A projectile is given an initial velocity of , where is along the ground and is along the vertical. If g = 10 m/s2 , the equation of its trajectory is:
(1) (2)
(3) (4)
[JEE Main 2013]
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Diameter of a plano – convex lens is 6 cm and thickness at the centre is 3 mm. If speed of light in material of lens is m/s, the focal length of the lens is:
(1) 15 cm (2) 20 cm (3) 30 cm (4) 10 cm
[JEE Main 2013]
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Match the following (multiple matches are possible) in the context of rolling motion:
Column I
Column II
(A) Angular Momentum = $\displaystyle M{{{\vec{r}}}_{CM}}\times {{{\vec{v}}}_{CM}}+{{I}_{CM}}\overrightarrow{\omega }$
(B) Kinetic Energy = $\displaystyle \frac{1}{2}Mv_{CM}^{2}+\frac{1}{2}{{I}_{CM}}{{\omega }^{2}}$
(C) Kinetic Energy = $\displaystyle \frac{1}{2}{{I}_{\text{Point of Contact}}}{{\omega }^{2}}$
(D) vcm =Rω
(p) Pure rolling
(q) Rolling
(r) Pure rotation about the point of contact
Solution
(More than one option may be correct)
Answer
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