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3 months ago

Class 11th Physics Thermodynamics

A Carnot engine working between the temperature 500 K and 1000 K does a work of 1000 J. The heat energy supplied by the source to the engine per cycle is

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Vishal Baghel

Contributor-Level 10

$η = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{500}{1000} = \frac{1}{2}$

$η = \frac{W}{Q_{1}}$

$\Rightarrow Q_{1} = \frac{W}{η} = \frac{1000}{1 / 2}$

$\Rightarrow Q_{1} = 2000 J$

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3 months ago

Class 11th Physics Thermodynamics

Consider a process on a system shown in figure below. During the process, the work done by the system

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Vishal Baghel

Contributor-Level 10

During the process are under P – V graph continuously increases but rate of increment varies.

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3 months ago

Class 11th Physics Mechanical Properties of Fluids

A rain drop of radius r falls in air with terminal velocity v. What is the terminal velocity of a rain drop of radius 3r?

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Vishal Baghel

Contributor-Level 10

$v_{T} \propto r^{2}$

$\frac{v_{T_{1}}}{v_{T_{2}}} = \frac{r_{1}^{2}}{r_{2}^{2}} = \frac{r^{2}}{9 r^{2}}$

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3 months ago

Class 11th Physics System of Particles and Rotational Motion

Two circular rings (of same material) are of same thickness. The diameter of first ring is twice that of second. The moment of inertia of first ring as compared to that of second is

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Vishal Baghel

Contributor-Level 10

$\frac{l_{1}}{l_{2}} = \frac{M_{1} R_{1}^{2}}{M_{2} R_{2}^{2}} = \frac{ρ * 2 π R_{1} * R_{1}^{2}}{ρ * 2 π R_{2} * R_{2}^{2}} = \frac{R_{1}^{3}}{R_{2}^{3}} = \frac{8}{1}$

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3 months ago

Class 11th Physics System of Particles and Rotational Motion

In rotational motion of a rigid body about an axis, particles move with

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Vishal Baghel

Contributor-Level 10

In rotational motion, angular velocity of every particle on rigid body will be same. But linear velocity is given as v = $r ω .$

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3 months ago

Class 11th Physics System of Particles and Rotational Motion

A body of moment of inertia 4 kg m2 rotating with an angular speed of 4 rad/s has the 4x J of kinetic energy. Determine the value of x.

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Vishal Baghel

Contributor-Level 10

$K . E = \frac{1}{2} l ω^{2}$

$K . E = \frac{1}{2} * 4 * 16 = 32 = 4 * 8 J$

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3 months ago

Class 11th Physics

An insect of mass m = 2g is inside a vertical drum of radius 1m that is rotating with an angular velocity of 10 rad/s. If the insect does not fall off then the minimum coefficient of friction is

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Vishal Baghel

Contributor-Level 10

$f ? m g$

$? ? m r ?^{2} ? m g$

$? ? = \frac{g}{r ?^{2}} = \frac{10}{1 * 100} = 0.1$

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3 months ago

Class 11th Physics

A particle moves in a circular orbit of radius r under a central attractive force F = $- \frac{k}{r},$ k is constant. The time period of its motion is proportional to

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Vishal Baghel

Contributor-Level 10

$F = m r ω^{2} = \frac{k}{r}$

$\begin{array}{l} \Rightarrow ω \propto \frac{1}{r} \\ \Rightarrow T \propto r \end{array}$

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3 months ago

Class 11th Work, Energy and Power

The position x of a particle of mass 2kg moving along straight line is given as x = (t – 2)², where t is in second and x is in metre. The work done by the force in first 2s is

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Vishal Baghel

Contributor-Level 10

$\begin{array}{l} \Rightarrow x = {(t - 2)}^{2} \\ \Rightarrow v = 2 t - 4 \end{array}$

$v_{t = 0} = - 4 m / s$

$v_{t = 2} = 0 m / s$

Work done $= Δ K$

$\Rightarrow W = \frac{1}{2} m * 0 - \frac{1}{2} * 2 * 16$

=> W = 16 J

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3 months ago

Class 11th Physics

A car is moving in a circular horizontal track of radius 10 $m$ with a constant speed of 10 $m / s$ . A bob is suspended from the roof of the car by a light wire of length 1.0 $m$ . The angle made by the wire with the vertical is