JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism
A solenoid of length \(0.5 \mathrm{~m}\) has a radius of \(1 \mathrm{~cm}\) and is made up of ' \(m\) ' number of turns. It carries a current of \(5 \mathrm{~A}\). If the magnitude of the magnetic field inside the solenoid is \(6.28 \times 10^{-3} \mathrm{~T}\), then the value of \(m\) is _______.
- A \(500\)
- B \(400\)
- C \(600\)
- D \(300\)
Answer & Solution
Correct Answer
(A) \(500\)
Step-by-step Solution
Detailed explanation
\(\mu_0 n i=B \quad n=\) number of turns per unit length \(\mu_0\left(\frac{\mathrm{m}}{\ell}\right) \mathrm{i}=\mathrm{B}\) \(\mathrm{m}=\frac{\mathrm{B} \ell}{\mu_0 \mathrm{i}}=\frac{6.28 \times 10^{-3} \times 0.5}{12.56 \times 10^{-7} \times 5}\) \(\mathrm{~m}=500\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- If the potential energy between two molecules is given by \(U =\frac{-A }{ r ^{6}}+\frac{ B }{ r ^{12}},\) then at equilibrium, separation between molecules, and the potential energy areJEE Mains 2020 Hard
- A particle is moving with constant speed in a circular path. When the particle turns by an angle \(90^{\circ}\), the ratio of instantaneous velocity to its average velocity is \(\pi: x \sqrt{2}\). The value of \(x\) will be \(.........\)JEE Mains 2023 Hard
- On a linear temperature scale \(Y\), water freezes at \(- 160^o\, Y\) and boils at \(- 50^o\, Y\). On this \(Y\) scale , a temperature of \(340\, K\) would be read as........ \(^oY\) ( water freezes at \(273\, K\) and boils at \(373\, K\))JEE Mains 2013 Medium
- A solid metallic cube having total surface area \(24\;m ^{2}\) is uniformly heated. If its temperature is increased by \(10\,^{\circ} C\), calculate the increase in volume of the cube \(\left(\right.\) Given \(\left.: \alpha=5.0 \times 10^{-4}{ }^{\circ} C ^{-1}\right)\)JEE Mains 2022 Medium
- Three different processes that can occur in an ideal monoatomic gas are shown in the \(P\) vs \(V\) diagram. The paths are labelled as \(A \rightarrow B, A \rightarrow C\) and \(A \rightarrow D .\) The change in internal energies during these process are taken as \(E _{ AB }, E _{ AC }\) and \(E _{ AD }\) and the work done as \(W _{ AB }\) \(W _{ AC }\) and \(W _{ AD }\) The correct relation between these parameters are
JEE Mains 2020 Hard - The elastic behaviour of material for linear streass and linear strain, is shown in the figure. The energy density for a linear strain of \(5 \times 10^{-4}\) is \(\dots \; kJ / m ^{3}\). Assume that material is elastic upto the linear strain of \(5 \times 10^{-4}\).
JEE Mains 2022 Hard
More PYQs from JEE Mains
- The area (in sq. units) of the region described by \(\left\{(\mathrm{x}, \mathrm{y}): \mathrm{y}^2 \leq 2 \mathrm{x}\right.\), and \(\left.\mathrm{y} \geq 4 \mathrm{x}-1\right\}\) isJEE Mains 2024 Medium
- The natural number \(m\), for which the coefficient of \(x\) in the binomial expansion of \(\left( x ^{ m }+\frac{1}{ x ^{2}}\right)^{22}\) is \(1540,\) isJEE Mains 2020 Hard
- The lines \(\frac{x-2}{2}=\frac{y}{-2}=\frac{z-7}{16}\) and \(\frac{x+3}{4}=\frac{y+2}{3}=\frac{z+2}{1}\) intersect at the point \(P\). If the distance of \(P\) from the line \(\frac{x+1}{2}=\frac{y-1}{3}=\frac{z-1}{1}\) is \(l\), then \(14 l^2\) is equal to .................JEE Mains 2024 Medium
- If \(0\,<\,x\,<\,1\), then \(\frac{3}{2} x^{2}+\frac{5}{3} x^{3}+\frac{7}{4} x^{4}+\ldots . .\), is equal to :JEE Mains 2021 Hard
- The mean and standard deviation of \(50\) observations are \(15\) and \(2\) respectively. It was found that one incorrect observation was taken such that the sum of correct and incorrect observations is \(70\) . If the correct mean is \(16\) , then the correct variance is equal toJEE Mains 2022 Medium
- Two circles in the first quadrant of radii \(r_1\) and \(r_2\) touch the coordinate axes. Each of them cuts off an intercept of \(2\) units with the line \(x+y=2\). Then \(r_1^2+r_2^2-r_1 r_2\) is equal to \(...........\)JEE Mains 2023 Hard