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A short bar magnet is placed in the magnetic meridian of earth with its north pole pointing towards North. Neutral points are found at a distance of $30cm$ from the magnet on the East-West line, drawn through the middle point of the magnet. The magnetic moment of the magnet in $A{m}^2$ is approximately equal to _____(Given $\frac{{\mu }_0}{4\pi }={10}^{-7}$ in SI units and $B_H$ = Horizontal component of earth's magnetic field = $3.6\times {10}^{-5}$ tesla)

A 0.5 kg ball is thrown horizontally from point A with velocity $V_A=2m/s$. It strikes the smooth inclined plane and bounces. Take coefficient of restitution e =0.6 and $g=10m/s^2$

The ball strikes the smooth inclined plane at horizontal distance R. The approximate value of R is

An electron enters the space between the plates of a charged parallel plate capacitor as shown in the figure. The charge density on the plate is σ. Electric intensity in the space between the plates is E. A uniform magnetic field B also exists in the space perpendicular to the direction of E. The electron moves perpendicular to both E and B without any change in direction. The time taken by the electron to travel a distance L in the space is

A long cylinderical magnet is moving at a constant velocity $v$ towards a circular wire ring whose radius is slightly larger than that of magnet and passes through it. Graph of flux vs time can be.

An oscillating mass spring system has a mechanical energy 1 joule, when it has an amplitude 0.1m and maximum speed of $1m{s}^{-1}$. Then the force constant of the spring is

A body cools from ${80}^{\circ }Cto{64}^{\circ }C$ in 5 min and same body cools from ${80}^{\circ }Cto{52}^{\circ }C$ in 10 min, what is
the temperature of the surrounding?

A steel plate of upper face area $2{\text{cm}}^2$ and thickness $6\text{cm}$ is fixed rigidly at the lower surface. A tangential force $F=20\text{kN}$ is applied on the upper surface as shown in the figure. The lateral displacement $x$ of upper surface w.r.t the lower surface is (Take modulus of rigidity for steel is $8\times {10}^{11}{\text{N/m}}^2$).

A particle is released from rest from a tower of height $3h$. The ratio of times to fall equal heights $h$ i.e., $t_1:t_2:t_3$ is

A mass of 6 kg is suspended by a rope of length 2 m from a ceiling. A force of 50 N in the horizontal direction is applied at the mid-point of the rope, as shown. What is the angle the rope makes with the vertical in equilibrium?

A ball is projected upwards from the foot of a tower. The ball crosses the top of the tower twice after an interval of $6\text{s}$ and the ball reaches the ground after $12\text{s}$. The height of the tower is ($g=10m/s^2$)

The displacement time graph for two particles $A$ and $B$ are straight lines inclined at angles of ${30}^{\circ }$ and ${60}^{\circ }$ respectively with the time axis. The ratio $V_A:V_B$ is

The angle of minimum deviation for prism angle $\frac{\pi }{3}$ is $\frac{\pi }{6}$. Calculate the velocity in the material of the prism, if the velocity of light in vacuum is $3.00\times {10}^{8}m{s}^{-1}$.

Calculate the charge on the capacitor long time after the assembling of the circuit

Capacitance of a parallel plate capacitor becomes $\frac{4}{3}$ times its original value if a dielectric slab of thickness $t=\frac{d}{2}$ is inserted between the plates [$d$ is the separation between the plates]. The dielectric constant of the slab is

A running man has the same kinetic energy as that of a boy of half his mass. The man speeds up by $2\text{m/s}$ and the boy changes his speed by $x\text{m/s}$ so that the kinetic energies of the boy and the man are again equal. Then $x$ in $\text{m/s}$ is

If a, b, c, d are inputs to a gate and x is its output, then, as per the following time graph, the gate is:

Water rises upto 10 cm height in a long capillary tube. If this tube is immersed in water so that the height above the water surface is only 8 cm, then

A magnet of magnetic dipole moment M is released in a uniform magnetic field of induction B from the position shown in the figure. Find its maximum kinetic energy during motion.

A body dropped from top of a tower fall through 40m during the last two seconds of its fall. The height of the tower is (g=10m/s^{​​​​​​2}).

A) 60m

B) 45m

C) 80m

D) 50m

A potentiometer wire of length $L$ and of resistance $r$ is connected in series with a battery of e.m.f. $E_0$ and a resistance $r_1$. An unknown e.m.f. $E$ is balanced at a length $l$ of the potentiometer wire. The e.m.f. $E$ will be given by

A circular disc is rotating about its own axis. An external opposing torque of magnitude $0.04\text{Nm}$ is applied on the disc due to which it comes to rest in $5\text{seconds}$. The magnitude of initial angular momentum of the disc is

A body starts from rest and moving with an acceleration of $1{\text{ms}}^{–2}$. The displacement of the body in $5$ seconds is

Find electric field at point (2, 1) due to an electron placed at the origin

The length of a sonometer wire is $90cm$ and the stationary wave setup in the wire is represented by an equation $y=6sin\left(\frac{\pi x}{30}\right)cos\left(250t\right)$ where $x,y$ are in $cm$ and $t$ is in $sec$. The number of loops formed in the sonometer wire is

If negative terminal of battery has excess of electrons ie negatively charged then why it doesn't attract neutral bodies

If the $10\text{kg}$ and $20\text{kg}$ bodies are considered to be system $1$ and $30\text{kg}$ body is considered as system $2$ , how many forces would appear to be acting as external forces for system $1$?

Magnetic field at the centre (at nucleus) of the hydrogen like atoms (atomic number = Z) due to the motion of electron in nth orbit is proportional to

A body moves in straight line with velocity $v_1$ for ${\left(\frac{1}{3}\right)}^{rd}$ of time and for remaining time with $v_2$. Find the average velocity of body.

A ball is dropped from a height $h$ on to a floor. If in each collision its speed becomes $e$ times of its striking value, then time taken by ball to stop rebounding is (Here, $e$ is coefficient of restitution between the ball and the floor)

The balloon,the light rope and the monkey shown in figure are at rest in the air.If the monkey reaches the top of the rope,by what distance does the balloon descend ? Mass of the balloon=M,mass of the monkey=m and the length of the rope ascended by the monkey=L.

The mass of a satellite is $\frac{M}{81}$ and radius is $\frac{R}{4}$ where $M$ and $R$ are the mass and radius of the planet. The satellite is revolving around the planet in an orbit of 5R. What will be the distance of the point from the surface of the planet, where the net force experienced will be zero?

The Bohr's energy equation for H -atoms reveals that the energy level of a shell is given by E = - 13.58/n² eV. The smallest amount that an H-atoms will absorb, if in ground state is:

In the following figure all surfaces are smooth. The system is released from rest, then

Two capacitor $C_{1}and{C}_2$ of capacity $6\mu Fand3\mu F$ respectively are charged to 100V and 50V separately and connected as shown in the figure. Now all the switches $S_1,S_2$ and $S_3$ are closed.

Charge on $C_{1}and{C}_2$ in steady state will be respectively,

In the figure shown ABCDEFA was a square loop of side , but is folded in two equal parts so that half of it lies in XZ plane and the other half lies in the YZ plane. The origin O is centre of the frame also. The loop carries current. The magnetic field at the centre is:

A body is projected vertically upwards from the surface of the earth with a velocity sufficient to carry it to infinity. If the radius of the earth is R, the velocity of the body at a height h is

A body of mass $2\text{kg}$ is hung on a spring balance mounted vertically in a lift. If the lift moves up with an acceleration equal to the acceleration due to gravity, the reading on the spring balance will be