64 identical balls made of conducting material each having a potential of 10 mV are joined to form a bigger ball. The potential of a bigger ball is?
Shortest distance between lines \(\frac{(x-5)}{4}\)=\(\frac{(y-3)}{6}\)=\(\frac{(z-2)}{4}\) and \(\frac{(x-3)}{7}=\frac{(y-2)}{5}=\frac{(z-9)}{6}\) is ?
Consider the word INDEPENDENCE. The number of words such that all the vowels are together is?
7 boys and 5 girls are to be seated around a circular table such that no two girls sit together is?
If the coefficients of three consecutive terms in the expansion of (1+x)n are in the ratio 1:5:20, then the coefficient of the fourth term of the expansion is?
A bolt manufacturing factory has three products A, B and C. 50% and 30% of the products are A and B type respectively and remaining are C type. Then probability that the product A is defective is 4%, that of B is 3% and that of C is 2%. A product is picked randomly picked and found to be defective, then the probability that it is type C.
The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:
A body is released from a height equal to the radius (r) of the earth. The velocity of the body when it strikes the surface of the earth will be:
If the total charge stored in capacitors is equal to 100μc, then find the value of x. (10V)
Match the list-I with list-II and choose the correct option.
