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9 months ago

Physics Class 12th

Two air filled capacitors are connected as shown. The left capacitor is suddenly filled with a dielectric of constant K. The work done by battery after that is $24 μ J .$ Dielectric constant K is:-

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Vishal Baghel

Contributor-Level 10

$W D = Δ Q V$

$\Rightarrow Δ Q = 4 μ C$

$Q_{i} = \frac{2 * 4}{2 + 4} * 6 = 8 μ C$

$Q_{f} = 12 μ C = C_{e q} * 6$

$C_{e q} = 2 μ F \Rightarrow C_{1} = C_{2} = 4 μ F$

$k = \frac{C_{1}}{C_{0}} = 2$

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9 months ago

Physics Class 12th

In half deflection method, the resistance of resistance box in series with the galvanometer is 10,000 $Ω$ . When the galvanometer is shunted with 10 $Ω$ resistance, its reading drops to half the initial value. The resistance of galvanometer is:-

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Vishal Baghel

Contributor-Level 10

$i = \frac{v}{R + G}$

$\frac{i}{2} = \frac{v}{\frac{S G}{S + G} + R} * \frac{S}{S + G}$

$\Rightarrow \frac{2 S}{S G + R G + R S} = \frac{1}{R + G}$

$\frac{S R}{R - S} = G$

R > > S

$\Rightarrow G \approx S$

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9 months ago

Physics Physics Mechanical Properties of Fluids

A plastic ball is rising in water with terminal speed v. If we use a different plastic whose density is double that of the original ball but still less that density of water, keeping the radius same, the terminal speed would be:

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Vishal Baghel

Contributor-Level 10

$v = \frac{2}{9} \frac{r^{2} g (ρ - σ)}{η}$

$v' = \frac{2}{9} r^{2} g \frac{(ρ - 2 σ)}{η}$

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9 months ago

Physics Physics Mechanical Properties of Fluids

The electric field line pattern for charges + 2q & - q are shown. Select the most appropriate diagram:-

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Vishal Baghel

Contributor-Level 10

Field lines are proportional to quantity of charge & they originate at positive charge & terminates at -ve charge or at $\infty$

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9 months ago

Physics Physics Mechanical Properties of Fluids

Two blocks of same mass but different density $ρ_{1} & ρ_{2}$ are floating in water. Block-2 has higher fraction of its volume submerged in water. If buoyant force on them are B₁ & B₂ :-

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Vishal Baghel

Contributor-Level 10

$B = m g \Rightarrow B_{1} = B_{2}$

$ρ_{1} V_{1} g = B = ρ_{w} v_{L D} g$

$\frac{ρ_{2}}{ρ_{W}} = f_{2}$

$\Rightarrow ρ_{1} > ρ_{1}$

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9 months ago

Physics Physics Wave Optics

A car is moving towards a stationary observer at a speed of 108 km/hr. The speed of sound is 330 m/s. If the observer hears the frequency of horn as 550 Hz, what frequency will he hear after the car has passed?

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Vishal Baghel

Contributor-Level 10

$v = 108 * \frac{5}{18} = 30 m / s$

$f_{1} = \frac{C}{C - v} f_{0}$

$f = \frac{330}{330 + 30} * 500 = \frac{33}{36} * 500 = \frac{5500}{12}$

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9 months ago

Physics Chemistry Chemical Kinetics

Assume temperature of 27^oC p = 10⁵ Pa, n = 1 mole diameter of air molecules as 10^-10m, which of the following is correct?

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Vishal Baghel

Contributor-Level 10

$λ = \frac{v}{\sqrt[]{2} π d^{2} n N_{a}} = \frac{R T}{\sqrt[]{2} π d^{2} p N_{a}}$

= $\frac{\frac{25}{3} * 300}{\sqrt[]{2} * π * 1 0^{- 20} * 1 0^{5} * 6 * 1 0^{23}}$

$x^{3} = \frac{v}{n N_{a}}$

$= {(\frac{\frac{25}{3} * 300}{1 0^{5} * 6 * 1 0^{23}})}^{1 / 3}$

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New answer posted

9 months ago

Physics Class 11th

An igloo, a hemispherical enclosure built of ice $(1.67 J / m - s ° C)$ , has as inner radius of 2.50m. The thickness of the ice is 0.5m. At what rate must thermal energy be generated to maintain the air inside the igloo at $5 ° C$ when the outside temperature is - $40 ° C ?$ Ignore all thermal energy losses through the ground or by air currents.

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Vishal Baghel

Contributor-Level 10

$\frac{d H}{d t} = - 2 π x^{2} k \frac{d T}{d x}$

$\frac{d H}{d t} = \frac{2 π * k * 45}{\frac{1}{2.5} - \frac{1}{3}} = 2.25 π k W$

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9 months ago

Physics Physics Oscillations

If we want that a simple pendulum oscillates with same time period in summer as it did in winter, what changes to the simple pendulum should we do during summer?

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Vishal Baghel

Contributor-Level 10

$T = 2 π \sqrt[]{\frac{l}{g}}$

In summer, length will increase due to expansion, hence for same time period we have to decrease $l$ in summer.

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9 months ago

Physics Class 11th

A square of mass m is made of thin wire with sides of length a. Calculate the rotational inertia about the z-axis.

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Vishal Baghel

Contributor-Level 10

$I = \frac{m}{4} * \frac{a^{2}}{3} * 2 + \frac{m}{4} * (\frac{a^{2}}{12} + {(\frac{a}{2})}^{2} + a^{2}) * 2$

$= \frac{m a^{2}}{6} + \frac{2}{3} m a^{2} = \frac{m a^{2} + 4 m a^{2}}{6} = \frac{5 m a^{2}}{6}$

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