1
JEE Advanced 2015 Paper 2 Offline
Numerical
+4
-0
Suppose that $$\overrightarrow p ,\overrightarrow q$$ and $$\overrightarrow r$$ are three non-coplanar vectors in $${R^3}$$. Let the components of a vector $$\overrightarrow s$$ along $$\overrightarrow p ,$$ $$\overrightarrow q$$ and $$\overrightarrow r$$ be $$4, 3$$ and $$5,$$ respectively. If the components of this vector $$\overrightarrow s$$ along $$\left( { - \overrightarrow p + \overrightarrow q + \overrightarrow r } \right),\left( {\overrightarrow p - \overrightarrow q + \overrightarrow r } \right)$$ and $$\left( { - \overrightarrow p - \overrightarrow q + \overrightarrow r } \right)$$ are $$x, y$$ and $$z,$$ respectively, then the value of $$2x+y+z$$ is
2
JEE Advanced 2015 Paper 2 Offline
Numerical
+3
-1
Let m and n be two positive integers greater than 1. If $$\mathop {\lim }\limits_{\alpha \to 0} \left( {{{{e^{\cos \left( {{\alpha ^n}} \right)}} - e} \over {{\alpha ^m}}}} \right) = - \left( {{e \over 2}} \right)$$\$ then the value of $${m \over n}$$ is _________.
3
JEE Advanced 2015 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
In terms of potential difference V, electric current I, permittivity $${\varepsilon _0}$$, permeability $${\mu _0}$$ and speed of light c, the dimensionally correct equation(s) is(are) :
A
$${\mu _0}{I^2} = {\varepsilon _0}{V^2}$$
B
$${\varepsilon _0}I = {\mu _0}V$$
C
$$I = {\varepsilon _0}cV$$
D
$${\mu _0}cI = {\varepsilon _0}V$$
4
JEE Advanced 2015 Paper 2 Offline
Numerical
+4
-0
The energy of a system as a function of time t is given as E(t) = $${A^2}\exp \left( { - \alpha t} \right)$$, where $$\alpha = 0.2\,{s^{ - 1}}$$. The measurement of A has an error of 1.25 %. If the error in the measurement of time is 1.50 %, the percentage error in the value of E(t) at t = 5 s is