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Two particles have masses m and 4m and their kinetic energies are in the ratio 2:1. What is the ratio of their linear momenta

1) 1/2 2) 1/√2 3) 1/4 4) none of these Solution: Kinetic energy, KE = p2/2m KE1 = p12/2m KE2 = p22/8m Given KE1/KE2 = 2/1... View Article

If R and H represent horizontal range and maximum height of the projectile, then the angle of projection with the horizontal is

1) tan-1(H/R) 2) tan-1(2H/R) 3) tan-1(4H/R) 4) tan-1(4R/H) Solution: Horizontal range, R = u2sin 2θ/g Maximum height, H =... View Article

The ball is projected vertically upward with a velocity of 112 m/s. The time taken by it to return to the point of projection is (g = 10 m/s²)

1) 11 s 2) 33 s 3) 5.5 s 4) none of these Solution: Given initial velocity, u = 112m/s Acceleration of ball = -g At maximum... View Article

In the expansion of (1 + x + x²)e^-x, the coefficient of x² is

1) 1 2) -1 3) 1/2 4) -1/2 Solution: (1+ x + x2)e-x = (1 + x + x2) (1 - x/1! + x2/2! - x3/3! + ….) Coefficient of x2 = 1 - 1 + 1/2 =... View Article

The maximum horizontal range of a ball projected with a velocity of 39.2 m/s is (take g = 9.8 m/s²)

1) 100 m 2) 127 m 3) 157 m 4) 177 m Solution: Given u = 39.2 m/s g = 9.8 m/s2 Maximum horizontal range = u2/g = 39.22/9.8 = 156.8 = 157... View Article

What is the octal equivalent of binary number 111001

1) 69 2) 70 3) 71 4) 82 Solution: Given binary number is 111001. Here we group all the digits in sets of three starting from the... View Article

What is the hexadecimal equivalent of decimal number 785

1) 1A2 2) 311 3) AB5 4) None of these Solution: Given decimal number is 785. To convert it into hexadecimal, divide (785)10... View Article

The decimal equivalent of (264)₈ is

1) 180 2) 170 3) 166 4) None of these Solution: Given octal number is 264 Multiply each digit of the octal number by the... View Article

What is the decimal equivalent of the octal number 217

1) 140 2) 143 3) 150 4) 155 Solution: Given octal number is 217 Multiply each digit of the octal number by the corresponding power... View Article

The electronic components used in third generation of computers are

1) Vacuum tubes 2) Transistors 3) Integrated circuit 4) none of these Solution: The third generation of computers used Integrated... View Article

The law a + b = b + a is called

1) Closure law 2) Associative law 3) Commutative law 4) Distributive law Solution: The law a + b = b + a is called Commutative law.... View Article

Subtraction of integers is an operation that is

1) Commutative and associative 2) Not commutative but associative 3) Neither commutative nor associative 4) Commutative but not associative... View Article

(10001)₂ is

1) 16 2) 17 3) 15 4) 14 Solution: Given binary number is 10001 (Multiply each digit of the binary number by the corresponding power of two... View Article

What is the decimal equivalent of the binary number 101010?

1) 20 2) 42 3) 22 4) 23 Solution: Given binary number is 101010 (Multiply each digit of the binary number by the corresponding... View Article

How many bytes are there in a kilobyte

1) 512 2) 1024 3) 2048 4) 4096 Solution: 1 kilobyte = 1024 bytes Hence option (2) is the answer.... View Article

Two spheres of the same size, one of mass 2 kg and another of mass 4 kg are dropped simultaneously from the top of Qutub Minar (height = 72 m). When they are 1 above the ground, the two spheres have the same

1) Momentum 2) Kinetic energy 3) Potential energy 4) Acceleration Answer: 4) Acceleration Solution: They will have the same... View Article

An object is projected upwards with a velocity of 100 m/s. It will strike the ground after (approximately)

1) 10 sec 2) 20 sec 3) 15 sec 4) 5 sec Answer: 2) 20 sec Solution: Consider the equation of motion , v = u + at acceleration is negative... View Article

A body is released from a great height and falls freely towards the earth.

A body released from a height falls freely towards earth. Another body is released from the same height exactly one second later. The seperation... View Article

A ball P is dropped vertically and another ball Q is thrown horizontally with the same velocities from the same height and at the same time. If air resistance is neglected, then

1) Ball P reaches the ground first 2) Ball Q reaches the ground first 3) Both reach the ground at the same time 4) The respective masses of... View Article

A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of

1) 3s 2) 5s 3) 7s 4) 9s Answer: 2) 5s Solution: Distance covered in first three seconds = Distance covered in last second (1/2) g... View Article