Question : A wire of resistance R is melted and recast to half of its length, then the new resistance of the wire will be

Option 1: R/4

Option 2: R/2

Option 3: R

Option 4: 2R

Question : A copper wire is bent in the form of a square and it encloses an area of 30.25 cm². If the same wire is bent to form a circle, then find the area of the circle.
[Use $\pi=\frac{22}{7}$]

Option 1: 38.50 cm²

Option 2: 42.25 cm²

Option 3: 35 cm²

Option 4: 30.25 cm²

Question : A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase in its total surface area?

Option 1: 77 cm²

Option 2: 60.5 cm²

Option 3: 65.5 cm²

Option 4: 55 cm²

Question : The least value of n, such that (1 + 3 + 3²+.......+3ⁿ) exceeds 2000, is:

Option 1: 5

Option 2: 6

Option 3: 7

Option 4: 8

Question : Which of the following laws, represented by the formula T²/R³, compares the orbital period and radius of the orbit of a planet with that of other planets?

Option 1: Hubble's Law

Option 2: Copernicus's Law

Option 3: Kepler's Third Law

Option 4: Bragg's Law