Diameter of plano-convex lens is 6 cm and thickness at the centre is 3 mm. If speed of light in material of lens is 2×108m/s, the focal length of the lens is :
Let PS be the median of the triangle with vertices P(2,2),Q(6,−1)andR(7,3). The equation of the linepassing through (1,−1) and parallel to PS is
This question has statement I and statement II. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement- I: Higher the range, greater is the resistance of ammeter.
Statement- II: To increase the range of ammeter, additional shunt needs to be used across it.
A hoop of radius r and mass m rotating with an angular velocity ω0 is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?
Three positive numbers from an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is
A solid body of constant heat capacity J/∘C is being heated by keeping it in contact with reservoirs in two ways :
(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequentially keeping in contact 8 reservoirs such that each reservoir supplies same amount of heat.
In both the cases body is brought from initial temperature 100∘C to final temperature 200∘C. Entropy change of the body in the two cases respectively is :