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JEE Main, Physics

A projectile is given an initial velocity of $$\hat i + 2\hat j$$

March 6, 2014 Manish Verma Leave a comment

A projectile is given an initial velocity of , where is along the ground and is along the vertical. If g = 10 m/s2, the equation of its trajectory is:

(1)                 (2)

(3)                 (4)

[JEE Main 2013]

Continue reading A projectile is given an initial velocity of $$\hat i + 2\hat j$$ →

Projectile Motion
Chemistry

Solid State Applications

March 5, 2014 Manish Verma Leave a comment

The video embedded below contains some problems & solutions from Solid State. Full-screen HD video setting is recommended for playback or this link can be used.
Continue reading Solid State Applications →

Solid State
Mathematics

Evaluate \(\int {\left\{ {{{\left( {\frac{x}{e}} \right)}^x} + {{\left( {\frac{e}{x}} \right)}^x}} \right\}} \ln xdx\)

March 4, 2014 Manish Verma Leave a comment

Evaluate,

Continue reading Evaluate \(\int {\left\{ {{{\left( {\frac{x}{e}} \right)}^x} + {{\left( {\frac{e}{x}} \right)}^x}} \right\}} \ln xdx\) →

Integration
JEE Main, Physics

Plano-Convex Lens Having 3 mm Thickness

March 2, 2014 Manish Verma Leave a comment

Diameter of a plano – convex lens is 6 cm and thickness at the centre is 3 mm. If speed of light in material of lens is m/s, the focal length of the lens is:

(1) 15 cm    (2) 20 cm    (3) 30 cm    (4) 10 cm

[JEE Main 2013]

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Ray Optics
Chemistry, JEE Advanced

JEE Advanced 2013 Carboxylic Acid Solution

March 1, 2014 Manish Verma Leave a comment

The total number of carboxylic acid groups in the product P
is

[JEE Advanced 2013]

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Carboxylic Acid
JEE Advanced, Mathematics

Area Between y = sin x + cos x and y = |cos x – sin x|

February 28, 2014 Manish Verma Leave a comment

Only one option is correct.

[JEE Advanced 2013]

Continue reading Area Between y = sin x + cos x and y = |cos x – sin x| →

AreaIntegration
JEE Advanced, Physics

JEE Advanced 2013 Physics Electrostatics Solution

February 25, 2014 Manish Verma Leave a comment

More than one option may be correct.

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Electrostatics

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  • ${\scriptscriptstyle 6 + f(x) = 2f( – x) + 3{x^2}\int\limits_{ – 1}^1 {f(t)dt}}$
  • $\scriptstyle f(x) = {\left( {\frac{x}{\pi }} \right)^x} + {\left( {\frac{\pi }{x}} \right)^x}$
  • $\scriptstyle \sqrt {7 – \sqrt {7 + \sqrt {7 – \sqrt {7 + …..} } } }$
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