154793
Assertion:- When number of turns in a coil is doubled, coefficient of self-inductance of the coil becomes 4 times. Reason:- This is because $\mathrm{L} \mathrm{N}^{2}$.
1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
Explanation:
A Self inductance $\mathrm{L}=\frac{\mu_0 \mathrm{~N}^2 \mathrm{~A}}{l}$ If, $\quad \mathrm{N}=2 \mathrm{~N}$ Then, $\mathrm{L}^{\prime}=\frac{\mu_{\mathrm{o}}(2 \mathrm{~N})^{2} \times \mathrm{A}}{l}$ $\mathrm{~L}^{\prime}=\frac{4 \mu_{\mathrm{o}} \mathrm{N}^{2} \times \mathrm{A}}{l}$ $\mathrm{~L}^{\prime}=4 \mathrm{~L}$ $\mathrm{~L} \propto \mathrm{N}^{2}$ Hence, both Assertion and Reason are correct and reason is correct explanation of Assertion.
AIIMS-27.05.2018(M)
Electro Magnetic Induction
154794
Assertion: In the phenomenon of mutual induction, self induction of each of the coil persists. Reason: Self induction arises due to change in current in the coil itself. In mutual induction current changes in both the individual coil.
1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
Explanation:
A In mutual induction opposing emf produces flux in a coil as a result change in current in neighboring coil only. Hence, option a is correct.
AIIMS-26.05.2018(M)
Electro Magnetic Induction
154796
A coil having 200 turns has a surface area of $0.15 \mathrm{~m}^{2}$. A magnetic field of strength $0.2 \mathrm{~T}$ applied perpendicular to this changes to $0.6 \mathrm{~T}$ in $0.4 \mathrm{~s}$, then the induced emf in the coil is
1 45
2 30
3 15
4 60
Explanation:
B Given: $\mathrm{N}=200$ turns, $\quad \mathrm{A}=0.15 \mathrm{~m}^{2}$ $\mathrm{B}_{1}=0.2 \mathrm{~T}$ and $\mathrm{B}_{2}=0.6 \mathrm{~T}$ and $\quad \Delta \mathrm{t}=0.4 \mathrm{sec}$ Induced emf $\mathrm{e}=\mathrm{NA} \frac{\mathrm{dB}}{\mathrm{dt}}$ $\mathrm{e}=200 \times 0.15 \times \frac{(0.6-0.2)}{0.4}$ $\mathrm{e}=30 \mathrm{~V}$
GUJCET 2018
Electro Magnetic Induction
154798
A coil of wire of radius $r$ has 600 turns and self inductance of $108 \mathrm{mH}$. The self inductance of a coil with same radius and $\mathbf{5 0 0}$ turns is
1 $80 \mathrm{mH}$
2 $75 \mathrm{mH}$
3 $108 \mathrm{mH}$
4 $90 \mathrm{mH}$
Explanation:
B Given here, $\mathrm{N}_{1}=600, \mathrm{~N}_{2}=500$ $\mathrm{L}_{1}=108 \mathrm{mH}$ We know self inductance of coil, $\mathrm{L}=\frac{\mu_{0} \mathrm{~N}^{2} \mathrm{~A}}{l}$ Where, $\mathrm{A}=\pi \mathrm{r}^{2}$. Hence, $\mathrm{L} \propto \mathrm{N}^{2}$ $\therefore \quad \frac{\mathrm{L}_{2}}{\mathrm{~L}_{1}}=\left(\frac{\mathrm{N}_{2}}{\mathrm{~N}_{1}}\right)^{2}$ $\frac{\mathrm{L}_{2}}{108}=\left(\frac{500}{600}\right)^{2}$ $\mathrm{~L}_{2}=75 \mathrm{mH}$
NEET Test Series from KOTA - 10 Papers In MS WORD
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Electro Magnetic Induction
154793
Assertion:- When number of turns in a coil is doubled, coefficient of self-inductance of the coil becomes 4 times. Reason:- This is because $\mathrm{L} \mathrm{N}^{2}$.
1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
Explanation:
A Self inductance $\mathrm{L}=\frac{\mu_0 \mathrm{~N}^2 \mathrm{~A}}{l}$ If, $\quad \mathrm{N}=2 \mathrm{~N}$ Then, $\mathrm{L}^{\prime}=\frac{\mu_{\mathrm{o}}(2 \mathrm{~N})^{2} \times \mathrm{A}}{l}$ $\mathrm{~L}^{\prime}=\frac{4 \mu_{\mathrm{o}} \mathrm{N}^{2} \times \mathrm{A}}{l}$ $\mathrm{~L}^{\prime}=4 \mathrm{~L}$ $\mathrm{~L} \propto \mathrm{N}^{2}$ Hence, both Assertion and Reason are correct and reason is correct explanation of Assertion.
AIIMS-27.05.2018(M)
Electro Magnetic Induction
154794
Assertion: In the phenomenon of mutual induction, self induction of each of the coil persists. Reason: Self induction arises due to change in current in the coil itself. In mutual induction current changes in both the individual coil.
1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
Explanation:
A In mutual induction opposing emf produces flux in a coil as a result change in current in neighboring coil only. Hence, option a is correct.
AIIMS-26.05.2018(M)
Electro Magnetic Induction
154796
A coil having 200 turns has a surface area of $0.15 \mathrm{~m}^{2}$. A magnetic field of strength $0.2 \mathrm{~T}$ applied perpendicular to this changes to $0.6 \mathrm{~T}$ in $0.4 \mathrm{~s}$, then the induced emf in the coil is
1 45
2 30
3 15
4 60
Explanation:
B Given: $\mathrm{N}=200$ turns, $\quad \mathrm{A}=0.15 \mathrm{~m}^{2}$ $\mathrm{B}_{1}=0.2 \mathrm{~T}$ and $\mathrm{B}_{2}=0.6 \mathrm{~T}$ and $\quad \Delta \mathrm{t}=0.4 \mathrm{sec}$ Induced emf $\mathrm{e}=\mathrm{NA} \frac{\mathrm{dB}}{\mathrm{dt}}$ $\mathrm{e}=200 \times 0.15 \times \frac{(0.6-0.2)}{0.4}$ $\mathrm{e}=30 \mathrm{~V}$
GUJCET 2018
Electro Magnetic Induction
154798
A coil of wire of radius $r$ has 600 turns and self inductance of $108 \mathrm{mH}$. The self inductance of a coil with same radius and $\mathbf{5 0 0}$ turns is
1 $80 \mathrm{mH}$
2 $75 \mathrm{mH}$
3 $108 \mathrm{mH}$
4 $90 \mathrm{mH}$
Explanation:
B Given here, $\mathrm{N}_{1}=600, \mathrm{~N}_{2}=500$ $\mathrm{L}_{1}=108 \mathrm{mH}$ We know self inductance of coil, $\mathrm{L}=\frac{\mu_{0} \mathrm{~N}^{2} \mathrm{~A}}{l}$ Where, $\mathrm{A}=\pi \mathrm{r}^{2}$. Hence, $\mathrm{L} \propto \mathrm{N}^{2}$ $\therefore \quad \frac{\mathrm{L}_{2}}{\mathrm{~L}_{1}}=\left(\frac{\mathrm{N}_{2}}{\mathrm{~N}_{1}}\right)^{2}$ $\frac{\mathrm{L}_{2}}{108}=\left(\frac{500}{600}\right)^{2}$ $\mathrm{~L}_{2}=75 \mathrm{mH}$
154793
Assertion:- When number of turns in a coil is doubled, coefficient of self-inductance of the coil becomes 4 times. Reason:- This is because $\mathrm{L} \mathrm{N}^{2}$.
1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
Explanation:
A Self inductance $\mathrm{L}=\frac{\mu_0 \mathrm{~N}^2 \mathrm{~A}}{l}$ If, $\quad \mathrm{N}=2 \mathrm{~N}$ Then, $\mathrm{L}^{\prime}=\frac{\mu_{\mathrm{o}}(2 \mathrm{~N})^{2} \times \mathrm{A}}{l}$ $\mathrm{~L}^{\prime}=\frac{4 \mu_{\mathrm{o}} \mathrm{N}^{2} \times \mathrm{A}}{l}$ $\mathrm{~L}^{\prime}=4 \mathrm{~L}$ $\mathrm{~L} \propto \mathrm{N}^{2}$ Hence, both Assertion and Reason are correct and reason is correct explanation of Assertion.
AIIMS-27.05.2018(M)
Electro Magnetic Induction
154794
Assertion: In the phenomenon of mutual induction, self induction of each of the coil persists. Reason: Self induction arises due to change in current in the coil itself. In mutual induction current changes in both the individual coil.
1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
Explanation:
A In mutual induction opposing emf produces flux in a coil as a result change in current in neighboring coil only. Hence, option a is correct.
AIIMS-26.05.2018(M)
Electro Magnetic Induction
154796
A coil having 200 turns has a surface area of $0.15 \mathrm{~m}^{2}$. A magnetic field of strength $0.2 \mathrm{~T}$ applied perpendicular to this changes to $0.6 \mathrm{~T}$ in $0.4 \mathrm{~s}$, then the induced emf in the coil is
1 45
2 30
3 15
4 60
Explanation:
B Given: $\mathrm{N}=200$ turns, $\quad \mathrm{A}=0.15 \mathrm{~m}^{2}$ $\mathrm{B}_{1}=0.2 \mathrm{~T}$ and $\mathrm{B}_{2}=0.6 \mathrm{~T}$ and $\quad \Delta \mathrm{t}=0.4 \mathrm{sec}$ Induced emf $\mathrm{e}=\mathrm{NA} \frac{\mathrm{dB}}{\mathrm{dt}}$ $\mathrm{e}=200 \times 0.15 \times \frac{(0.6-0.2)}{0.4}$ $\mathrm{e}=30 \mathrm{~V}$
GUJCET 2018
Electro Magnetic Induction
154798
A coil of wire of radius $r$ has 600 turns and self inductance of $108 \mathrm{mH}$. The self inductance of a coil with same radius and $\mathbf{5 0 0}$ turns is
1 $80 \mathrm{mH}$
2 $75 \mathrm{mH}$
3 $108 \mathrm{mH}$
4 $90 \mathrm{mH}$
Explanation:
B Given here, $\mathrm{N}_{1}=600, \mathrm{~N}_{2}=500$ $\mathrm{L}_{1}=108 \mathrm{mH}$ We know self inductance of coil, $\mathrm{L}=\frac{\mu_{0} \mathrm{~N}^{2} \mathrm{~A}}{l}$ Where, $\mathrm{A}=\pi \mathrm{r}^{2}$. Hence, $\mathrm{L} \propto \mathrm{N}^{2}$ $\therefore \quad \frac{\mathrm{L}_{2}}{\mathrm{~L}_{1}}=\left(\frac{\mathrm{N}_{2}}{\mathrm{~N}_{1}}\right)^{2}$ $\frac{\mathrm{L}_{2}}{108}=\left(\frac{500}{600}\right)^{2}$ $\mathrm{~L}_{2}=75 \mathrm{mH}$
154793
Assertion:- When number of turns in a coil is doubled, coefficient of self-inductance of the coil becomes 4 times. Reason:- This is because $\mathrm{L} \mathrm{N}^{2}$.
1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
Explanation:
A Self inductance $\mathrm{L}=\frac{\mu_0 \mathrm{~N}^2 \mathrm{~A}}{l}$ If, $\quad \mathrm{N}=2 \mathrm{~N}$ Then, $\mathrm{L}^{\prime}=\frac{\mu_{\mathrm{o}}(2 \mathrm{~N})^{2} \times \mathrm{A}}{l}$ $\mathrm{~L}^{\prime}=\frac{4 \mu_{\mathrm{o}} \mathrm{N}^{2} \times \mathrm{A}}{l}$ $\mathrm{~L}^{\prime}=4 \mathrm{~L}$ $\mathrm{~L} \propto \mathrm{N}^{2}$ Hence, both Assertion and Reason are correct and reason is correct explanation of Assertion.
AIIMS-27.05.2018(M)
Electro Magnetic Induction
154794
Assertion: In the phenomenon of mutual induction, self induction of each of the coil persists. Reason: Self induction arises due to change in current in the coil itself. In mutual induction current changes in both the individual coil.
1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
Explanation:
A In mutual induction opposing emf produces flux in a coil as a result change in current in neighboring coil only. Hence, option a is correct.
AIIMS-26.05.2018(M)
Electro Magnetic Induction
154796
A coil having 200 turns has a surface area of $0.15 \mathrm{~m}^{2}$. A magnetic field of strength $0.2 \mathrm{~T}$ applied perpendicular to this changes to $0.6 \mathrm{~T}$ in $0.4 \mathrm{~s}$, then the induced emf in the coil is
1 45
2 30
3 15
4 60
Explanation:
B Given: $\mathrm{N}=200$ turns, $\quad \mathrm{A}=0.15 \mathrm{~m}^{2}$ $\mathrm{B}_{1}=0.2 \mathrm{~T}$ and $\mathrm{B}_{2}=0.6 \mathrm{~T}$ and $\quad \Delta \mathrm{t}=0.4 \mathrm{sec}$ Induced emf $\mathrm{e}=\mathrm{NA} \frac{\mathrm{dB}}{\mathrm{dt}}$ $\mathrm{e}=200 \times 0.15 \times \frac{(0.6-0.2)}{0.4}$ $\mathrm{e}=30 \mathrm{~V}$
GUJCET 2018
Electro Magnetic Induction
154798
A coil of wire of radius $r$ has 600 turns and self inductance of $108 \mathrm{mH}$. The self inductance of a coil with same radius and $\mathbf{5 0 0}$ turns is
1 $80 \mathrm{mH}$
2 $75 \mathrm{mH}$
3 $108 \mathrm{mH}$
4 $90 \mathrm{mH}$
Explanation:
B Given here, $\mathrm{N}_{1}=600, \mathrm{~N}_{2}=500$ $\mathrm{L}_{1}=108 \mathrm{mH}$ We know self inductance of coil, $\mathrm{L}=\frac{\mu_{0} \mathrm{~N}^{2} \mathrm{~A}}{l}$ Where, $\mathrm{A}=\pi \mathrm{r}^{2}$. Hence, $\mathrm{L} \propto \mathrm{N}^{2}$ $\therefore \quad \frac{\mathrm{L}_{2}}{\mathrm{~L}_{1}}=\left(\frac{\mathrm{N}_{2}}{\mathrm{~N}_{1}}\right)^{2}$ $\frac{\mathrm{L}_{2}}{108}=\left(\frac{500}{600}\right)^{2}$ $\mathrm{~L}_{2}=75 \mathrm{mH}$
