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8 months ago

Physics Class 12th

512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is ……………. V.

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Vishal Baghel

Contributor-Level 10

Let the charge of on each drop be q and radius of each drop be r.

$\frac{k q}{r} = 2$

When all drops are joined, radius,

$r' = {(512)}^{\frac{1}{3}} r = 8 r$

Potential of the new drop,

$V = \frac{k . 512 q}{8 r} = 64 \frac{k q}{r} = 128 V$

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8 months ago

Physics Class 12th

A transmitting station releases waves of wavelength 960m. A capacitor of 2.56 $μ F$ is used in the resonant circuit. The self inductance of coil necessary for resonance is……………. * 10^-8 H.

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Vishal Baghel

Contributor-Level 10

2 π f $\frac{1}{\sqrt[]{L C}} \Rightarrow L = \frac{λ^{2}}{4 π^{2} C c^{2}} = \frac{96 0^{2}}{4 * 3.1 4^{2} * 2.56 * 1 0^{- 6} * 9 * 1 0^{16}}$ =10^-7 = 10 * 10^-8 H

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8 months ago

Physics Class 11th

The same size images are formed by a convex lens by a convex lens when the object is placed at 20cm or at 10cm from the lens. The focal length of convex lens is ……………cm.

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Vishal Baghel

Contributor-Level 10

Image is virtual, when an object is placed at distance 10 cm from the lens and image is real when object is placed at 20 cm from the lens.

Thus, m₁ = -m₂ => $\frac{f}{f - 10} = \frac{- f}{f - 20} \Rightarrow f = 15 c m$

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8 months ago

Physics Class 12th

In the given circuit of potentiometer, the potential difference E across AB (10m length) is larger than E₁ and E₂ as well. For key K₁(closed), the jokey is adjusted to touch the wire at point J₁ so that there is no deflection in the galvanometer. Now the first battery (E₁) is replaced by second battery (E₂) for working by making K₁ open and K₂ closed. The galvanometer gives then null deflection at J₂. The value of $\frac{E_{1}}{E_{2}} i s \frac{a}{b},$ where a = …………….

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Vishal Baghel

Contributor-Level 10

$\frac{E_{1}}{E_{2}} = \frac{380}{760} = \frac{1}{2}$

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8 months ago

Physics Thermodynamics

In a certain thermodynamical process, the pressure of a gas depends on its volume as kV³. The work done when the temperature change from 100°C to 300°C will be……………. nR, where n denotes number of moles of a gas.

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Vishal Baghel

Contributor-Level 10

P = kV³ Þ PV^-3 = k Þ Polytropic Process with index m = -3

W = $\frac{n R (T_{2} - T_{1})}{1 - m} = \frac{n R (300 - 100)}{1 - (- 3)} = 50 n R$ .

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8 months ago

Physics Class 11th

An engine of a train, moving with uniform acceleration, passes the signal – post with velocity u and the last compartment with velocity $υ .$ The velocity with which middle point of the train passes the signal post is:

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Vishal Baghel

Contributor-Level 10

Assume the length of train be I and its acceleration be a.

$v^{2} = u^{2} + 2 a l \Rightarrow a l = \frac{v^{2} - u^{2}}{2}$

Velocity when middle point crosses the post,

$V_{m} = \sqrt[]{u^{2} + 2 a \frac{l}{2}} . = \sqrt[]{u^{2} + \frac{v^{2} - u^{2}}{2}} = \sqrt[]{\frac{u^{2} + v^{2}}{2}}$

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8 months ago

Physics Class 11th

Two satellites A and B of masses 200kg and 400kg are revolving round the earth at height of 600km and 1600km respectively. If T_A and T_B are the time periods of A and B respectively then the value of T_B – T_A :

[Given : radius of earth = 6400km, mass of earth = 6 * 10²⁴kg]

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Vishal Baghel

Contributor-Level 10

$T = 2 π \sqrt[]{\frac{r^{3}}{G M_{e}}}$

$T_{B} - T_{A} = \frac{2 π}{\sqrt[]{G M_{e}}} (r_{B}^{3 / 2} - r_{A}^{3 / 2}) = \frac{2 * 3.14}{\sqrt[]{6.67 * 1 0^{- 11} * 6 * 1 0^{24}}} [{(8 * 1 0^{6})}^{\frac{3}{2}} - {(7 * 1 0^{6})}^{\frac{3}{2}}]$

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New answer posted

8 months ago

Physics Physics Moving Charges and Magnetism

A proton, a deuteron and an α particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic force acting on them is ----------- and their speed is ----------- in the ratio.

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Vishal Baghel

Contributor-Level 10

$v = \frac{p}{m} \Rightarrow v_{p} : v_{d} : v_{α} = 1 : \frac{1}{2} : \frac{1}{4} = 4 : 2 : 1$

$F_{m a g} = q v B \Rightarrow F_{P} : F_{d} : F_{α} = 1 * 4 : 1 * 2 : 2 * 1 = 2 : 1 : 1$

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8 months ago

Physics Dual Nature of Radiation and Matter

Match List – I with List – II :

List – I List – II

(a) h (Planck's constant)

...more

Match List – I with List – II :

List – I List – II

(a) h (Planck's constant) (i) $[M L T^{- 1}]$

(b) E (kinetic energy) (ii) $[M L^{2} T^{- 1}]$

(c) V (electric potential) (iii) $[M L^{2} T^{- 2}]$

(d) P (linear momentum) (iv) $[M L^{2} I^{- 1} T^{- 3}]$

Choose the correct answer from the options given below:

less

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Vishal Baghel

Contributor-Level 10

[h] = ML²T^-1

[E] = ML²T^-2

[V] = ML²T^-2C^-1

[P] = MLT^-1

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8 months ago

Physics Class 11th

A student is performing the experiment of resonance column. The diameter of the column tube is 6cm. THE Frequency of the tuning fork is 504 Hz. Speed of the sound at the given temperature is 336m/s. The zero of the meter scale coincides with tip end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is:

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Vishal Baghel

Contributor-Level 10

For first resonance,

$l + 0.3 d = \frac{v}{4 f}$

$\Rightarrow l + 0.3 * 6 = \frac{336 * 100}{4 * 504} \Rightarrow l = 14.8 c m$

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