Solution: Var(x) = (Ʃbi2/11)- (Ʃbi/11)2 90 = [(11a2+385d2+110ad)/11]-[(11a+55d)/11]2 90 = a2+35d2+10ad- (a+5d)2 90 = a2+35d2+10ad- a2-25d2-10ad 90 = 10d2 9... View Article
Question: If y = \(\begin{array}{l}\sum_{k=1}^{6}k\cos ^{-1}\left \{ \frac{3}{5}\cos kx-\frac{4}{5} \sin kx\right \}\end{array} \), then (dy/dx) at x = 0 is:... View Article
1) 10-9 s of Kr–clock of 1650763.73 oscillations 2) 10-9 s of Kr–clock of 6521389.63 oscillations 3) 10-9 s of... View Article
Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main... View Article
1) 17.6 kg ms-1 2) 17.565 kg ms-1 3) 17.56 kg ms-1 4) 17.57 kg ms-1 Answer: 1) 17.6 kg... View Article
1) five 2) four 3) six 4) None of these Answer:2) four Solution: Zero on right having decimal place are... View Article
1) 4.58×10-5 2) 4.6×10-5 3) 4.5×10-5 4) None of these Answer: 2) 4.6×10-5 Solution: Adding 3.8 ×10-6 and 42 ×10-6 and we get... View Article
In an experiment the angles are required to be measured using an instrument. 29 division of the main scale exactly... View Article
1) 5, 1, 2 2) 5, 1, 5 3) 5, 5, 2 4) 4, 4, 2 Answer: 1) 5, 1, 2... View Article
Main scale reading : 0 mm Circular scale reading : 52 divisions Given that, 1 mm on main scale corresponds... View Article
1) length 2) mass 3) time 4) No dimension Answer: 3) time Solution: The square root of the product of inductance... View Article
1) strain 2) force 3) stress 4) coefficient of viscosity Answer: 3) stress Solution: Elastic Modulus = Stress/StainStress is the force... View Article
A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading 58.5 degree.... View Article
The diameter of a cylinder is measured using a vernier callipers with no zero error. It is found that the... View Article
1) Angular momentum and Planck’s constant 2) Impulse and momentum 3) Moment of inertia and moment of a force 4)... View Article
1) force 2) momentum 3) energy 4) acceleration Answer: 2) momentum Solution: Impulse = Force × Time. Dimensional formula of impulse... View Article
1) angular momentum 2) torque 3) coefficient of thermal conductivity 4) gravitational constant Answer: 4) gravitational constant Dimensional formula of angular... View Article
1) 1 2) 0 3) does not exist 4) ∞ Solution: (2) 0 \(\begin{array}{l}\begin{array}{l} \lim _{x \rightarrow 0} x^{2} \sin... View Article
1) 0 2) 1 3) 3 4) None of these Solution: (2) 1 \(\begin{array}{l}\lim _{x \rightarrow 0} \frac{\ln \left(1+x^{3}\right)}{\sin ^{3}... View Article
1) 3 2) 2 3) -1 4) 4 Solution: (1) 3 \(\begin{array}{l}\begin{array}{l} \lim _{x \rightarrow 0} \frac{8 \sin x+x \cos... View Article
