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A man standing on a road has to hold his umbrella at ${30}^{\circ }$ with the vertical to keep the rain away. He throws the umbrella and starts running at $10km/h$. He finds that raindrops are hitting his head vertically. Find the speed of raindrops with respect to the ground.

When body is projected upward Why initial velocity is 0

Match the following.
$$\begin{array}{cccc}& \text{Column 1}& & \text{Column 2}\\ A& \text{Compressible fluid}& i& \text{Internal friction between adjacent layers is absent}\\ B& \text{Incompressible fluid}& ii& \text{Has variable density}\\ C& \text{Viscous fluid}& iii& \text{Internal friction between adjacent layers is present}\\ D& \text{Non-viscous fluid}& iv& \text{Has constant density}\end{array}$$

Which one are correct about the solution that contains $3.42ppm$ $A{l}_2(S{O}_4{)}_3$ and $1.42ppm$ $N{a}_{2}S{O}_4$?

A very long straight wire carrying a current i is kept parallel to a very long non- conducting straight wire of uniform charge per unit length $\lambda$. Both the wires are now given longitudinal parallel velocities $V_1$ and $V_2$ with respect to ground observer. The force per unit length on the non - conducting charged wire as recorded by the ground observer is dependent on

A coil of mean area $500{\text{cm}}^2$ and having $1000$ turns is held perpendicular to a uniform field of $0.4\text{G}$. The coil is turned through ${180}^{\circ }$ in $\frac{1}{10}\text{s}$. Calculate the magnitude of average induced $\text{emf}$.

A body has $80\mu \text{C}$ of negative charge. The number of excess electrons in the body will be:

Two bodies of masses $m_1=5\text{kg}$ and $m_2=10\text{kg}$ are placed on $x-$axis $2\text{m}$ apart. If origin has to be taken at mass $m_1$, the gravitational force on $m_2$ is represented as:

A light rod of length 1 m is pivoted at its centre and two masses of 5 kg and 2 kg are hung from the ends as shown in figure (10-E3). Find the initial angular acceleration of the rod assuming that it was horizontal in the beginning.

Find the extention in the spring, if mass of the block is $6\text{kg}$ and spring constant of the spring is $120\text{N/m}$. [Take $g=10{\text{m/s}}^2$]

Select the correct equation for the line given below.

Photon and electron are given same energy $\left({10}^{-20}J\right)$ . Wavelength associated with photon and electron are ${\lambda }_{ph}and{\lambda }_{el}$ then correct statement will be

1. 300

Young's double-slit experiment is performed in a liquid. The ${10}^{\text{th}}$ bright fringe in liquid lies where $6^{\text{th}}$ dark fringe lies in vacuum. The refractive index of the liquid is , approximately,

A particle of mass $m_1$ is moving with a velocity $v_1$ and another particle of mass $m_2$ is moving with a velocity $v_2$. Both of them have same momentum but their different kinetic energies are $E_1$ and $E_2$ respectively. If $m_1>m_2$ then

A
steel wire of length 4.7 m and cross-sectional area 3.0 × 10^–5
m²
stretches by the same amount as a copper wire of length 3.5 m and
cross-sectional area of 4.0 × 10^–5
m²
under a given load. What is the ratio of the Young’s modulus of
steel to that of copper?

A parallel beam of light of wavelength $560\text{nm}$ falls on a thin film of oil $($refractive index $=1.4)$. What should be the minimum thickness of the film so that it strongly reflects the light?

A photocell is illuminated by a small bright source placed 1 m away. When the same source of light is placed $\frac{1}{2}m$ away, the number of electrons emitted by photo cathode would

A rod of mass m and length 2R is fixed along the diameter of a ring of same mass m and radius R as shown in figure. The combined body is rolling without slipping along x – axis. The angular momentum about z – axis is

ABC is a triangle with $\angle A={30}^0$, BC = 10cm. The area of the circumcircle of the triangle is

A point charge $q_1=2\mu \text{C}$ is placed at the origin of coordinates. A second charge, $q_2=-3\mu \text{C}$, is placed on the $x-$ axis at $x=100\text{cm}$. For what positive $x-$coordinate of a point on the $x-$axis, the absolute potential at it is zero?

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are $v_1$ and $v_2$ at angles ${\theta }_1$ and ${\theta }_2$ respectively from the horizontal, then answer the following questions: If $v_1$ = $v_2$ and ${\theta }_1>{\theta }_2$, then choose the incorrect statement

A light having wavelength 300 nm falls on a metal surface. Work function of metal is 2.54 eV. What is stopping potential?

In a Young’s double slit experiment the slit separation is 0.5 m from the slits. For a monochromatic light of wavelength 500 nm, the distance of $3^{rd}$ maxima from $2^{nd}$ minima on the other side is

The maximum speed of a car on a road–turn of radius 30 m, if the coefficient of friction between the tyres and the road is 0.4, will be

A particle moves along a circle of radius $\left(\frac{20}{\pi }\right)m$ with constant tangential acceleration. If velocity of the particle is $80\text{m/s}$ at the end of the $2^{nd}$ revolution after the motion has begun, the tangential acceleration is

A tray of mass $M=10kg$ is supported on two identical springs, each of spring constant k, as shown in the figure. When the tray is depressed a little and released, it executes simple harmonic motion of period 1.5 s. When a block of mass m is placed on the tray, the period of oscillation becomes 3.0 s. The value of m is