Physics

In an electrical circuit, a battery is connected to pass 20 C of charge through it in a certain given time. The potential difference between two plates of the battery is maintained at 15V. The work done by the battery is--------- J.

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Contributor-Level 10

$W = q Δ V = 20 * 15 = 300 J$

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5 months ago

The circuit contains two diodes each with a forward resistance of 50 $Ω$ and with infinite reverse resistance. If the battery voltage is 6 V, the current through the 120 $Ω$ resistance is---------mA.

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Contributor-Level 10

D₁ is forward biased & D₂is reverse biased.

$l = \frac{6}{120 + 130 + 50} = \frac{6}{300} = 2 * 1 0^{- 2} A = 20 * 1 0^{- 3} A = 20 m A$

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The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors $\vec{a}, \vec{b} a n d \vec{c}$ respectively. Then choose the correct relation for these vectors.

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Physics Physics Thermodynamics

Contributor-Level 10

$\hat{r} - \hat{i} = 2 c o s θ \hat{n} . . . . . . (1)$

$\hat{i} . \hat{n} = - c o s θ . . . . . . (2)$

$\Rightarrow \hat{r} = \hat{i} - 2 (\hat{i} . \hat{n}) \hat{n}$

$\Rightarrow \vec{b} = \vec{a} - 2 (\vec{a} . \vec{c}) \vec{c}$

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A container is divided into two chambers by a partition. The volume of first chamber is 4.5 litre and second chamber is 5.5 litre. The first chamber contain 3.0 moles of gas at pressure 2.0 atm and second chamber contains 4.0 moles of gas at pressure 3.0 atm. After the partition is removed and the mixture attains equilibrium, then, the common equilibrium pressure existing in the mixture is x * 10^-1 atm. Value of x is----------.

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Contributor-Level 10

$P = \frac{P_{1} V_{1} + P_{2} V_{2}}{V_{1} + V_{2}} = \frac{2 * 4.5 + 3 * 5.5}{10} = \frac{9 + 16.5}{10} = 25.5 * 1 0^{- 1} a t m$

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Physics Physics Wave Optics

In a Young's double slit experiment two slits are separated by 2mm and the screen is placed one meter away. When a light of wavelength 500nm used, the fringe separation will be

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Physics Electric Charges and Fields

Contributor-Level 10

$β = \frac{λ D}{d} = \frac{500 * 1 0^{- 9} * 1}{2 * 1 0^{- 3}} = 250 * 1 0^{- 6} m = 250 * 1 0^{- 3} m m = 0.25 m m$

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An inclined plane making an angle of 30° with the horizontal is placed in a uniform horizontal electric field $200 \frac{N}{C}$ as shown in the figure. A body of mass 1kg and charge 5 mC is allowed to slide down from rest at a height of 1m. If the coefficient of friction is 0.2, find the time taken by the body to reach the bottom.

$[g = 9.8 m / s^{2}; s i n 30 ° = \frac{1}{2}; c o s 30 ° = \frac{\sqrt[]{3}}{2}]$

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Physics Physics Mechanical Properties of Solids

Contributor-Level 10

$N = m g c o s 30 ° + q E s i n 30 °$

$a = \frac{m g s i n θ - q E c o s θ - μ N}{m} = 2.30 m / s^{2}$

$S = u t + \frac{1}{2} a t^{2}$

$\Rightarrow t = \sqrt[]{\frac{2 l}{a}} = 1.31 s e c$

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5 months ago

The normal density of a material its $ρ$ and its bulk modulus of elasticity is K. The magnitude of increase in density of material, when a pressure P is applied uniformly on all sides, will be

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Contributor-Level 10

From defined of bulk modulus

$K = - \frac{P}{(d V / V)} . . . . . . . (1)$

m = $ρ v = c o n s t a n t$

$ρ d V + V d ρ = 0$

$\frac{d V}{V} = - \frac{d ρ}{ρ} . . . . . . . . . (2)$

With the help of equations (1) and (2), we can write

$K = - \frac{P}{(- \frac{d ρ}{ρ})} = \frac{ρ P}{d ρ} \Rightarrow d ρ = \frac{ρ P}{K}$

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Physics Class 11th

A tuning fork A of unknown frequency produces 5 beats/s with a fork of known frequency 340 Hz. When fork A is filed, the beat frequency decreases to 2 beats/s. What is the frequency of fork A?

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Contributor-Level 10

Frequency increases on filing. So, initial frequency of A is 335 Hz.

f = 340 – 5 = 335 Hz

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5 months ago

Find the peak current and resonant frequency of the following circuit (as shown in figure).

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Contributor-Level 10

$Z = \sqrt[]{R^{2} + {(X_{L} - X_{C})}^{2}}$

$Z = \sqrt[]{{(120)}^{2} + {(10 - 100)}^{2}} = 150 Ω$

$ω = \frac{1}{\sqrt[]{L C}} = \frac{1}{\sqrt[]{1 0^{- 1} * 1 0^{- 4}}} = \sqrt[]{1 0^{5}}$

$? ω = 2 π f$

$\Rightarrow f = \frac{1 0^{3}}{2 π \sqrt[]{10}} = 50 H z$

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Physics Physics Nuclei

A radioactive simple is undergoing α decay. At any time t₁, its activity is A and another time t₂, the activity is $\frac{A}{5} .$ What is the average life time for the sample?

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