In a binomial distribution consisting of 5 independent trials, the probability of 1 and 2 successes are 0.4096 and 0.2048 respectively. The parameter p of the distribution is

1) $$1/3$$
2) $$1/4$$
3) $$1/5$$
4) None of these

 The initial activity of a sample is measured to be 3400 decays/seconds. After 145 seconds the decay rate is measured to be 150 decays/seconds. The half-life of the sample is approximately:

(1) 2 seconds.

(2) 6 seconds.

(3) 32 seconds..

(4) 27 seconds.

Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light o f wavelength 500 nm coming from a star ;-

1) $$305 \times 10^{-9}$$ radian
2) $$152.5 \times 10^{-9}$$ radian
3) $$610 \times 10^{-9}$$ radian
4) $$457.5 \times 10^{-9}$$ radian

When a string is under a tension of 100 N, a pulse travels down it at a speed of 100 m/s. If you double the tension in the string to 200 N, the pulse would travel at about:

In the b-particle emission, the daughter nuclide will be an _______ of the parent.

1) Isotone
2) Isotope or isobar
3) Isobar
4) Isotope

In this Question

Two similar open organ pipes when sounded together produce 7 beats/s. If their lengths are in the ratio 50 : 51 then ratio of their frequencies will be

1) 7 :1
2) 50 : 51
3) 51 : 50
4)  1 : 7

The value of cot (cosec^-1 5/3 + tan^-1 2/3) is

1) 4/17
2) 5/17
3) 6/17
4) 3/17

A car travels 90. meters due north in 15 seconds. Then the car turns around and travels 40. meters due south in 5.0 seconds. What is the magnitude of the average velocity of the car during this 20.-second interval?
 
 1) 2.5 m/s
 2) 5.0 m/s
 3) 6.5 m/s
 4) 7.0 m/s

An element has the electronic configuration 1s²2s²2p⁶3s²3p⁶3d¹⁰4s²4p³. Its properties are similar to

1)  oxygen

2)  chlorine

3)  boron

4)  nitrogen