Magnetic Flux MCQ - Practice Questions with Answers

$\mathrm{F}(0,0,5)$. The magnetic field in this region is $\vec{B}=(3 \hat{i}+4 \hat{j}) T$. The quantity of flux through the loop ABCDEFA (in Wb) is:-

A person wants to roll a solid non-conducting spherical ball of mass $m$ and radius $r$ on a surface whose coefficient of static friction is $\mu$. He placed the ball on the surface wrapped with $n$ turns of closely packed conducting coils of negligible mass at the diameter. By some arrangement, he is able to pass current I through the coils either in the clockwise direction or in the anti-clockwise direction.

A constant horizontal magnetic field $B$ is present throughout the space as shown in the figure. (Assume $\vec{B}$ is large enough to help rolling motion)

Question

If current i is passed through the coils the maximum torque in the coil is

Write–Up–II
A person wants to roll a solid non-conducting spherical ball of mass m and radius r on a surface whose coefficient of static friction is $\mu$. He placed the ball on the surface wrapped with n turns of closely packed conducting coils of negligible mass at the diameter. By some arrangement he is able to pass current i through the coils either in the clockwise direction or in the anti-clockwise direction.

A constant horizontal magnetic field B is present throughout the space as shown in the figure. (Assume $\mu$ is large enough to help rolling motion)

Question

Angular acceleration of the ball after it has rotated through an angle $\theta\left(\theta<180^{\circ}\right)$ , is

Write–Up–II

A person wants to roll a solid non-conducting spherical ball of mass m and radius $r$ on a surface whose coefficient of static friction is $\mu$. He placed the ball on the surface wrapped with $n$ turns of closely packed conducting coils of negligible mass at the diameter. By some arrangement he is able to pass a current i through the coils either in the clockwise direction or in the anti-clockwise direction.

A constant horizontal magnetic field $B$ is present throughout the space as shown in the figure. (Assume $\vec{B}$ is large enough to help rolling motion)

Question

The minimum value of $\mu$ for which the rolling motion is possible, is

Directions: Study the following line chart carefully and answer the questions given beside.
The following Graph shows the ratio values of a mixture of Propane and Butane in 5 vessels A, B, C, D, E.
(For example, the Ratio of Propane and Butane in vessel A is 30 : 12)

In what ratio must mixture in the vessel C and D be mixed to get the final ratio 115: 81 of Propane and Butane?