List of practice Questions

Two point charges placed a distance d apart in vacuum exert a force of magnitude F on each other. One of the two charges is doubled. To keep the magnitude of force same the separation between the charges should be changed to
Conductors develop electric currents in them
In the (i) absence of electric field, and in the (ii) presence of electric field, the paths of electrons between successive collisions with the positive ions of the metal, are
For an ac source rated at 220 V, 50 Hz, which of the following statements is correct?
Which of the following statements is not correct for electromagnetic induction?
Which of the following statements are correct?
(A) All mirrors follow the laws of reflection.
(B) The angle between the ray of incidence and the plane surface of the mirror is equal to the angle between the plane surface of mirror and the ray of reflection for plane mirror
(C) the rays coming parallel to the principal axis will go after reflection through the focus of the curved mirror
(D) the rays coming to the pole of a curved mirror making an angle with axis will be reflected making the equal angle with the axis on the other side of the axis.
Choose the correct answer from the options given below:
A proton accelerated through a potential difference of V volts has a de-Broglie wavelength \(\lambda\) associated with it. In order to get the same wavelength associated with an \(\alpha\)-particle, the required accelerating potential is
What is the solution to the differential equation \( \frac{dy}{dx} = \frac{y}{x} \) with the initial condition \( y(1) = 2 \)?
In an arithmetic progression, if \( S_{40} = 1030 \) and \( S_{12} = 57 \), then \( S_{30} - S_{10} \) is equal to:
If the probability that the random variable X takes the value x is given by \( P(X = x) = k(x + 1)3^{-x} \), \( x = 0, 1, 2, 3, ... \), where k is a constant, then \( P(X \ge 3) \) is equal to
The line $ L_1 $ is parallel to the vector $ \mathbf{a} = -3\hat{i} + 2\hat{j} + 4\hat{k} $ and passes through the point $ (7, 6, 2) $, and the line $ L_2 $ is parallel to the vector $ \mathbf{b} = 2\hat{i} + \hat{j} + 3\hat{k} $ and passes through the point $ (5, 3, 4) $. The shortest distance between the lines $ L_1 $ and $ L_2 $ is:
According to the passage, what was Stanley?
The word absurdity is closest in meaning to:
Choose the word that correctly fills the blank:
'The government has taken steps to _ _ the situation.'
The idiom 'To confess without reserve' best describes which phrase?
Read the sentence and identify the grammatical error:
'This is one of the most interesting book I have ever read.'
Which is the correct synonym for Fatalist?
Which of the following best describes what modern robots have done to the job market?
Which of the following is NOT mentioned as an application of robots?
The idiom/proverb 'To pick holes' means:
The idiom 'gift horse in the mouth' (usually 'look a gift horse in the mouth') means:
Rearrange the following five sentences to form a meaningful paragraph:
1. After examining him... 2. Thinking he was really sick... 3. That day, Mintu wanted... 4. Immediately, Mintu jumped up... 5. Therefore, he pretended...
Arrange the sentences in a logical order:
A. As officials... B. Ambassadors have to... C. To say what they feel... D. So, with ambassadors... E. They do a specialized job...
Arrange sentences in logical order:
A. "This face-off..." B. During the past... C. The recent revival... D. State governments allege... E. Shrill alarm about...
Select the correct synonym of the word: Haughty