1
JEE Advanced 2013 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2

The function $$f(x) = 2\left| x \right| + \left| {x + 2} \right| - \left| {\left| {x + 2} \right| - 2\left| x \right|} \right|$$ has a local minimum or a local maximum at x =

A
$$-$$2
B
$${{ - 2} \over 3}$$
C
2
D
$${{ 2} \over 3}$$
2
JEE Advanced 2013 Paper 2 Offline
MCQ (More than One Correct Answer)
+3
-0.75
Using the expression $$2d\sin \theta = \lambda$$, one calculates the values of d by measuring the corresponding angles $$\theta$$ in the range 0 to 90o. The wavelength $$\lambda$$ is exactly known and the error in $$\theta$$ is constant for all values of $$\theta$$. As $$\theta$$ increases from 0o
A
the absolute error in d remains constant
B
the absolute error in d increases
C
the fractional error in d remains constant
D
the fractional error in d decreases
3
JEE Advanced 2013 Paper 2 Offline
+3
-0.75
Match List I with List II and select the correct answer using the codes given below the lists:

List I

P. Boltzmann Constant
Q. Coefficient of viscosity
R. Plank Constant
S. Thermal conductivity

List II

1. [ML2T-1]
2. [ML-1T-1]
3. [MLT-3K-1]
4. [ML2T-2K-1]
A
\eqalign{ & P\,\,\,\,Q\,\,\,\,R\,\,\,\,S \cr & 3\,\,\,\,\,\,1\,\,\,\,\,2\,\,\,\,\,4 \cr}
B
\eqalign{ & P\,\,\,\,Q\,\,\,\,R\,\,\,\,S \cr & 3\,\,\,\,\,\,2\,\,\,\,\,1\,\,\,\,\,4 \cr}
C
\eqalign{ & P\,\,\,\,Q\,\,\,\,R\,\,\,\,S \cr & 4\,\,\,\,\,\,2\,\,\,\,\,1\,\,\,\,\,3 \cr}
D
\eqalign{ & P\,\,\,\,Q\,\,\,\,R\,\,\,\,S \cr & 4\,\,\,\,\,\,1\,\,\,\,\,2\,\,\,\,\,3 \cr}
4
JEE Advanced 2013 Paper 2 Offline
+3
-0.75

A small block of mass 1 kg is released from rest at the top of a rough track. The track is circular arc of radius 40 m. The block slides along the track without toppling and a frictional force acts on it in the direction opposite to the instantaneous velocity. The work done in overcoming the friction up to the point Q, as shown in the figure, below, is 150 J. (Take the acceleration due to gravity, g = 10 m/s2)

The speed of the block when it reaches the point Q is

A
5 ms-1
B
10 ms-1
C
$$10\sqrt 3$$ ms-1
D
20 ms-1
EXAM MAP
Medical
NEET