Class 12th

Contributor-Level 10

from given information : I = A = 60°, r = $\frac{A}{2} = 30 °$ => $μ = \sqrt[]{3} = \frac{c}{v}$

$\Rightarrow v = \frac{c}{\sqrt[]{3}} \Rightarrow t i m e = \frac{(\frac{5 \sqrt[]{3}}{100})}{(\frac{3 * 1 0^{8}}{\sqrt[]{3}})} = 5 * 1 0^{- 10} s$

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Class 12th Physics

At very high frequencies, the effective impendance of the given circuit will be_______ $Ω .$

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Contributor-Level 10

$X_{c} = \frac{1}{ω c}, X_{L} = ω L$ so at very high frequencies capacitor behaves as conduct and inductor behaves as open circuit. The effective impedance will be $2 Ω .$

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Mr. Deepak has five sons – Umesh, Vikash, Shivam, Raman and Riya, and three daughters – Tamanna, Kuntala and Janaki. Three sons of Mr. Deepak were born first followed by two daughters. Riya is the eldest child and Janki is the youngest. Three of the children are studying at Trinity School and three are studying at St. Stefan. Tamanna and Shivam study at St. Stefan School. Kuntala, the eldest daughter, plays chess. Mansorover School offers cricket only, while Trinity school offers chess, Beside, these schools offer no other games. The children who are at Mansorover School have been born in succession. Vikash and Raman are cricketers

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Class 12th Physics Wave Optics

Contributor-Level 10

Ranking in born	Name	Game	School
1	Riya	Chess	Trinity
2	Vikash	Cricket	Mansorover
3	Raman	Cricket	Mansorover
4	Kuntala	Chess	Trinity
5	Tamanna		St. Stefan
6	Umesh	Football	St. Stefan
7	Shivam	Hockey	St. Stefan
8	Janki	Chess	Trinity

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In a Young's double slit experiment, the slits are separated by 0.3mm and the screen is 1.5m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4cm. The frequency of light used is______* 10¹⁴ Hz.

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Contributor-Level 10

Distance of 4^th bright fringe from central maxima = $\frac{4 λ D}{d}$

$S o, \frac{2.4}{100} = \frac{8 λ D}{d} \Rightarrow λ = \frac{2.4 * 0.3 * 1 0^{- 3}}{100 * 8 * 1.5} = 6 * 1 0^{- 7} m$

$f = \frac{c}{λ} = \frac{3 * 1 0^{8}}{6 * 1 0^{- 7}} = 5 * 1 0^{14} H z$

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Class 12th Magnetism and Matter

Contributor-Level 10

Ranking in born	Name	Game	School
1	Riya	Chess	Trinity
2	Vikash	Cricket	Mansorover
3	Raman	Cricket	Mansorover
4	Kuntala	Chess	Trinity
5	Tamanna		St. Stefan
6	Umesh	Football	St. Stefan
7	Shivam	Hockey	St. Stefan
8	Janki	Chess	Trinity

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A long solenoid with 1000 turns/m has a core material with relative permeability 500 and volume 10³ cm³. If the core material is replaced by another material having relative permeability of 750 with same volume maintaining same current of 0.75A in the solenoid, the fractional change in the magnetic moment of the core would be approximately $(\frac{x}{499}) .$ Find the value of x.

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Contributor-Level 10

$\frac{Δ M}{M} = \frac{Δ μ}{μ} = \frac{250}{500} = \frac{1}{2}$

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Class 12th Communication Systems

Contributor-Level 10

Ranking in born	Name	Game	School
1	Riya	Chess	Trinity
2	Vikash	Cricket	Mansorover
3	Raman	Cricket	Mansorover
4	Kuntala	Chess	Trinity
5	Tamanna		St. Stefan
6	Umesh	Football	St. Stefan
7	Shivam	Hockey	St. Stefan
8	Janki	Chess	Trinity

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A bandwidth of 6 MHz is available for A.M. transmission. If the maximum audio signal frequency used for modulating the carrier wave is not to exceed 6 kHz. The number of stations that can be broadcasted within this band simultaneously without interfering with each other will be_______.

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Contributor-Level 10

Signal bandwidth = 12KHz

No. of station = $\frac{6 M H z}{12 k H z} = 500$

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Class 12th Physics

A resistor dissipates 192 J of energy in 1s when a current of 4A is passed4 through it. Now, when the current is doubled, the amount of thermal energy dissipated in 5s in________J.

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Contributor-Level 10

Using Heat equation : H = i²Rt

=>192 = (4)² R (1)

H = (8)² R (5)

=>H = 3840 J

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Directions for questions: Mr. Deepak has five sons – Umesh, Vikash, Shivam, Raman and Riya, and three daughters – Tamanna, Kuntala and Janaki. Three sons of Mr. Deepak were born first followed by two daughters. Riya is the eldest child and Janki is the youngest. Three of the children are studying at Trinity School and three are studying at St. Stefan. Tamanna and Shivam study at St. Stefan School. Kuntala, the eldest daughter, plays chess. Mansorover School offers cricket only, while Trinity school offers chess, Beside, these schools offer no other games. The children who are at Mansorover School have been born in succession. Vikas

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