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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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2 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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2 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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2 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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2 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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2 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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2 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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2 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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2 months ago

Physics Motion in a Plane

An electron in a research apparatus follows a circle path. On the electron's first circuit of the apparatus, its speed is v₀ and the radius of its circular path is R. Each time it makes on circuit, it passes a short region where it receives a “kick” and gains an additional speed of $\frac{v_{0}}{100} .$ The electron follows a circular path such that the magnitude of its acceleration is always the same. What is the radius of the circular path after the electron has received 10 kicks?

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Vishal Baghel

Contributor-Level 10

$a = \frac{v_{0}^{2}}{R}$ $\frac{_{}^{}}{}$

after 10 kicks, $v = v_{0} + \frac{10 v_{0}}{100} = 1.1 v_{0}$ $_{} \frac{_{}}{}_{}$

$\Rightarrow R_{1} = 1.21 R$

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2 months ago

Physics Class 11th

A projectile travels at θ below horizontal 1 sec after projection as shown. What is the value of θ?

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Vishal Baghel

Contributor-Level 10

$t a n θ = \frac{v_{y}}{v_{x}} = \frac{u_{y} - g t}{u_{x}}$

$\Rightarrow t a n θ = | \frac{8 - 10}{4} | = | - \frac{1}{2} |$

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