Find the probability of 4 turning up for at least once in two tosses of a fair die?

A parallel plate capacitor has a capacitance C and charge Q. Another plate is inserted in between the plates of the capacitor at the center and is connected by a long wire to another far off spherical conductor of radius R. What is the potential difference between the edge of the sphere and one of the outer plates ?

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range?

A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms−1. The magnitude of its momentum is recorded as ?

While measuring the speed of sound by performing a resonance column experiment, a student gets

the first resonance condition at a column length of 18 cm during winter. Repeating the same

experiment during summer, she measures the column length to be x cm for the second resonance.

Then

(1) 18 > x

(2) x >54

(3) 54 > x > 36

(4) 36 > x > 18

Amount of oxalic acid present in a solution can be determined by its titration with KMnO4 solution in the presence of H2SO4. The titration gives unsatisfactory result when carried out in the presence of HCl, because HCl

(1) gets oxidised by oxalic acid to chlorine

(2) furnishes H+ ions in addition to those from oxalic acid

(3) reduces permanganate to Mn2+

(4) oxidises oxalic acid to carbon dioxide and water

At 80 C, the vapour pressure of pure liquid ‘A’ is 520 mm Hg and that of pure liquid ‘B’ is 1000 mm

Hg. If a mixture solution of ‘A’ and ‘B’ boils at 80 C and 1 atm pressure, the amount of ‘A’ in the mixture is (1 atm = 760 mm Hg)

Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above reaction is?

A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from

the start of service will be Rs. 11040 after?

100g of water is heated from 30C to 50C. Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is 4148 J/kg/K):

The half life of a radioactive substance is 20 minutes. The approximate time interval (t 2- t1 ) between

the time t2 when 2/3 of it has decayed and time t1 and 1/3 of it had decayed is :

Energy required for the electron excitation in Li++ from the first to the third Bohr orbit is ?

A car is fitted with a convex side-view mirror of focal length 20cm. A second car 2.8 m behind the first car is overtaking the first car at relative speed of 15 m/s. The speed of the image of the second car as seen in the mirror of the first one is?

The radii r1, r2, r3 of escribed circles of a triangle ABC are in harmonic progression. If its area is 24 sq. cm and its perimeter is 24 cm, find the lengths of its sides?

A six faced fair dice is thrown until 1 comes, then the probability that 1 comes in even number of trials is?

Two cards are drawn at random from a pack of playing cards. Find the probability that one card is a heart and the other is an ace?