1
IIT-JEE 2009 Paper 2 Offline
Numerical
+3
-1
The smallest value of $$k$$, for which both the roots of the equation $$${x^2} - 8kx + 16\left( {{k^2} - k + 1} \right) = 0$$$ are real, distinct and have values at least 4, is
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2
IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

The locus of the orthocentre of the triangle formed by the lines

$$(1 + p)x - py + p(1 + p) = 0, $$

$$(1 + q)x - qy + q(1 + q) = 0$$

and $$y = 0$$, where $$p \ne q$$, is :

A
a hyperbola.
B
a parabola.
C
an ellipse.
D
a straight line.
3
IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
A piece of wire is bent in the shape of a parabola y = kx2 (y-axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration $$a$$. The distance of the new equilibrium position of the bead, where the bead can stays at rest with respect to the wire, from the y-axis is
A
$${a \over {gk}}$$
B
$${a \over {2gk}}$$
C
$${{2a} \over {gk}}$$
D
$${a \over {4gk}}$$
4
IIT-JEE 2009 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

Photoelectric effect experiments are performed using three different metal plates p, q and r having work functions $$\phi_p=2.0~\mathrm{eV}$$, $$\phi_q=2.5~\mathrm{eV}$$ and $$\phi_r=3.0~\mathrm{eV}$$, respecticely. A light beam containing wavelengths of 550 nm, 450 nm and 350 nm with equal intensities illuminates each of the plates. The correct I-V graph for the experiment is (Take hc = 1240 eV nm)

A
IIT-JEE 2009 Paper 2 Offline Physics - Dual Nature of Radiation Question 5 English Option 1
B
IIT-JEE 2009 Paper 2 Offline Physics - Dual Nature of Radiation Question 5 English Option 2
C
IIT-JEE 2009 Paper 2 Offline Physics - Dual Nature of Radiation Question 5 English Option 3
D
IIT-JEE 2009 Paper 2 Offline Physics - Dual Nature of Radiation Question 5 English Option 4
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