Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Physics-

General

Easy

Question

A particle of specific charge $alpha$ (charge per unit mass) is released at time t=0 from origin with an initial velocity of $stack v with rightwards arrow on top equals v subscript 0 end subscript stack i with ˆ on top$ in a uniform magnetic field $stack B with rightwards arrow on top equals negative B subscript 0 end subscript stack k with ˆ on top$ . Find position of particle at any time t.

$\frac{v_{0}}{B_{0} α} [S i n (B_{0} α t) \hat{i} - [1 + C o s (B_{0} α t) \hat{j}]]$
$\frac{v_{0}}{B_{0} α} [S i n (B_{0} α t) \hat{i} + \{1 - C o s (B_{0} α t) \hat{j}\}]$
$\frac{v_{0}}{B_{0} α} [C o s B_{0} α t + \{1 - S i n (B_{0} α t) \hat{j}\}]$
$\frac{v_{0}}{B_{0} α} [S i n α t \hat{i} - {1 + C o s (α t) \hat{j}}]$

The correct answer is: $fraction numerator v subscript 0 end subscript over denominator B subscript 0 end subscript alpha end fraction open square brackets S i n invisible function application open parentheses B subscript 0 end subscript alpha t close parentheses stack i with hat on top plus open curly brackets 1 minus C o s invisible function application open parentheses B subscript 0 end subscript alpha t close parentheses stack j with hat on top close curly brackets close square brackets$

Related Questions to study

A block of mass m & charge $q$ is released on a long smooth inclined plane magnetic field B is constant, uniform, horizontal and parallel to surface as shown. Find the time from start when block loses contact with the surface.

A block of mass m & charge $q$ is released on a long smooth inclined plane magnetic field B is constant, uniform, horizontal and parallel to surface as shown. Find the time from start when block loses contact with the surface.

Physics-General

The direction of magnetic force on the electron as shown in the diagram is along

The direction of magnetic force on the electron as shown in the diagram is along

Physics-General

A mass spectrometer is a device which select particle of equal mass. An ion with electric charge q>0 and mass m starts at rest from a source S and is accelerated through a potential difference V. It passes through a hole into a region of constant magnetic field $stack B with rightwards arrow on top$ perpendicular to the plane of the paper as shown in the figure. The particle is deflected by the magnetic field and emerges through the bottom hole at a distance d from the top hole. The mass of the particle is

A mass spectrometer is a device which select particle of equal mass. An ion with electric charge q>0 and mass m starts at rest from a source S and is accelerated through a potential difference V. It passes through a hole into a region of constant magnetic field $stack B with rightwards arrow on top$ perpendicular to the plane of the paper as shown in the figure. The particle is deflected by the magnetic field and emerges through the bottom hole at a distance d from the top hole. The mass of the particle is

Physics-General

parallel

A charged particle A of charge q=2C has velocity v=100m/s. When it passes through point A and has velocity in the direction shown. The strength of magnetic field at point B due to this moving charge is (r=2m).

A charged particle A of charge q=2C has velocity v=100m/s. When it passes through point A and has velocity in the direction shown. The strength of magnetic field at point B due to this moving charge is (r=2m).

Physics-General

A current I flows in along straight wire with cross section having the form a half circular ring of radius R The magnetic field induction at the point O is

A current I flows in along straight wire with cross section having the form a half circular ring of radius R The magnetic field induction at the point O is

Physics-General

An infinitely long wire is bent in the form of a semicircle at the end as shown in the figure. It carries current I along abcdo. If radius of the semicircle be R, then the magnetic field at 'O' which is the center of the circular part is,

An infinitely long wire is bent in the form of a semicircle at the end as shown in the figure. It carries current I along abcdo. If radius of the semicircle be R, then the magnetic field at 'O' which is the center of the circular part is,

Physics-General

parallel

Two wires A and B are of lengths 40cm and 30cm. A is bent into a circle of radius r and B into an arc of radius r. A current $i subscript 1 end subscript$ is passed through A and $i subscript 2 end subscript$ through B. To have the same magnetic inductions at the centre, the ratio of $i subscript 1 end subscript colon i subscript 2 end subscript$ is

Two wires A and B are of lengths 40cm and 30cm. A is bent into a circle of radius r and B into an arc of radius r. A current $i subscript 1 end subscript$ is passed through A and $i subscript 2 end subscript$ through B. To have the same magnetic inductions at the centre, the ratio of $i subscript 1 end subscript colon i subscript 2 end subscript$ is

Physics-General

Equal current 'i' flows in the two segments of a circular loop in the direction shown in fig. radius of the loop is 'a'. Magnetic field at the centre of the loop is,

Equal current 'i' flows in the two segments of a circular loop in the direction shown in fig. radius of the loop is 'a'. Magnetic field at the centre of the loop is,

Physics-General

An infinitely long conductor PQR is bent to form a right angle as shown. A current I flows through PQR. The magnetic field due to this current at the point M is $B subscript 1 end subscript$ . Now another infinitely long straight conductor QS is connected to Q so that the current is, 1/2 in QR as well as in QS, the current in PQ remaining unchanged. The magnetic field at M is now $B subscript 2 end subscript.$ The ratio $B subscript 1 end subscript divided by B subscript 2 end subscript$ is given by

An infinitely long conductor PQR is bent to form a right angle as shown. A current I flows through PQR. The magnetic field due to this current at the point M is $B subscript 1 end subscript$ . Now another infinitely long straight conductor QS is connected to Q so that the current is, 1/2 in QR as well as in QS, the current in PQ remaining unchanged. The magnetic field at M is now $B subscript 2 end subscript.$ The ratio $B subscript 1 end subscript divided by B subscript 2 end subscript$ is given by

Physics-General

parallel

Two long parallel conductors carry currents $i subscript 1 end subscript equals 3 A$ and $i subscript 2 end subscript equals 3 A$ both are directed into the plane of paper. The magnitude of resultant magnetic field at point ' $P$ ' is,

Two long parallel conductors carry currents $i subscript 1 end subscript equals 3 A$ and $i subscript 2 end subscript equals 3 A$ both are directed into the plane of paper. The magnitude of resultant magnetic field at point ' $P$ ' is,

Physics-General

When 0.005A current flows through a moving coil galvanometer, it gives full scale deflection. It is converted into a voltmeter to read 5 Volt, using an external resistance of $975 capital omega$ . The resistance of galvanometer in ohms is

When 0.005A current flows through a moving coil galvanometer, it gives full scale deflection. It is converted into a voltmeter to read 5 Volt, using an external resistance of $975 capital omega$ . The resistance of galvanometer in ohms is

Physics-General

The force exerted by the conductor AB on the loop CDFG shown in figure is

The force exerted by the conductor AB on the loop CDFG shown in figure is

Physics-General

parallel

Three long straight and parallel wires, carrying currents are arranged as shown figure. The force experienced by the conductor 'B' of length 25cm is

Three long straight and parallel wires, carrying currents are arranged as shown figure. The force experienced by the conductor 'B' of length 25cm is

Physics-General

Two particles A and B of mass $m subscript A end subscript$ and $m subscript B end subscript$ respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are $v subscript A end subscript$ and $U subscript B end subscript$ respectively, and the trajectories are as shown in the figure. Then

Two particles A and B of mass $m subscript A end subscript$ and $m subscript B end subscript$ respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are $v subscript A end subscript$ and $U subscript B end subscript$ respectively, and the trajectories are as shown in the figure. Then

Physics-General

Two circular coils of radii 20cm and 30cm having number of turns 50 and 100 made of same material are connected in series. The ratio of the magnetic field of induction at their centres is

Two circular coils of radii 20cm and 30cm having number of turns 50 and 100 made of same material are connected in series. The ratio of the magnetic field of induction at their centres is

Physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.