1
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If the function.

$$g\left( x \right) = \left\{ {\matrix{ {k\sqrt {x + 1} ,} & {0 \le x \le 3} \cr {m\,x + 2,} & {3 < x \le 5} \cr } } \right.$$

is differentiable, then the value of $$k+m$$ is :
A
$${{10} \over 3}$$
B
$$4$$
C
$$2$$
D
$${{16} \over 5}$$
2
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Let A and B be two sets containing four and two elements respectively. Then, the number of subsets of the set A $\times$ B , each having atleast three elements are
A
219
B
256
C
275
D
510
3
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The period of oscillation of a simple pendulum is $$T = 2\pi \sqrt {{L \over g}} $$. Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using wrist watch of 1 s resolution. The accuracy in the determination of g is:
A
1 %
B
5 %
C
2 %
D
3 %
4
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle of mass $$m$$ moving in the $$x$$ direction with speed $$2v$$ is hit by another particle of mass $$2m$$ moving in the $$y$$ direction with speed $$v.$$ If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to:
A
$$56\% $$
B
$$62\% $$
C
$$44\% $$
D
$$50\% $$
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