A charge Q is placed at the mouth of a conical flask. The flux of the electric field through the flask is
Directions: The following figure shows an experimental arrangement given by Fresnel. It consists of two plane mirrors inclined at an angle of 12 minutes of arc. The distances from the mirrors' intersection to the side 'S' and the screen are 10 cm and 130 cm, respectively. The wavelength of light in Fresnel double mirrors can be looked upon as modified YDSE. Here, the two coherent sources are virtual and mirror images of S. Interference is obtained due to reflected light from the two mirrors. Interference pattern consists of alternate bright and dark fringes similar to YDSE, but with a difference that interference pattern is limited to overlapping region. Fringe width and position of maxima and minima is given by similar expression as in YDSE.
The number of possible fringes formed on the screen is
A shell of mass 2 m, fired with a speed u at an angle θ to the horizontal, explodes at the highest point of its trajectory into two fragments of mass m each. If one fragment falls vertically, the distance at which the other fragment falls from the gun is given by
A right-angled prism is to be made by selecting a proper material and angles A and B (B ≤ A), as shown in the figure. It is desired that a ray of light incident on face AB emerges parallel to the incident direction after two internal reflections. What should be the minimum refractive index (n) for this to be possible?
The figure shows a series LCR circuit connected to a variable frequency 200 V source. If L = 5 H, C = 80 F and R = 40
, then what is the impedance of the circuit at resonance?
Two carts of masses 200 kg and 300 kg, standing on horizontal straight rails, are pushed apart by an explosion of a device kept in the connecting mechanism of carts. The coefficient of friction between carts and rails is identical. If the 200 kg cart travels a distance 36 m and stops, then what is the distance covered by the cart weighing 300 kg?
A ray of light enters a rectangular glass slab of refractive index μ = √3 at an angle of incidence i = 60°. It travels a distance d = 6.0 cm inside the slab before emerging out of it. The lateral displacement of the incident ray is
In a resonance tube experiment, the first and the second resonance with a given tuning fork were observed at 16.7 cm and 51.7 cm, respectively. The wavelength as deduced from the data is:
A body 'x' with a momentum 'p' collides with another identical stationary body 'y', one-dimensionally. During the collision, 'y' gives an impulse 'J' to the body 'x'. Then, the coefficient of restitution is
An alloy of Pb-Ag weighing 1.08 g was dissolved in dilute HNO3 and the total volume was made to be 100 mL. A silver electrode was dipped in the solution and the emf of the cell set up Pt(s), H2(g) | H+(1M) || Ag+ (aq) | Ag(s) was 0.62 V. If Eocell = 0.80 V, then what is the percentage of Ag in the alloy?
[At 25oC, RT/F = 0.06]
x moles of potassium dichromate oxidise 1 mole of ferrous oxalate in the acidic medium. Here, x is
Directions: Select the Answer figure in which the given Question figure is hidden.
Directions: Identify the Answer figure from which the pieces given in Question figure have been cut.
Directions: Select one figure from the answer figures which will continue the same series as given in the problem figures.
Which of the Answer figures will complete the pattern in the Question figure?
Directions: In the following question, choose the word which best fills the blank from the four options given.
Hardly would anyone ___________ that this straw could start a revolution.
Directions: Select one figure from the 'Answer Figures' which will continue the same series as given in the 'Problem Figures'.
Directions: The second figure of the Problem figures bears a certain relationship to the first figure. Similarly, one of the figures in Answer Figures bears the same relationship to the third figure. You have to select the figure from the set of Answer figures which would replace the sign of question mark (?).
Directions: A piece of paper is folded and punched as shown below.
How will this paper look, when it is unfolded completely?
Directions: This question consists of five unmarked figures followed by four figures numbered (1), (2), (3) and (4). Select a figure from the marked figures which will continue the series established by the unmarked figures.
In a moderately skewed distribution, the values of mean and median are 5 and 6, respectively. The value of mode in such a situation is approximately equal to
The solution of the differential equation (x5 + x + 2x2y) dy + (3x4y - y) dx = 0 is
The standard deviation of the first (2n + 1) natural numbers is
If 1, ω, ω2 be the cube roots of unity, then (1 − ω + ω2)5 + (1 + ω − ω2)5 is equal to
The intercept on the line y = x by the circle x2 + y2 – 2x = 0 is AB. The equation of the circle with AB as a diameter is: