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If a projectile is thrown with a velocity 10 ms^-1 at an angle of 30⁰ with the horizontal. Then the time of flight will be

A rectangular frame of wire abcd has dimensions $32cm\times 8.0$ cm and a total resistance of $2.0\Omega .$ It is pulled out of a magnetic field B = 0.020 T by applying a force of $3.2\times {10}^{-5}$ N figure . It is found that the frame moves with constant speed. Find

(a) This constant speed

(b) The emf induced in the loop

(c) The potential difference between the points a and b and

(d) The potential difference between the points c and d

A square hole of side length l is made at a depth of y and a circular hole is made at a depth of 4y from the surface of water in a water tank kept on a horizontal surface. If equal amount of water comes out of the vessel through the holes per second then the radius of the circular hole is equal to (l<<y)

A circular loop of radius r carries a current i. How should a long, straight wire carrying a current, 4i be placed in the plane of the circle so that the magnetic field at the centre becomes zero ?

A water jet, whose cross sectional are is ${}^{\prime }{a}^{\prime }$ strikes a wall making an angle ${}^{\prime }\theta {}^{\prime }$ with the normal and rebounds elastically. The velocity of water of density ${}^{\prime }{d}^{\prime }$ is $V$.
Force exerted on wall is

A ball of $2\text{kg}$ strikes a wall with a velocity $1\text{m/s}$ at an angle ${30}^{\circ }$ with the horizontal as shown in the figure below. It reflects at the same angle from the wall in $0.1\text{s}$. Force exerted on the ball will be:

Since we all know that the gravitational force on sun is 274m/s , so my question is that then why the earth gets closer and gets farer away from sun , is this is shown us to just explain anything related it or it actually is this if it is pls give me proper explanation.

Consider the situation shown in figure (6-E9). Suppose a small electric field E exists in the space in the vrticall upward direction and the upper block carries a positive charge Q on its top surface. The friction coefficient between the two blocks is $\mu$ but the floor is smooth. What maximum horizontal force F can be applied without disturbing the equilibrium?

Determine the de-Broglie wavelength (⁰A) associate with He Atom at 500 K.

Calculate the bulk modulus of air from the following data about a sound wave of wavelength 35 cm travelling in air. The pressure at a point varies between $(1.0\times {10}^{5}and14)$ Pa and the particles of the air vibrate in simple harmonic motion of amplitude $5.5\times {10}^{-6}$ m.

A $1kg$ body falls vertically with a speed of $25m/s$ and rebounds with a speed of $10m/s$. What is the impulse acting on the body.

For two non zero vectors $A$ and $B$, if $\overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{B}\times \overrightarrow{A}$ then the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$ is

Two particles of mass 'm' each are attached to a light rod of length 'd', one at its centre and the other at a free end. The rod is fixed at the other end and is rotated in a plane at an angular speed $\omega$. Calculate the angular momentum of the particle at the end with respect to the particle at the centre.

A body of mass $25g$ is under water at a depth of $50cm$. If the specific gravity of material of body is $5$, the work necessary to lift the body slowly to the surface is (Consider $g=9.8\frac{m}{s^2}$ )

The spectral emissive power $E_{\lambda }$ for a body at temperature $T_1$ is plotted against the wavelength and area under the curve is found to be $A$. At a different temperature $T_2$ the area is found to be $9A$. Then $\frac{{\lambda }_1}{{\lambda }_2}=$

5.6 litre of helium gas at STP is adiabatically compressed to 0.7 litre. Taking the initial temperature to be T, the work done in the process is:

Five identical plates, each of area A are arranged such that adjacent plates are at a distance d apart and are numbered as 1, 2, 3, 4 and 5 from left to right. The plates are connected to a battery of voltage V as shown in figure If $Q_1$ is the charge on the plate 1 and $Q_4$ on plate 4, then,

In the shown figure, $X_c=100\Omega$, $X_L=200\Omega$ and $R=100\Omega$. The effective current through the source is

A point object moving on principle axis of convex lens of focal length 20 cm is at distance of 60 cm from it at any instant. If the speed of object is 3 m/s, then speed of image is

A T shaped object with dimensions shown in the figure and with uniform linear mass distribution is lying on smooth floor.A force F is applied at the point P parallel to AB, such that object has onlytranslational motion without rotation.Find the location of P with respect to C

The average degree of freedom of a gas is 6. Gas performs 50 J work when it expands at constant pressure. The heat absorbed by the gas is

An insect of negligible mass is sitting on a block of mass m, tied to an ideal spring as shown in the figure. The force constant of spring is k. The block performs simple harmonic motion with amplitude A in front of a plane mirror placed as shown in the figure. The maximum speed of insect relative to its image will be

State the two Kirchhoff’s rules used in electric networks. How are these rules justified?

For the arrangement of plane mirrors as shown in the figure where the length of the mirrors $M_1$ and $M_2$ are equal, find the number of images formed if a point object $O$ is placed at the centroidal position.

A man is rowing a boat with a constant velocity $v_0$ in a river. The contact area of boat is ‘A’ and co-efficient of viscosity is $\eta$. The depth of river is ‘D’. Find the force required to row the boat.

Force $F$ is applied horizontally at the vertex of equilateral triangular wedge of side $l$ and mass $m$ placed on the ground. Friction is considered to be absent everywhere. The minimum value of $F$ required to topple the wedge is

Two vectors $A$ and $B$ have equal magnitude. If the magnitude of $(A+B)$ is ${}^{\prime }{n}^{\prime }$ times the magnitude of $(A-B)$, then angle between vectors $A$ and $B$ is

The moment of inertia of a uniform disc about the perpendicular axis through its centre of mass is $20{\text{kg m}}^2$. Then its moment of inertia about an axis along its diameter and in the plane of the disc will be

The elevator shown in figure is descending with an acceleration of $2{\text{ms}}^{-2}$. The mass of the block $A=0.5\text{kg}$. The force exerted by the block $A$ on the block $B$ is $(g=10{\text{ms}}^{-2})$

A bowler bowled a ball of mass $2\text{kg}$ at a speed of $162\text{km/h}$. The batsman played a defensive shot and the ball came to rest after striking the bat. If the contact between the ball and the bat is for $0.015\text{s}$, find the magnitude of the impulsive force applied by the bat on the ball.

In the figure given below, with what acceleration does the block of mass $m$ will move?
(Pulley and strings are massless and frictionless)

In the given picture both string & pulley are massless, pulley and surface are frictionless. Find the tension in the string.

At distance $r$ from a point charge, the ratio $\frac{u}{v^2}$ (where $u$ is energy density and $v$ is potential) is best represented by

A block of mass $5\text{kg}$ is dropped on a vertical spring of spring constant $1200\text{N/m}$ from a height of $10\text{m}$. Assuming that all the energy of the block is absorbed by the spring, what is the compression produced in the spring?
(Take $g=10{\text{m/s}}^2$)

A light string fixed at one end to a clamp on the ground passes over a fixed pulley and hangs at the other side. It makes an angle of ${30}^{\circ }$ with the ground. A monkey of mass $5\text{kg}$ climbs up the rope. The clamp can tolerate a vertical force of $40\text{N}$ only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take $g=10{\text{m/s}}^2$)

A rifle shoots a bullet from the ground level with a muzzle velocity of $400\text{m/s}$ at a small target $400$ meter away on the ground. The height above the target at which the bullet must be aimed to hit the target is
$(g=10{\text{ms}}^{-2})$

A particle has an initial velocity $v=3\hat{i}+4\hat{j}m/s$ and acceleration of $0.4\hat{i}+0.3\hat{j}m/s^2$. Its speed after $10s$ is

A uniform rod of mass M and length a lies on a smooth horizontal plane. A particle of mass m, moving at a speed v, perpendicular to the length of the rod strikes it at a distance $\frac{a}{4}$ from the center and stops after the collision. The angular velocity of the rod about its center just after the collision is-

A 1000 w heating unit is designed to operate on a 120 V line the line volt drops to 110 V find the percentage drop in his eat output

16%

30%

9%

27%

How a dimension is different from a unit