Q. No.| Statement I: | A charged particle moving in a magnetic field experiences a force which is zero only when it moves in the direction of the field or against it. |
| Statement II: | Whenever a charged particle moves in a uniform magnetic field, its trajectory may be a circle, a straight line or a helix. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
A strong magnetic field is applied along the direction of velocity of an electron. The electron would move along:
1. a parabolic path
2. the original path
3. a helical path
4. a circular path
1. \(B = {mg \over qv}\)
2. \(B \leq \frac{m g}{q v}\)
3. \(B \geq \frac{m g}{q v}\)
4. \(B = {qv \over mg}\)
A straight wire of mass \(200~\text{g}\) and length \(1.5~\text{m}\) carries a current of \(2~\text{A}\). It is suspended in mid-air by a uniform horizontal magnetic field \(B\) (shown in the figure). What is the magnitude of the magnetic field?
1. \(0.65~\text{T}\)
2. \(0.77~\text{T}\)
3. \(0.44~\text{T}\)
4. \(0.20~\text{T}\)
1. \(2.45\) A
2. \(2.25\) A
3. \(2.75\) A
4. \(1.75\) A
A wire carrying a current \(I_o\) oriented along the vector \(\big(3\widehat{i}+4\widehat{j}\big)\) experiences a force per unit length of \(\big(4F\widehat{i}-3F\widehat{j}-F\widehat{k}\big)\). The magnetic field \(\overrightarrow{B}\) equals:
1. \(\frac{F}{I_o}\big(\widehat{i}+\widehat{j}\big)\)
2. \(\frac{5F}{I_o}\big(\widehat{i}+\widehat{j}+\widehat{k}\big)\)
3. \(\frac{F}{I_o}\big(\widehat{i}+\widehat{j}+\widehat{k}\big)\)
4. \(\frac{5F}{I_o}\widehat{k}\)
A charged particle moves in a gravity-free space without change in velocity. Which of the following is/are possible?
| a. | \(E=0,~B=0\) |
| b. | \(E=0,~B\neq0\) |
| c. | \(E\neq0,~B=0\) |
| d. | \(E\neq0,~B\neq0\) |
Choose the correct option:
| 1. | (a), (b), (d) |
| 2. | (b), (c), (a) |
| 3. | (c), (d), (b) |
| 4. | (a), (c), (d) |
1. \(\lambda Br\)
2. \(\frac{\lambda Br}{r}\)
3. \(\frac{\lambda}{Br}\)
4. \(\frac{\lambda}{B^2r^2}\)
1. \(q^{2}\)
2. \(B^{2}\)
3. \(r^{2}\)
4. All of the above
Given below are two statements:
| I: | Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element \(I(dl)\) of a current-carrying conductor only. |
| II: | Biot-Savart's law is analogous to Coulomb's inverse square law of charge \(q,\) with the former being related to the field produced by a scalar source, \(Idl\) while the latter being produced by a vector source, \(q.\) |
In light of the above statements choose the most appropriate answer from the options given below:
| 1. | I is incorrect and II is correct. |
| 2. | both I and II are correct. |
| 3. | both I and II are incorrect. |
| 4. | I is correct and II is incorrect. |
© 2024 GoodEd Technologies Pvt. Ltd.