List of practice Questions

An electron is moving along positive x direction in xy plane, magnetic field points in negative z direction, then the force due to magnetic field on electron points in the direction 

Find the energy stored in the capacitor in a given circuit. 
The work function for two metals are 9eV and 4.5eV. Find the approx. difference between their threshold wavelength. (use hc = 1240 eV - nm)

Given below are two statements: one is labeled as Assertion (A) and the other is labeled as Reason (R).
Assertion (A): Acidic nature follows the order:

Reason (R): F is a better electron-withdrawing group than Cl
In the light of the above statements, write the detailed answer:

For the given radioactive decay \(^{298}_{94}X → ^{294}_{92}X + ^{4}_{2}ɑ + Q\) - value, binding energy per nucleon of X, Y and ɑ are a, b and c. The Q - value is equal to
If the formula of borax is \(Na_2B_4Ox(OH)y.zH_2O\) , Find the value of x + y + z. 
If \(sin^{-1}x=2\,tan^{-1}x\) , then the number of integral values of x is equal to:
Let \( \alpha, \beta \) be the roots of the equation \( x^2 - \sqrt{2}x + 2 = 0 \), then \( \alpha^{14} + \beta^{14} \) is equal to:
\((2x^3-\frac{1}{3}x^8)^5\) → coefficient of \(x^4\)

Find out the rank of MONDAY in English dictionary if all alphabets are arranged in order?

If a planet has mass equal to 16 times the mass of earth, and radius equal to 4 times that of earth. The ratio of escape speed of a planet to that of earth is?

A particle is thrown vertically upward with initial velocity of 150m/s. Find the ratio of its speed at t=3s and t=5s. (Take g=10 \(ms^{-2}\))

Find the ratio of de-Broglie wavelength of a proton and a 𝝰 - particle, when accelerated through a potential difference of 2V and 4V respectively.

If a body of mass 5 kg is in equilibrium due to forces \(F_1\), \(F_2\) and \(F_3\). \(F_2\) and\(F_3\) are perpendicular to each other. If \(F_1\) is removed then find the acceleration of the body. Given \(F_2\)=6N and \(F_3\)=8N

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?

If an object cools down from 80°C to 60°C in 5 min in a surrounding of temperature 20°C. The time taken to cool from 60°C to 40°C will be (Assume Newton’s law of cooling to be valid)

An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is 12 cm. When viewed from the opposite side, the apparent distance of the bubble is observed as 4 cm. If the side of the ice cube is 24 cm, the refractive index of the ice cube is:

A dipole having dipole moment M is placed in two magnetic fields of strength B1 and B2 respectively. The dipole oscillates 60 times in 20 seconds in the \(B_1\) magnetic field and 60 oscillations in 30 seconds in the \(B_2\) magnetic field. Then find the \(\frac{B_1}{B_2}\)
An object is placed Infront of a plane mirror 12 cm away from it. The object is kept fixed while the plane mirror is shifted towards the object by a distance of 4 cm. The length of shift in the position of image is equal to ___________ cm.

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.

Let the number of elements in sets \(A\) and \(B\) be five and two respectively. Then the number of subsets of \(A \times B\) each having at least 3 and at most 6 elements is: