1
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+4
-1
If $$\overrightarrow a \,,\,\overrightarrow b $$ and $$\overrightarrow c $$ are unit coplanar vectors, then the scalar triple product $$\left[ {2\overrightarrow a - \overrightarrow b ,2\overrightarrow b - \overrightarrow c ,2\overrightarrow c - \overrightarrow a } \right] = $$
A
$$0$$
B
$$1$$
C
$$ - \sqrt 3 $$
D
$$ \sqrt 3 $$
2
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
The dimension of $$\left( {{1 \over 2}} \right){\varepsilon _0}{E^2}$$
( $${\varepsilon _0}$$ : permittivity of free space, E electric field )
A
MLT-1
B
ML2T-2
C
ML-1T-2
D
ML2T-1
3
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed v, the electrical power output will be proportional to
A
v
B
v2
C
v3
D
v4
4
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
The period of oscillation of a simple pendulum of length $$L$$ suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination $$\alpha$$, is given by
A
$$2\pi \sqrt {{L \over {g\cos \alpha }}} $$
B
$$2\pi \sqrt {{L \over {g\sin \alpha }}} $$
C
$$2\pi \sqrt {{L \over g}} $$
D
$$2\pi \sqrt {{L \over {g\tan \alpha }}} $$
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