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An AC circuit consists of a series combination of an inductance L 1 mH, a resistance R = 111 and a capacitance C. It is observed that the current leads the voltage by 45°. Find the value of capacitance ‘C’ if the angular frequency of applied AC is 300 rad/s.

a. 5.6 mF b. 3.92 mF c. 2.56 mF d. 5.2 mF Solution: Answer: (c)... View Article

When a disc slides on a smooth inclined surface from rest, the time taken to move from A to B is t₁. When the disc performs pure rolling from rest then the time taken to move from A to B is t₂. If [latex]frac{t_{1}}{t_{2}}=sqrt{frac{3}{x}}[/latex] find x.

a. 2b. 1c. 5d. 7Solution: Answer: (a) When disc slides a1 = gsinθSo, So, x = 2... View Article

For the spherical interface shown in the figure, the two different media with refractive indices n₁ = 1.4 and n₂ = 1.25 are present as shown. The image will be formed at

a. -125/3b. -50/6 cmc. -25/2 cmd. -20 cmSolution: Answer: (a) Given:Position of the object (u)= -40 cmRefractive index of medium 1(n1) =... View Article

Four molecules of a diatomic gas are heated from 0⁰C to 50⁰C. Find the heat supplied to the gas if work done by it is zero.

a. 780 Rb. 500 Rc. 100 Rd. 650 RSolution: Answer: (b)For a diatomic moleculeCv = 5R/2Cp = 7R/2Number of moles, n = 4ΔT = 50Sone Work done =... View Article

In the given circuit find the current through 6Ω resistance

a. 10 Ab. 7 Ac. 25 Ad. 30 ASolution: Answer: (a)Applying Kirchhoff’s law, 3(V-140)+10V+(V-90) =03V-420+10V+12V-1080 = 025V= 1500V =... View Article

A spring of force constant k = 100 N/m is compressed to x = 0.5 m by a block of mass 100 g released. Find the distance d where it falls.

a. 5 mb. 10 mc. 15 md. 20mSolution: Answer: (d)Here, we can find the horizontal velocity with which the block will leave the surface. So, using... View Article

Consider the P-V diagram given below for a cyclic process. Find the net heat supplied to the system during the process.

a. 0.625п Jb. 0.25п Jc. 0.1п Jd. 0.2п JSolution: Answer: (b)It is a cyclic process so the net change in internal energy of the system will zero.... View Article

A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1%, its speed will

1) Increase by 1% 2) Increase by 0.5% 3) Decrease by 1% 4) Decrease by 0.5% Answer: 2) Increase by 0.5% Solution: v ∝ 1/√2... View Article

If acceleration due to gravity on the surface of a planet is two times that on the surface of the earth and its radius is double that of earth. Then, escape velocity from the surface of that planet in comparison to earth will be

1) 2ve 2) 3ve 3) 4ve 4) None of these Answer: 1) 2ve Solution: The escape velocity is given by the formula, v = √2gR If... View Article

Escape velocity on the earth

1) Is less than that on the moon 2) Depends upon the mass of the body 3) Depends upon the direction of projection 4) Depends upon the height... View Article

The escape velocity of an object on a planet whose g value is 9 times on earth and whose radius is 4 times that of the earth in km/s is

1) 67.2 2) 33.6 3) 16.8 4) 25.2 Answer: 1) 67.2 Solution: Escape speed is given by V = √2gR This is approximately equal to... View Article

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Archives

An AC circuit consists of a series combination of an inductance L 1 mH, a resistance R = 111 and a capacitance C. It is observed that the current leads the voltage by 45°. Find the value of capacitance ‘C’ if the angular frequency of applied AC is 300 rad/s.

When a disc slides on a smooth inclined surface from rest, the time taken to move from A to B is t₁. When the disc performs pure rolling from rest then the time taken to move from A to B is t₂. If [latex]frac{t_{1}}{t_{2}}=sqrt{frac{3}{x}}[/latex] find x.

For the spherical interface shown in the figure, the two different media with refractive indices n₁ = 1.4 and n₂ = 1.25 are present as shown. The image will be formed at

Four molecules of a diatomic gas are heated from 0⁰C to 50⁰C. Find the heat supplied to the gas if work done by it is zero.

In the given circuit find the current through 6Ω resistance

A spring of force constant k = 100 N/m is compressed to x = 0.5 m by a block of mass 100 g released. Find the distance d where it falls.

Consider the P-V diagram given below for a cyclic process. Find the net heat supplied to the system during the process.

A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1%, its speed will

If acceleration due to gravity on the surface of a planet is two times that on the surface of the earth and its radius is double that of earth. Then, escape velocity from the surface of that planet in comparison to earth will be

Escape velocity on the earth

The escape velocity of an object on a planet whose g value is 9 times on earth and whose radius is 4 times that of the earth in km/s is

For the moon to cease to remain the earth’s satellite, its orbital velocity has to increase by a factor of

The escape velocity of a particle of mass m varies as

A particle falls towards earth from infinity. Its velocity on reaching the earth would be

In some region, the gravitational field is zero. The gravitational potential in this region

What is the intensity of the gravitational field at the centre of a spherical shell?

If density of earth increased 4 times and its radius became half of what it is, our weight will

The mass of the moon is 7.34 × 10²² kg and the radius is 1.74 × 10⁶ m. The value of gravitation force will be

A person will get more quantity of matter in kg-wt. at

Where will it be profitable to purchase 1 kg sugar?

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