum and maximum wavelength of X- Ray photon present respectively? (Take hc to be 1242 eV-nm)

An ideal fluid is flowing through the given tubes which is placed on a horizontal surface. If the liquid has velocities $v_A$ and $v_B$, and pressures $P_A$ and $P_B$ at points $A$ and $B$ respectively, then the correct relation is:
(The figure shown below is as if the system is seen from the top)

what is paramagnetism

The area enclosed by the curve $y=x^2+2x-3$ and $x$ axis is

A ball is dropped from a of height 80 m. It hits the ground and rebounds with half the speed before collision. Draw its velocity-time graph.

For a S.H.M., amplitude is 6 cm. If instantaneous potential energy is half the total energy then distance of particle from its mean position is

In electrostatics we studied that potential between 2 point charges is v=1/4πε_0.Q/R.But in electrodynamics (current electricity)we studied ohm's law (v=iR) Is there any relation between these two ? How can we get expression v=iR from v=1/4πε_0.Q/R.

A charge Q is placed at the centre of a cube. Find the flux of the electric field through the six surfaces of the cube.

The amount of work done in moving a unit positive charge through distance of 10 cm on an equipotential surface is

Block $B$ rests on a smooth surface. If the coefficient of static friction between $A$ and $B$ is $\mu =0.4$. Determine the acceleration of each block, if weight of lower block is $250N$ and $F=30N$.

A cylinder of radius R made of a material of thermal conductivity $K_1$ is surrounded by a cylindrical shell of inner radiusRand outer radius 2Rmade of material of thermal conductivity $K_2$. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is

You are supplied with three identical rods of same length and mass . If the length of each rod is $2\pi$. Two of them are converted into rings and then placed over the third rod as shown in figure. If point A is considered as origin of the coordinates system, the coordinate of the centre of mass will be (you may assume AB as x - axis of the coordinate system)

At what angle, the two forces 3F and F$\sqrt{3}$ should act, so that the resultant force is F$\sqrt{21}$.

The faintest sound that can be heard has a pressure amplitude of about $4\times {10}^{-5}{\text{N/m}}^2$ and the loudest that can be heard without pain has a pressure amplitude of about $2.8{\text{N/m}}^2$. Determine the intensity of the faintest sound (both in ${\text{W/m}}^2$ and in $\text{dB}$).
[Assume, air density is $1.3{\text{kg/m}}^3$ and velocity of sound is $330\text{m/s}$ and take ${\log }_{10}1.86=0.269$]

Avinash practicing in a swimming pool takes enough air from his tank to fully expand his lungs before abandoning the tank at depth 'L' and swimming to the surface and failing to exhale during his ascent. At the surface ∆P between the external pressure on him and the air pressure in his lungs is 9.3 kpa. From what depth does he start?$\{{\rho }_{water}=1000\frac{kg}{m^3},g=10\frac{m}{s^2}\}$

Which one of the graph represents the behaviour of an ideal gas at constant temperature?

Two particles A and B, each of mass m, are kept stationary by applying a horizontal force F= mg on particle B as shown in fig. then