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6 months ago

Physics Moving Charges and Magnetism

A closely wounded circular coil of radius 5cm produces a magnetic field of 37.68 * 10^-4 T at its centre. The current through the coil is_ A. [Given, number of turns in the coil is 100 and π = 3.14]

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Vishal Baghel

Contributor-Level 10

$B_{c e n t r e} = N \frac{μ_{0} i}{2 r}$

$\Rightarrow \frac{100 * 4 π * 1 0^{- 7} * i}{2 * 5 * 1 0^{- 2}} = 37.68 * 1 0^{- 4}$

$∴ i = \frac{37.68}{4 * 3.14} = 3 A$

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6 months ago

Physics Class 12th

The current I flowing through the given circuit will be_________A.

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Vishal Baghel

Contributor-Level 10

$i = \frac{v}{R_{N e t}} = \frac{6}{3} = 2 A$

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6 months ago

Physics Class 11th

One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture of constant volume is $\frac{α^{2}}{4} R J / m o l K;$ then the value of a will be________.

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Vishal Baghel

Contributor-Level 10

$n_{1} = 1 \to m o n o t o m i c$

$n_{2} = 3 \to d i a t o m i c$ $C_{v} = \frac{α^{2} R}{4} J / m o l^{- k}$

As, Cv_(mix) = $\frac{1 * \frac{3}{2} R + 3 * \frac{5}{2} R}{4} = \frac{9 R}{4} = \frac{α^{2} R}{4}$

$∴ α = 3$

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6 months ago

Physics Thermodynamics

The pressure P₁ and density d₁ of diatomic gas $(γ = \frac{7}{5})$ changes suddenly to P₂(>P₁) and d₂ respectively during an adiabatic process. The temperature of the gas increases and becomes ________times of its initial temperature. (given $\frac{d_{2}}{d_{1}} = 32)$

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Vishal Baghel

Contributor-Level 10

For adiabatic process – PV^Y= const

$T_{1} {V_{1}}^{Y - 1} = T_{2} V_{2}^{Y - 1}$

$\frac{T_{2}}{T_{1}} = {(\frac{v_{1}}{v_{2}})}^{Y - 1} = {(\frac{d_{2}}{d_{1}})}^{Y - 1} = {(32)}^{(\frac{7}{5} - 1)} = {(32)}^{2 / 5}$

$= {(2)}^{2} = 4$

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6 months ago

Physics Class 11th

If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that of the acceleration due to gravity at a dept ah(h <e) from the earth surface. The value of a will be_______.

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Vishal Baghel

Contributor-Level 10

$g_{(a t h)} = g_{(a t d e p t h α h)}$ h << R

$\Rightarrow g (1 - \frac{2 h}{R}) = g (1 - \frac{α h}{R})$

$\begin{array}{l} 1 - \frac{2 h}{R} = 1 - \frac{α h}{R} \Rightarrow \frac{2 h}{R} = α \frac{h}{R} \\ α = 2 \end{array}$

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6 months ago

Physics Class 11th

An object is projected in the air with initial velocity u at an angle q. The projectile motion is such that the horizontal range R, in maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be_______degree.

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Vishal Baghel

Contributor-Level 10

$R = \frac{u^{2} s i n (2 * 45 °)}{g} = \frac{u^{2}}{g}$

$\frac{R}{2} = \frac{u^{2}}{2 g} = \frac{u^{2} s i n 20}{g}$

$s i n 2 θ = \frac{1}{2}$

$\Rightarrow 2 θ = 30 ° \Rightarrow θ = 15 °$

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6 months ago

Physics System of Particles and Rotational Motion

Four identical discs each of mass 'M' and diameter 'a' are arranged in a small plane as shown in figure. If the moment of inertia of the system about OO' is $\frac{}{}^{}$ $\frac{x}{4} M a^{2} .$ Then, the value of x will be__________.

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Vishal Baghel

Contributor-Level 10

$I_{O O'} = [\frac{1}{4} M {(\frac{a}{2})}^{2}] * 2 + [\frac{5}{4} m {(\frac{a}{2})}^{2}] * 2$

$= \frac{6 M a^{2}}{8} = \frac{3}{4} M a^{2}$

x=3

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6 months ago

Physics Work, Energy and Power

A block of mass 'm' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25 cm when, its speed is halved. The value of spring constant of used spring will be nE Nm^-¹ for n = _________.

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Vishal Baghel

Contributor-Level 10

loss in k = Gain in U spring

$\Rightarrow \frac{3 E}{4} = \frac{1}{2} k {(\frac{25}{100})}^{2}$

$\Rightarrow \frac{3 E}{4} = \frac{k}{32} \Rightarrow k = \frac{3 F}{4} * 32 = 24 E$

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6 months ago

Physics Mechanical Properties of Fluids

The diameter of an air bubble which was initially 2 mm, rises steadily through a solution of density 1750 kg m^-³ at the rate of 0.35 cms^-¹. The coefficient of viscosity of the solution is_________ poise (in nearest integer). (the density of air is negligible).

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Vishal Baghel

Contributor-Level 10

d₁ = 2mm = 2r

$ρ = 1750 k g / m^{3}$ coeff of viscosity H

$\frac{d}{d t} (2 r) = 0.35 c m / s$

here, $(\frac{4}{3} π r^{3}) ρ g = 6 π n r v$

$\Rightarrow η = \frac{4 r^{2} ρ g}{3 * 6 v} = \frac{2 r^{2} ρ g}{9 v}$

$\frac{350}{9 * 35} = \frac{10}{9} ? 1$

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6 months ago

Physics Class 11th

What is meant by the mechanics of a system of particles?

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Syed Aquib Ur Rahman

Contributor-Level 10

The mechanics of a system of particles is a branch of classical mechanics. It studies the motion of individual particles as a collective. Now, these particles may interact with each other and be subject to external forces, and that's what you learn in Class 11 Physics.

Another thing to note about the mechanics of a system of particles is that instead of tracking each particle individually, this approach simplifies complex motions by introducing the concept of the centre of mass.

The entire system with the internal motions of its components can often be described as a single point, with a mass equal to the total mass of the system,

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